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“Ground-state energy of confined bosons in two dimensions”. Gonzalez A, Partoens B, Matulis A, Peeters FM, Physical review : B : condensed matter and materials physics 59, 1653 (1999). http://doi.org/10.1103/PhysRevB.59.1653
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 13
DOI: 10.1103/PhysRevB.59.1653
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“Growth mode and electronic-structure of the epitaxial C60(111)/GeS(001) interface”. Gensterblum G, Hevesi K, Han BY, Yu LM, Pireaux JJ, Thiry PA, Caudano R, Lucas AA, Bernaerts D, Amelinckx S, Van Tendeloo G, Bendele G, Buslaps T, Johnson RL, Foss M, Feidenhans’l R, Le Lay G;, Physical review : B : condensed matter and materials physics 50, 11981 (1994). http://doi.org/10.1103/PhysRevB.50.11981
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Impact Factor: 3.736
Times cited: 81
DOI: 10.1103/PhysRevB.50.11981
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“The Hall effect of an inhomogeneous magnetic field in mesoscopic structures”. Li XQ, Peeters FM, Geim AK, Journal of physics : condensed matter 9, 8065 (1997)
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.649
Times cited: 8
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“Hamiltonian of a many-electron system with single-electron and electron-pair states in a two-dimensional periodic potential”. Hai G-Q, Peeters FM, European physical journal : B : condensed matter and complex systems 88, 20 (2015). http://doi.org/10.1140/epjb/e2014-50686-x
Abstract: Based on the metastable electron-pair energy band in a two-dimensional (2D) periodic potential obtained previously by Hai and Castelano [J. Phys.: Condens. Matter 26, 115502 (2014)], we present in this work a Hamiltonian of many electrons consisting of single electrons and electron pairs in the 2D system. The electron-pair states are metastable of energies higher than those of the single-electron states at low electron density. We assume two different scenarios for the single-electron band. When it is considered as the lowest conduction band of a crystal, we compare the obtained Hamiltonian with the phenomenological model Hamiltonian of a boson-fermion mixture proposed by Friedberg and Lee [Phys. Rev. B 40, 6745 (1989)]. Single-electron-electron-pair and electron-pair-electron-pair interaction terms appear in our Hamiltonian and the interaction potentials can be determined from the electron-electron Coulomb interactions. When we consider the single-electron band as the highest valence band of a crystal, we show that holes in this valence band are important for stabilization of the electron-pair states in the system.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.461
Times cited: 2
DOI: 10.1140/epjb/e2014-50686-x
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“Heating of quasiparticles driven by oscillations of the order parameter in short superconducting microbridges”. Vodolazov DY, Peeters FM, Physical review : B : condensed matter and materials physics 83, 224523 (2011). http://doi.org/10.1103/PhysRevB.83.224523
Abstract: We predict heating of quasiparticles driven by order parameter oscillations in the resistive state of short superconducting microbridges. The finite relaxation time of the magnitude of the order parameter |Δ| and the dependence of the spectral functions both on |Δ| and the supervelocity Q are the origin of this effect. Our results are opposite to those of Aslamazov and Larkin [ Zh. Eks. Teor. Fiz. 70 1340 (1976)] and Schmid et al. [ Phys. Rev. B 21 5076 (1980)] where cooling of quasiparticles was found.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 4
DOI: 10.1103/PhysRevB.83.224523
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“Helical liquid of snake states”. Shakouri K, Badalyan SM, Peeters FM, Physical review : B : condensed matter and materials physics 88, 195404 (2013). http://doi.org/10.1103/PhysRevB.88.195404
