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“An envelope function formalism for lattice-matched heterostructures”. Van de Put ML, Vandenberghe WG, Magnus W, Sorée B, Physica: B : condensed matter 470-471, 69 (2015). http://doi.org/10.1016/j.physb.2015.04.031
Abstract: The envelope function method traditionally employs a single basis set which, in practice, relates to a single material because the k.p matrix elements are generally only known in a particular basis. In this work, we defined a basis function transformation to alleviate this restriction. The transformation is completely described by the known inter-band momentum matrix elements. The resulting envelope function equation can solve the electronic structure in lattice matched heterostructures without resorting to boundary conditions at the interface between materials, while all unit-cell averaged observables can be calculated as with the standard envelope function formalism. In the case of two coupled bands, this heterostructure formalism is equivalent to the standard formalism while taking position dependent matrix elements. (C) 2015 Elsevier B.V. All rights reserved
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.386
Times cited: 5
DOI: 10.1016/j.physb.2015.04.031
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“Analytical and self-consistent quantum mechanical model for a surrounding gate MOS nanowire operated in JFET mode”. Sorée B, Magnus W, Pourtois G, Journal of computational electronics 7, 380 (2008). http://doi.org/10.1007/s10825-008-0217-3
Abstract: We derive an analytical model for the electrostatics and the drive current in a silicon nanowire operating in JFET mode. We show that there exists a range of nanowire radii and doping densities for which the nanowire JFET satisfies reasonable device characteristics. For thin nanowires we have developed a self-consistent quantum mechanical model to obtain the electronic structure.
Keywords: A1 Journal article; Condensed Matter Theory (CMT); Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 1.526
Times cited: 70
DOI: 10.1007/s10825-008-0217-3
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“Ballistic current in metal-oxide-semiconductor field-effect transistors: the role of device topology”. Pourghaderi MA, Magnus W, Sorée B, Meuris M, de Meyer K, Heyns M, Journal of applied physics 106, 053702 (2009). http://doi.org/10.1063/1.3197635
Abstract: In this study we investigate the effect of device topology on the ballistic current in n-channel metal-oxide-semiconductor field-effect transistors. Comparison of the nanoscale planar and double-gate devices reveals that, down to a certain thickness of the double gate film, the ballistic current flowing in the double gate device is twice as large compared to its planar counterpart. On the other hand, further thinning of the film beyond this threshold is found to change noticeably the confinement and transport characteristics, which are strongly depending on the film material and the surface orientation. For double gate Ge and Si devices there exists a critical film thickness below which the transverse gate field is no longer effectively screened by the inversion layer electron gas and mutual inversion of the two gates is turned on. In the case of GaAs and other similar IIIV compounds, a decrease in the film thickness may drastically change the occupation of the L-valleys and therefore amend the transport properties. The simulation results show that, in both cases, the ballistic current and the transconductance are considerably enhanced.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.068
Times cited: 3
DOI: 10.1063/1.3197635
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“Barrier permeation effects on the inversion layer subband structure and its applications to the electron mobility”. Lujan GS, Magnus W, Sorée B, Ragnarsson LA, Trojman L, Kubicek S, De Gendt S, Heyns A, De Meyer K, Microelectronic engineering 80, 82 (2005). http://doi.org/10.1016/j.mee.2005.04.047
Abstract: The electron wave functions in the inversion layer are analyzed in the case where the dielectric barriers are not infinite. This forces the electron concentration closer to the interface silicon/oxide and reduces the subband energy. This treatment of the inversion layer is extended to the calculation of the electron mobility degradation due to remote Coulomb scattering on a high-k dielectric stacked transistor. The subband energy reduction leads to a decrease of the scattering charge needed to explain the experimental results. This model can also fit better the experimental data when compared with the case where no barrier permeation is considered.
Keywords: A1 Journal article; Engineering sciences. Technology; Condensed Matter Theory (CMT)
Impact Factor: 1.806
Times cited: 1
DOI: 10.1016/j.mee.2005.04.047
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“Carrier transport in nanodevices: revisiting the Boltzmann and Wigner distribution functions”. Brosens F, Magnus W, Physica status solidi: B: basic research 246, 1656 (2009). http://doi.org/10.1002/pssb.200844424
Abstract: In principle, transport of charged carriers in nanometer sized solid-state devices can be fully characterized once the non-equilibrium distribution function describing the carrier ensemble is known. In this light, we have revisited the Boltzmann and the Wigner distribution functions and the framework in which they emerge from the classical respectively quantum mechanical Liouville equation. We have assessed the method of the characteristic curves as a potential workhorse to solve the time dependent Boltzmann equation for carriers propagating through spatially non-uniform systems, such as nanodevices. In order to validate the proposed solution strategy, we numerically solve the Boltzmann equation for a one-dimensional conductor mimicking the basic features of a biased low-dimensional transistor operating in the on-state. Finally, we propose a computational scheme capable of extending the benefits of the above mentioned solution strategy when it comes to solve the Wigner-Liouville equation.