Abstract: We derive an exact solution to the problem of spin snake states induced in a nonhomogeneous magnetic field by a combined action of the Rashba spin-orbit and Zeeman fields. The electron spin behavior as a function of the cyclotron orbit center position and an external homogeneous magnetic field was obtained. It is shown that in an antisymmetric magnetic field the electron spin in the snake states has only an in-plane projection, perpendicular to the magnetic interface, which vanishes at large positive momenta. Applying an external homogeneous magnetic field adds a finite out-of-plane spin component and simultaneously gaps out the spectral branches, which results in regular beating patterns of the spin current components.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 3
DOI: 10.1103/PhysRevB.88.195404
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“Hexagonal A1N : dimensional-crossover-driven band-gap transition”. Bacaksiz C, Sahin H, Ozaydin HD, Horzum S, Senger RT, Peeters FM, Physical review : B : condensed matter and materials physics 91, 085430 (2015). http://doi.org/10.1103/PhysRevB.91.085430
Abstract: Motivated by a recent experiment that reported the successful synthesis of hexagonal (h) AlN [Tsipas et al., Appl. Phys. Lett. 103, 251605 (2013)], we investigate structural, electronic, and vibrational properties of bulk, bilayer, and monolayer structures of h-AlN by using first-principles calculations. We show that the hexagonal phase of the bulk h-AlN is a stable direct-band-gap semiconductor. The calculated phonon spectrum displays a rigid-layer shear mode at 274 cm(-1) and an E-g mode at 703 cm(-1), which are observable by Raman measurements. In addition, single-layer h-AlN is an indirect-band-gap semiconductor with a nonmagnetic ground state. For the bilayer structure, AA'-type stacking is found to be the most favorable one, and interlayer interaction is strong. While N-layered h-AlN is an indirect-band-gap semiconductor for N = 1 – 9, we predict that thicker structures (N >= 10) have a direct band gap at the Gamma point. The number-of-layer-dependent band-gap transitions in h-AlN is interesting in that it is significantly different from the indirect-to-direct crossover obtained in the transition-metal dichalcogenides.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 99
DOI: 10.1103/PhysRevB.91.085430
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“High-capacity hydrogen storage in Al-adsorbed graphene”. Ao ZM, Peeters FM, Physical review : B : condensed matter and materials physics 81, 205406 (2010). http://doi.org/10.1103/PhysRevB.81.205406
Abstract: A high-capacity hydrogen storage mediumAl-adsorbed grapheneis proposed based on density-functional theory calculations. We find that a graphene layer with Al adsorbed on both sides can store hydrogen up to 13.79 wt % with average adsorption energy −0.193 eV/H2. Its hydrogen storage capacity is in excess of 6 wt %, surpassing U. S. Department of Energy (DOEs) target. Based on the binding-energy criterion and molecular-dynamics calculations, we find that hydrogen storage can be recycled at near ambient conditions. This high-capacity hydrogen storage is due to the adsorbed Al atoms that act as bridges to link the electron clouds of the H2 molecules and the graphene layer. As a consequence, a two-layer arrangement of H2 molecules is formed on each side of the Al-adsorbed graphene layer. The H2 concentration in the hydrogen storage medium can be measured by the change in the conductivity of the graphene layer.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 219
DOI: 10.1103/PhysRevB.81.205406
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“High energy transitions of shallow magneto-donors in a GaAs/Al0.3Ga0.7As multiple quantum well”. Bruno-Alfonso A, Hai G-Q, Peeters FM, Yeo T, Ryu SR, McCombe BD, Journal of physics : condensed matter 13, 9761 (2001). http://doi.org/10.1088/0953-8984/13/43/307
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.649
Times cited: 7
DOI: 10.1088/0953-8984/13/43/307
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“High-field cyclotron resonance and electron-phonon interaction in modulation-doped multiple quantum well structures”. Wang YJ, Jiang ZX, McCombe BD, Peeters FM, Wu XG, Hai GQ, Eusfis TJ, Schaff W, Physica: B : condensed matter 256/258, 215 (1998). http://doi.org/10.1016/S0921-4526(98)00572-9
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.386
Times cited: 5
DOI: 10.1016/S0921-4526(98)00572-9
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“High-field magneto-resistance in GaAs-GaAlAs heterojunctions”. Leadley DR, Nicholas RJ, Xu W, Peeters FM, Devreese JT, Foxon CT, Harris JJ, Physica: B : condensed matter 184, 197 (1993). http://doi.org/10.1016/0921-4526(93)90348-A
Keywords: A1 Journal article; Condensed Matter Theory (CMT); Theory of quantum systems and complex systems
Impact Factor: 1.319
Times cited: 4
DOI: 10.1016/0921-4526(93)90348-A
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“High-field magnetoexcitons in unstrained GaAs/AlxGa1-xAs quantum dots”. Sidor Y, Partoens B, Peeters FM, Schildermans N, Hayne M, Moshchalkov VV, Rastelli A, Schmidt OG, Physical review : B : condensed matter and materials physics 73, 155334 (2006). http://doi.org/10.1103/PhysRevB.73.155334
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 50
DOI: 10.1103/PhysRevB.73.155334
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“High-field magnetoresistance in GaAs/Ga0.7Al0.3As heterojunctions arising from elastic and inelastic scattering”. Leadley DR, Nicholas RJ, Xu W, Peeters FM, Devreese JT, Singleton J, Perenboom JA, van Bockstal L, Herlach F, Foxon CT, Harris JJ, Physical review : B : condensed matter and materials physics 48, 5457 (1993). http://doi.org/10.1103/PhysRevB.48.5457
Keywords: A1 Journal article; Condensed Matter Theory (CMT); Theory of quantum systems and complex systems
Impact Factor: 3.736
Times cited: 22
DOI: 10.1103/PhysRevB.48.5457
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“High field transport in high carrier density GaAs/Ga0.8In0.2As/Ga0.75Al0.25As heterostructures”. van der Burgt M, van Esch A, Peeters FM, van Hove M, Borghs G, Herlach F, Physica: B : condensed matter 184, 211 (1993). http://doi.org/10.1016/0921-4526(93)90351-6
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 1.319
Times cited: 4
DOI: 10.1016/0921-4526(93)90351-6
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“High-resolution electron microscopy of structural defects in crystalline C60 and C70”. Muto S, Van Tendeloo G, Amelinckx S, Philosophical magazine: B: physics of condensed matter: electronic, optical and magnetic properties 67, 443 (1993). http://doi.org/10.1080/13642819308207685
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Times cited: 31
DOI: 10.1080/13642819308207685
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“High-resolution electron microscopy study of strained epitaxial La0.7Sr0.3MnO3 thin films”. Lebedev OI, Van Tendeloo G, Amelinckx S, Ju HL, Krishnan KM, Philosophical magazine: A: physics of condensed matter: defects and mechanical properties 80, 673 (2000). http://doi.org/10.1080/01418610008212075
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Times cited: 52
DOI: 10.1080/01418610008212075
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“High-temperature conductance of a two-dimensional superlattice controlled by spin-orbit interaction”. Földi P, Szaszkó-Bogár V, Peeters FM, Physical review : B : condensed matter and materials physics 83, 115313 (2011). http://doi.org/10.1103/PhysRevB.83.115313
Abstract: Rashba-type spin-orbit interaction (SOI) controlled band structure of a two-dimensional superlattice allows for the modulation of the conductance of finite size devices by changing the strength of the SOI. We consider rectangular arrays and find that the temperature dependence of the conductance disappears for high temperatures, but the strength of the SOI still affects the conductance at these temperatures. The modulation effect can be seen even in the presence of strong dephasing, which can be important for practical applications.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 8
DOI: 10.1103/PhysRevB.83.115313
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“Hole and exciton energy levels in InP/InxGa1-xP quantum dot molecules: influence of geometry and magnetic field dependence”. Mlinar V, Tadić, M, Peeters FM, Physical review : B : condensed matter and materials physics 73, 235336 (2006). http://doi.org/10.1103/PhysRevB.73.235336
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 16
DOI: 10.1103/PhysRevB.73.235336
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“Hole states in nanocups in a magnetic field”. Čukarić, N, Arsoski V, Tadić, M, Peeters FM, Physical review : B : condensed matter and materials physics 85, 235425 (2012). http://doi.org/10.1103/PhysRevB.85.235425