Keywords: A1 Journal article; Condensed Matter Theory (CMT); Theory of quantum systems and complex systems
Impact Factor: 1.674
Times cited: 8
DOI: 10.1002/pssb.200844424
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“Classical trajectories : a powerful tool for solving tunneling problems”. Sels D, Brosens F, Magnus W, Physica: A : theoretical and statistical physics 391, 78 (2012). http://doi.org/10.1016/j.physa.2011.08.030
Abstract: In the realm of Ehrenfests theorem, classical trajectories obeying Newtons laws have been proven useful to construct explicit solutions to the time-dependent WignerLiouville equation. Whereas previous works have particularly focused on the initial distribution function as a vehicle found to carry the signatures of quantum statistics into the time-dependent solution, the present paper shows that the LagrangeCharpit method based on classical trajectories can be successfully invoked as well to tackle quantum mechanical features with no classical counterpart, such as tunneling.
Keywords: A1 Journal article; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT)
Impact Factor: 2.243
Times cited: 7
DOI: 10.1016/j.physa.2011.08.030
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“Conductance of a copper-nanotube bundle interface: impact of interface geometry and wave-function interference”. Compemolle S, Pourtois G, Sorée B, Magnus W, Chibotaru LF, Ceulemans A, Physical review : B : condensed matter and materials physics 77, 193406 (2008). http://doi.org/10.1103/PhysRevB.77.193406
Keywords: A1 Journal article; Condensed Matter Theory (CMT); Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 3.836
Times cited: 8
DOI: 10.1103/PhysRevB.77.193406
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“Control and readout of current-induced magnetic flux quantization in a superconducting transformer”. Kerner C, Hackens B, Golubović, DS, Poli S, Faniel S, Magnus W, Schoenmaker W, Bayot V, Maes H, Superconductor science and technology 22, 025001 (2009). http://doi.org/10.1088/0953-2048/22/2/025001
Abstract: We demonstrate a simple and robust method for inducing and detecting changes of magnetic flux quantization in the absence of an externally applied magnetic field. In our device, an isolated ring is interconnected with two access loops via permalloy cores, forming a superconducting transformer. By applying and tuning a direct current at the first access loop, the number of flux quanta trapped in the isolated ring is modified without the aid of an external field. The flux state of the isolated ring is simply detected by recording the evolution of the critical current of the second access loop.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.878
Times cited: 2
DOI: 10.1088/0953-2048/22/2/025001
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“Dielectric mismatch effect on coupled impurity states in a freestanding nanowire”. Li B, Partoens B, Peeters FM, Magnus W, Microelectronics journal 40, 446 (2009). http://doi.org/10.1016/j.mejo.2008.06.028
Abstract: We studied the coupled impurity states in a freestanding semiconductor nanowire (NW), within the effective mass approximation and including the effect of the dielectric mismatch, by using finite element method. Bonding and anti-bonding states are found and their energies converge with increasing distance di between the two impurities. The dependence of the binding energy on the wire radius R and the distance di between the two impurities is investigated, and we compare it with the result of a freestanding NW that contains a single impurity.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.163
Times cited: 4
DOI: 10.1016/j.mejo.2008.06.028
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“Dielectric mismatch effect on coupled shallow impurity states in a semiconductor nanowire”. Li B, Partoens B, Peeters FM, Magnus W, Physical review : B : solid state 79, 085306 (2009). http://doi.org/10.1103/PhysRevB.79.085306
Abstract: Coupled shallow impurity states in a freestanding semiconductor nanowire and in a semiconductor nanowire surrounded by a metallic gate are studied within the effective-mass approximation. Bonding and antibonding states are found due to the coupling of the two impurities, and their energy converges with increasing distance di between the two impurities. The dependences of the binding energy on the wire radius R, the distance di between the two impurities, and the impurity radial position in the nanowire are examined.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 11
DOI: 10.1103/PhysRevB.79.085306
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“Dielectric mismatch effect on shallow impurity states in a semiconductor nanowire”. Li B, Slachmuylders AF, Partoens B, Magnus W, Peeters FM, Physical review : B : condensed matter and materials physics 77, 115335 (2008). http://doi.org/10.1103/PhysRevB.77.115335
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 24
DOI: 10.1103/PhysRevB.77.115335
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“Dielectric mismatch effect on the exciton states in cylindrical nanowires”. Slachmuylders AF, Partoens B, Magnus W, Peeters FM, Physical review : B : condensed matter and materials physics 74, 235321 (2006). http://doi.org/10.1103/PhysRevB.74.235321
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 39
DOI: 10.1103/PhysRevB.74.235321
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“Distribution of fields and charge carriers in cylindrical nanosize silicon-based metal-oxide-semiconductor structures”. Pokatilov EP, Fomin VM, Balaban SN, Gladilin VN, Klimin SN, Devreese JT, Magnus W, Schoenmaker W, Collaert N, van Rossum M, de Meyer K, Journal Of Applied Physics 85, 6625 (1999). http://doi.org/10.1063/1.370171
Keywords: A1 Journal article; Electron Microscopy for Materials Science (EMAT);
Impact Factor: 2.068
Times cited: 16
DOI: 10.1063/1.370171
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“Effect of a metallic gate on the energy levels of a shallow donor”. Slachmuylders AF, Partoens B, Peeters FM, Magnus W, Applied physics letters 92, 083104 (2008). http://doi.org/10.1063/1.2888742
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.411
Times cited: 14
DOI: 10.1063/1.2888742
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“The effect of dielectric mismatch on excitons and trions in cylindrical semiconductor nanowires”. Slachmuylders A, Partoens B, Magnus W, Peeters FM, Journal of computational electronics (2008). http://doi.org/10.1007/s10825-008-0216-4
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.526
Times cited: 2
DOI: 10.1007/s10825-008-0216-4
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“The effect of the dielectric mismatch on excitons and trions in freestanding nanowires”. Slachmuylders AF, Partoens B, Magnus W, Peeters FM, Physica. E: Low-dimensional systems and nanostructures 40, 2166 (2008). http://doi.org/10.1016/j.physe.2007.10.091
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.221
Times cited: 3
DOI: 10.1016/j.physe.2007.10.091
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“Exciton states in cylindrical nanowires”. Slachmuylders AF, Partoens B, Magnus W, Peeters FM, Journal of physics : condensed matter 18, 3951 (2006). http://doi.org/10.1088/0953-8984/18/16/005
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.649
Times cited: 27
DOI: 10.1088/0953-8984/18/16/005
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“Excitons and trions in cylindrical nanowires with dielectric mismatch”. Slachmuylders AF, Partoens B, Magnus W, Peeters FM, Physica status solidi: C: conferences and critical reviews 5, 2416 (2008). http://doi.org/10.1002/pssc.200777650
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Times cited: 3
DOI: 10.1002/pssc.200777650
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“Figure of merit for and identification of sub-60 mV/decade devices”. Vandenberghe WG, Verhulst AS, Sorée B, Magnus W, Groeseneken G, Smets Q, Heyns M, Fischetti MV, Applied physics letters 102, 013510 (2013). http://doi.org/10.1063/1.4773521
Abstract: A figure of merit I60 is proposed for sub-60 mV/decade devices as the highest current where the input characteristics exhibit a transition from sub- to super-60 mV/decade behavior. For sub-60 mV/decade devices to be competitive with metal-oxide-semiconductor field-effect devices, I60 has to be in the 1-10 μA/μm range. The best experimental tunnel field-effect transistors (TFETs) in the literature only have an I60 of 6×10-3 μA/μm but using theoretical simulations, we show that an I60 of up to 10 μA/μm should be attainable. It is proven that the Schottky barrier FET (SBFET) has a 60 mV/decade subthreshold swing limit while combining a SBFET and a TFET does improve performance.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.411
Times cited: 64
DOI: 10.1063/1.4773521
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“First-principle calculations on gate/dielectric interfaces : on the origin of work function shifts”. Pourtois G, Lauwers A, Kittl J, Pantisano L, Sorée B, De Gendt S, Magnus W, Heyns A, Maex K, Microelectronic engineering 80, 272 (2005). http://doi.org/10.1016/j.mee.2005.04.080
Abstract: The impact of interfacial chemistry occurring at dielectric/gate interface of P-MOS and N-MOS devices is reviewed through a quick literature survey. A specific emphasis is put on the way the bond polarization that occurs between a dielectric and a metal substrate impacts on the gate work function. First-principle simulations are then used to study the work function changes induced by dopant aggregation in nickel monosilicide metal gates. It is shown that the changes are a natural consequence of the variation of the interface polarization.