Abstract: The magnetic-field dependence of the hole states in a nanocup, which is composed of a ring (the nanocup rim) that surrounds a disk (the nanocup bottom), is obtained within the Luttinger-Kohn model for the unstrained GaAs/(Al,Ga) As and the strained (In,Ga) As/GaAs systems. Aharonov-Bohm oscillations due to angular momentum transitions of the hole ground state appear with periods that vary with the thickness of the disk. The strain in the (In, Ga) As/GaAs nanocup is sensitive to the disk thickness and favors the spatial localization of the heavy holes inside the disk. Therefore, the angular momentum transitions between the valence-band states disappear for much thinner disks than in the case of the unstrained GaAs/(Al, Ga) As nanocups. In both systems, the oscillations in the energy of the hole ground state are found to disappear for thinner inner layer than in the electron ground-state energy. This is due to the different confining potentials and the mixing between the heavy- and light-hole states. As a consequence, magnetization of the single hole is found to strongly depend on the bottom thickness of the strained (In, Ga) As/GaAs nanocup. Furthermore, we found that the strain can lead to a spatial separation of the electron and the hole, as in type-II band alignment, which is advantageous for the appearance of the excitonic Aharonov-Bohm effect.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 4
DOI: 10.1103/PhysRevB.85.235425
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“Hole subbands and effective masses in p-doped [113]-grown heterojunctions”. Goldoni G, Peeters FM, Physical review : B : condensed matter and materials physics 51, 17806 (1995). http://doi.org/10.1103/PhysRevB.51.17806
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.736
Times cited: 14
DOI: 10.1103/PhysRevB.51.17806
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“Hole subbands in freestanding nanowires : six-band versus eight-band k.p modelling”. Kishore VVR, Čukarić, N, Partoens B, Tadić, M, Peeters FM, Journal of physics : condensed matter 24, 135302 (2012). http://doi.org/10.1088/0953-8984/24/13/135302
Abstract: The electronic structure of GaAs, InAs and InSb nanowires is studied using the six-band and the eight-band k.p models. The effect of the different Luttinger-like parameters (in the eight-band model) on the hole band structure is investigated. Although GaAs nanostructures are often treated within a six-band model because of the large bandgap, it is shown that an eight-band model is necessary for a correct description of its hole spectrum. The camel-back structure usually found in the six-band model is not always present in the eight-band model. This camel-back structure depends on the interaction between light and heavy holes, especially the ones with opposite spin. The latter effect is less pronounced in an eight-band model, but could be very sensitive to the Kane inter-band energy (E-P) value.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.649
Times cited: 13
DOI: 10.1088/0953-8984/24/13/135302
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“Hollow nanocylinder: multisubband superconductivity induced by quantum confinement”. Chen Y, Shanenko AA, Peeters FM, Physical review : B : condensed matter and materials physics 81, 134523 (2010). http://doi.org/10.1103/PhysRevB.81.134523
Abstract: Quantization of the transverse electron motion in high-quality superconducting metallic nanowires and nanofilms results in the formation of well-distinguished single-electron subbands. They shift in energy with changing thickness, which is known to cause quantum-size superconducting oscillations. The formation of multiple subbands results in a multigap structure induced by the interplay between quantum confinement and Andreev mechanism. We investigate multisubband superconductivity in a hollow nanocylinder by numerically solving the Bogoliubov-de Gennes equations. When changing the inner radius and thickness of the hollow nanocylinder, we find a crossover from an irregular pattern of quantum-size superconducting oscillations, typical of nanowires, to an almost regular regime, specific for superconducting nanofilms. At this crossover the multigap structure becomes degenerate. The ratio of the critical temperature to the energy gap increases and approaches its bulk value while being reduced by 20-30% due to Andreev-type states driven by quantum confinement in the irregular regime.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 21