Keywords: A1 Journal article; Engineering sciences. Technology; Condensed Matter Theory (CMT); Plasma Lab for Applications in Sustainability and Medicine – Antwerp (PLASMANT)
Impact Factor: 1.806
Times cited: 31
DOI: 10.1016/j.mee.2005.04.080
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“General 2D Schrödinger-Poisson solver with open boundary conditions for nano-scale CMOS transistors”. Pourghaderi MA, Magnus W, Sorée B, de Meyer K, Meuris M, Heyns M, Journal of computational electronics 7, 475 (2008). http://doi.org/10.1007/s10825-008-0257-8
Abstract: Employing the quantum transmitting boundary (QTB) method, we have developed a two-dimensional Schrödinger-Poisson solver in order to investigate quantum transport in nano-scale CMOS transistors subjected to open boundary conditions. In this paper we briefly describe the building blocks of the solver that was originally written to model silicon devices. Next, we explain how to extend the code to semiconducting materials such as germanium, having conduction bands with energy ellipsoids that are neither parallel nor perpendicular to the channel interfaces or even to each other. The latter introduces mixed derivatives in the 2D effective mass equation, thereby heavily complicating the implementation of open boundary conditions. We present a generalized quantum transmitting boundary method that mainly leans on the completeness of the eigenstates of the effective mass equation. Finally, we propose a new algorithm to calculate the chemical potentials of the source and drain reservoirs, taking into account their mutual interaction at high drain voltages. As an illustration, we present the potential and carrier density profiles obtained for a (111) Ge NMOS transistor as well as the ballistic current characteristics.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.526
Times cited: 3
DOI: 10.1007/s10825-008-0257-8
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“Generalized phonon-assisted Zener tunneling in indirect semiconductors with non-uniform electric fields : a rigorous approach”. Vandenberghe W, Sorée B, Magnus W, Fischetti MV, Journal of applied physics 109, 124503 (2011). http://doi.org/10.1063/1.3595672
Abstract: A general framework to calculate the Zener current in an indirect semiconductor with an externally applied potential is provided. Assuming a parabolic valence and conduction band dispersion, the semiconductor is in equilibrium in the presence of the external field as long as the electron-phonon interaction is absent. The linear response to the electron-phonon interaction results in a non-equilibrium system. The Zener tunneling current is calculated from the number of electrons making the transition from valence to conduction band per unit time. A convenient expression based on the single particle spectral functions is provided, enabling the evaluation of the Zener tunneling current under any three-dimensional potential profile. For a one-dimensional potential profile an analytical expression is obtained for the current in a bulk semiconductor, a semiconductor under uniform field, and a semiconductor under a non-uniform field using the WKB (Wentzel-Kramers-Brillouin) approximation. The obtained results agree with the Kane result in the low field limit. A numerical example for abrupt p-n diodes with different doping concentrations is given, from which it can be seen that the uniform field model is a better approximation than the WKB model, but a direct numerical treatment is required for low bias conditions.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.068
Times cited: 41
DOI: 10.1063/1.3595672
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“Impact of field-induced quantum confinement in tunneling field-effect devices”. Vandenberghe WG, Sorée B, Magnus W, Groeseneken G, Fischetti MV, Applied physics letters 98, 143503 (2011). http://doi.org/10.1063/1.3573812
Abstract: Being the working principle of a tunnel field-effect transistor, band-to-band tunneling is given a rigorous quantum mechanical treatment to incorporate confinement effects, multiple electron and hole valleys, and interactions with phonons. The model reveals that the strong band bending near the gate dielectric, required to create short tunnel paths, results in quantization of the energy bands. Comparison with semiclassical models reveals a big shift in the onset of tunneling. The effective mass difference of the distinct valleys is found to reduce the subthreshold swing steepness.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.411
Times cited: 76
DOI: 10.1063/1.3573812
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“The junctionless nanowire transistor”. Sorée B, Pham A-T, Sels D, Magnus W Pan Stanford, S.l., page ? (2011).