DOI: 10.1103/PhysRevB.81.134523
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“Homologous series of layered structures in binary and ternary Bi-Sb-Te-Se systems : ab initio study”. Govaerts K, Sluiter MHF, Partoens B, Lamoen D, Physical review : B : condensed matter and materials physics 89, 054106 (2014). http://doi.org/10.1103/PhysRevB.89.054106
Abstract: In order to account explicitly for the existence of long-periodic layered structures and the strong structural relaxations in the most common binary and ternary alloys of the Bi-Sb-Te-Se system, we have developed a one-dimensional cluster expansion (CE) based on first-principles electronic structure calculations, which accounts for the Bi and Sb bilayer formation. Excellent interlayer distances are obtained with a van der Waals density functional. It is shown that a CE solely based on pair interactions is sufficient to provide an accurate description of the ground-state energies of Bi-Sb-Te-Se binary and ternary systems without making the data set of ab initio calculated structures unreasonably large. For the binary alloys A1−xQx (A=Sb, Bi; Q=Te, Se), a ternary CE yields an almost continuous series of (meta)stable structures consisting of consecutive A bilayers next to consecutive A2Q3 for 0<x<0.6. For x>0.6, the binary alloy segregates into pure Q and A2Q3. The Bi-Sb system is described by a quaternary CE and is found to be an ideal solid solution stabilized by entropic effects at T≠0 K but with an ordered structure of alternating Bi and Sb layers for x=0.5 at T=0 K. A quintuple CE is used for the ternary Bi-Sb-Te system, where stable ternary layered compounds with an arbitrary stacking of Sb2Te3, Bi2Te3, and Te-Bi-Te-Sb-Te quintuple units are found, optionally separated by mixed Bi/Sb bilayers. Electronic properties of the stable compounds were studied taking spin-orbit coupling into account.
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT); Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 5
DOI: 10.1103/PhysRevB.89.054106
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“The hot electron distribution of two-dimensional electrons in a polar semiconductor at zero temperature”. Xu W, Peeters FM, Devreese JT, Journal of physics: C: condensed matter 3, 1783 (1991)
Keywords: A3 Journal article; Condensed Matter Theory (CMT); Theory of quantum systems and complex systems
Times cited: 1
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“Hydrogenated cation vacancies in semiconducting oxides”. Varley JB, Peelaers H, Janotti A, van de Walle CG, Journal of physics : condensed matter 23, 334212 (2011). http://doi.org/10.1088/0953-8984/23/33/334212
Abstract: Using first-principles calculations we have studied the electronic and structural properties of cation vacancies and their complexes with hydrogen impurities in SnO2, In2O3 and β-Ga2O3. We find that cation vacancies have high formation energies in SnO2 and In2O3 even in the most favorable conditions. Their formation energies are significantly lower in β-Ga2O3. Cation vacancies, which are compensating acceptors, strongly interact with H impurities resulting in complexes with low formation energies and large binding energies, stable up to temperatures over 730 °C. Our results indicate that hydrogen has beneficial effects on the conductivity of transparent conducting oxides: it increases the carrier concentration by acting as a donor in the form of isolated interstitials, and by passivating compensating acceptors such as cation vacancies; in addition, it potentially enhances carrier mobility by reducing the charge of negatively charged scattering centers. We have also computed vibrational frequencies associated with the isolated and complexed hydrogen, to aid in the microscopic identification of centers observed by vibrational spectroscopy.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 2.649
Times cited: 125
DOI: 10.1088/0953-8984/23/33/334212
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“Hydrothermal synthesis and characterization of nanorods of various titanates and titanium dioxide”. Kolen'ko YV, Kovnir KA, Gavrilov AI, Garshev AV, Frantti J, Lebedev OI, Churagulov BR, Van Tendeloo G, Yoshimura M, The journal of physical chemistry : B : condensed matter, materials, surfaces, interfaces and biophysical 110, 4030 (2006). http://doi.org/10.1021/jp055687u
Keywords: A1 Journal article; Electron microscopy for materials research (EMAT)
Impact Factor: 3.177
Times cited: 234
DOI: 10.1021/jp055687u
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“Impact of Dresselhaus versus Rashba spin-orbit coupling on the Holstein polaron”. Li Z, Covaci L, Marsiglio F, Physical review : B : condensed matter and materials physics 85, 205112 (2012). http://doi.org/10.1103/PhysRevB.85.205112
Abstract: We utilize an exact variational numerical procedure to calculate the ground-state properties of a polaron in the presence of Rashba and linear Dresselhaus spin-orbit coupling. We find that when the linear Dresselhaus spin-orbit coupling approaches the Rashba spin-orbit coupling, the Van Hove singularity in the density of states will be shifted away from the bottom of the band and finally disappear when the two spin-orbit couplings are tuned to be equal. The effective mass will be suppressed; the trend will become more significant for low phonon frequency. The presence of two dominant spin-orbit couplings will make it possible to tune the effective mass with more varied observables.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 18
DOI: 10.1103/PhysRevB.85.205112
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“Impact of spin-orbit coupling on the Holstein polaron”. Li Z, Covaci L, Berciu M, Baillie D, Marsiglio F, Physical review : B : condensed matter and materials physics 83, 195104 (2011). http://doi.org/10.1103/PhysRevB.83.195104
Abstract: We utilize an exact variational numerical procedure to calculate the ground state properties of a polaron in the presence of a Rashba-like spin-orbit interaction. Our results corroborate previous work performed with the momentum average approximation and with weak-coupling perturbation theory. We find that spin-orbit coupling increases the effective mass in the regime with weak electron-phonon coupling, and decreases the effective mass in the regimes of intermediate and strong electron-phonon coupling. Analytical strong-coupling perturbation theory results confirm our numerical results in the small-polaron regime. A large amount of spin-orbit coupling can lead to a significant lowering of the polaron effective mass.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 9
DOI: 10.1103/PhysRevB.83.195104
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“Impurity band and magnetic-field-induced metal-insulator transition in a doped GaAs/AlxGa1-xAs superlattice”. Hilber W, Helm M, Peeters FM, Alavi K, Pathak RN, Physical review : B : condensed matter and materials physics 53, 6919 (1996). http://doi.org/10.1103/PhysRevB.53.6919
Abstract: A combination of infrared spectroscopy and magnetotransport is used to investigate the impurity band and the magnetic-field-induced metal-insulator transition in n-type GaAs/AlxGa1-xAs superlattices. The dropping of the Fermi level from the conduction band into the impurity band upon increasing magnetic field is observed in a sample doped to n=4n(c), where n(c) is the critical density according to the Mott criterion. The metal-insulator transition takes place while the Fermi level is in the impurity band, with no qualitative change from the metallic to the insulating side. Due to the anisotropy of the superlattice band structure, the metal-insulator transition is shifted to higher magnetic field, when the magnetic field is tilted away from the growth axis towards the layer planes.
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.736
Times cited: 14
DOI: 10.1103/PhysRevB.53.6919
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“In-plane magnetic-field-induced Wigner crystallization in a two-electron quantum dot”. Szafran B, Peeters FM, Bednarek S, Adamowski J, Physical review : B : condensed matter and materials physics 70, 235335 (2004). http://doi.org/10.1103/PhysRevB.70.235335
Keywords: A1 Journal article; Condensed Matter Theory (CMT)
Impact Factor: 3.836
Times cited: 7
DOI: 10.1103/PhysRevB.70.235335
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