Keywords: H3 Book chapter; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT)
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“Low-field mobility in ultrathin silicon nanowire junctionless transistors”. Sorée B, Magnus W, Vandenberghe W, Applied physics letters 99, 233509 (2011). http://doi.org/10.1063/1.3669509
Abstract: We theoretically investigate the phonon, surface roughness and ionized impurity limited low-field mobility of ultrathin silicon n-type nanowire junctionless transistors in the long channel approximation with wire radii ranging from 2 to 5 nm, as function of gate voltage. We show that surface roughness scattering is negligible as long as the wire radius is not too small and ionized impurity scattering is the dominant scattering mechanism. We also show that there exists an optimal radius where the ionized impurity limited mobility exhibits a maximum.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.411
Times cited: 20
DOI: 10.1063/1.3669509
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“A method to calculate tunneling leakage currents in silicon inversion layers”. Lujan GS, Sorée B, Magnus W, de Meyer K, Journal of applied physics 100, 033708 (2006). http://doi.org/10.1063/1.2219343
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.068
Times cited: 1
DOI: 10.1063/1.2219343
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“A model determining optimal doping concentration and material's band gap of tunnel field-effect transistors”. Vandenberghe WG, Verhulst AS, Kao K-H, De Meyer K, Sorée B, Magnus W, Groeseneken G, Applied physics letters 100, 193509 (2012). http://doi.org/10.1063/1.4714544
Abstract: We develop a model for the tunnel field-effect transistor (TFET) based on the Wentzel-Kramer-Brillouin approximation which improves over existing semi-classical models employing generation rates. We hereby introduce the concept of a characteristic tunneling length in direct semiconductors. Based on the model, we show that a limited density of states results in an optimal doping concentration as well as an optimal material's band gap to obtain the highest TFET on-current at a given supply voltage. The observed optimal-doping trend is confirmed by 2-dimensional quantum-mechanical simulations for silicon and germanium. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4714544]
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.411
Times cited: 25
DOI: 10.1063/1.4714544
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“Modeling drive currents and leakage currents : a dynamic approach”. Magnus W, Brosens F, Sorée B, Journal of computational electronics 8, 307 (2009). http://doi.org/10.1007/s10825-009-0296-9
Abstract: The dynamics of electrons and holes propagating through the nano-scaled channels of modern semiconductor devices can be seen as a widespread manifestation of non-equilibrium statistical physics and its ruling principles. In this respect both the devices that are pushing conventional CMOS technology towards the final frontiers of Moores law and the upcoming set of alternative, novel nanostructures grounded on entirely new concepts and working principles, provide an almost unlimited playground for assessing physical models and numerical techniques emerging from classical and quantum mechanical non-equilibrium theory. In this paper we revisit the Boltzmann as well as the WignerBoltzmann equation which offers a valuable platform to study transport of charge carriers taking part in drive currents. We focus on a numerical procedure that regained attention recently as an alternative tool to solve the time-dependent Boltzmann equation for inhomogeneous systems, such as the channel regions of field-effect transistors, and we discuss its extension to the WignerBoltzmann equation. Furthermore, we pay attention to the calculation of tunneling leakage currents. The latter typically occurs in nano-scaled transistors when part of the carrier distribution sustaining the drive current is found to tunnel into the gate due the presence of an ultra-thin insulating barrier separating the gate from the channel region. In particular, we discuss the paradox related to the very existence of leakage currents established by electrons occupying quasi-bound states, while the (real) wave functions of the latter cannot carry net currents. Finally, we describe a simple model to resolve the paradox as well as to estimate gate currents provided the local carrier generation rates largely exceed the tunneling rates.
Keywords: A1 Journal article; Condensed Matter Theory (CMT); Theory of quantum systems and complex systems
Impact Factor: 1.526
Times cited: 4
DOI: 10.1007/s10825-009-0296-9
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“Moore's law: new playground for quantum physics”. van Rossum M, Schoenmaker W, Magnus W, de Meyer K, Croitoru MD, Gladilin VN, Fomin VM, Devreese JT, Physica status solidi: B: basic research 237, 426 (2003). http://doi.org/10.1002/pssb.200301788
Keywords: A1 Journal article; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT); Electron microscopy for materials research (EMAT)
Impact Factor: 1.674
Times cited: 2
DOI: 10.1002/pssb.200301788
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“Neutral shallow donors near a metallic interface”. Slachmuylders AF, Partoens B, Magnus W, Peeters FM, Microelectronics journal 40, 753 (2009). http://doi.org/10.1016/j.mejo.2008.11.010
Abstract: The effect of a metallic gate on the bound states of a shallow donor located near the gate is studied. We calculate the energy spectrum as a function of the distance between the metallic gate and the donor and find an anti-crossing behavior in the energy levels for certain distances. We show how a transverse electric field can tune the average position of the electron with respect to the metallic gate and the impurity.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.163
Times cited: 1
DOI: 10.1016/j.mejo.2008.11.010
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