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Paul N, Crowley PJD, Devakul T, Fu L. Moiré Landau Fans and Magic Zeros. PHYSICAL REVIEW LETTERS 2022; 129:116804. [PMID: 36154430 DOI: 10.1103/physrevlett.129.116804] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/24/2022] [Accepted: 08/23/2022] [Indexed: 06/16/2023]
Abstract
We study the energy spectrum of moiré systems under a uniform magnetic field. The superlattice potential generally broadens Landau levels into Chern bands with finite bandwidth. However, we find that these Chern bands become flat at a discrete set of magnetic fields which we dub "magic zeros." The flat band subspace is generally different from the Landau level subspace in the absence of the moiré superlattice. By developing a semiclassical quantization method and taking account of superlattice induced Bragg reflection, we prove that magic zeros arise from the simultaneous quantization of two distinct k-space orbits. For instance, we show the chiral model of TBG has flat bands at special fields for any twist angle in the nth Landau level for |n|>1. The flat bands at magic zeros provide a new setting for exploring crystalline fractional quantum Hall physics.
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Affiliation(s)
- Nisarga Paul
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Philip J D Crowley
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Trithep Devakul
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Liang Fu
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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2
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Raichev OE. Nonlocality, Correlations, and Magnetotransport in a Spatially Modulated Two-Dimensional Electron Gas. PHYSICAL REVIEW LETTERS 2018; 120:146802. [PMID: 29694126 DOI: 10.1103/physrevlett.120.146802] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/10/2018] [Indexed: 06/08/2023]
Abstract
It is shown that the classical commensurability phenomena in weakly modulated two-dimensional electron systems is a manifestation of the intrinsic properties of the correlation functions describing a homogeneous electron gas in a magnetic field. The theory demonstrates the importance for consideration of nonlocal response and removes the gap between classical and quantum approaches to magnetotransport in such systems.
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Affiliation(s)
- O E Raichev
- Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, Prospekt Nauki 41, 03028 Kyiv, Ukraine
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3
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Biswas T, Kanti Ghosh T. Magnetotransport properties of the α-T 3 model. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2016; 28:495302. [PMID: 27736806 DOI: 10.1088/0953-8984/28/49/495302] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Using the well-known Kubo formula, we evaluate magnetotransport quantities, such as the collisional and Hall conductivities of the α-T 3 model. The collisional conductivity exhibits a series of peaks at a strong magnetic field. Each of the conductivity peaks for [Formula: see text] (graphene) splits into two in the presence of a finite α. This splitting occurs due to a finite phase difference between the contributions coming from the two valleys. The density of states is also calculated to explore the origin of the splitting of conductivity peaks. As α approaches 1, the right split part of a conductivity peak comes closer to the left split part of the next conductivity peak. At [Formula: see text], they merge with each other to produce a new series of the conductivity peaks. On the other hand, the Hall conductivity undergoes a smooth transition from [Formula: see text] to [Formula: see text] with n = 0,1,2,... as we tune α from 0-1. For intermediate α, we obtain the Hall plateaus at values 0,2,4,6,8,... in units of e 2/h.
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Affiliation(s)
- Tutul Biswas
- Department of Physics, Vivekananda Mahavidyalaya, Burdwan-713103, India
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Yar A, Sabeeh K. Radiation-assisted magnetotransport in two-dimensional electron gas systems: appearance of zero resistance states. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2015; 27:435007. [PMID: 26444638 DOI: 10.1088/0953-8984/27/43/435007] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Zero-resistance states (ZRS) are normally associated with superconducting and quantum Hall phases. Experimental detection of ZRS in two-dimensional electron gas (2DEG) systems irridiated by microwave(MW) radiation in a magnetic field has been quite a surprise. We develop a semiclassical transport formalism to explain the phenomena. We find a sequence of Zero-Resistance States (ZRS) inherited from the suppression of Shubnikov-de Haas (SdH) oscillations under the influence of high-frequency and large amplitude microwave radiation. Furthermore, the ZRS are well pronounced and persist up to broad intervals of magnetic field as observed in experiments on microwave illuminated 2DEG systems.
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Affiliation(s)
- Abdullah Yar
- Department of Physics, Kohat University of Science and Technology, Kohat-26000, Khyber Pakhtunkhwa, Pakistan
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5
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Erlingsson SI, Manolescu A, Marinescu DC. Asymmetric Landau bands due to spin-orbit coupling. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2015; 27:225303. [PMID: 25984760 DOI: 10.1088/0953-8984/27/22/225303] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We show that the Landau bands obtained in a two-dimensional lateral semiconductor superlattice with spin-orbit coupling (SOC) of the Rashba/Dresselhaus type, linear in the electron momentum, placed in a tilted magnetic field, do not follow the symmetry of the spatial modulation. Moreover, this phenomenology is found to depend on the relative tilt of magnetic field and on the SOC type: (a) when only Rashba SOC exists and the magnetic field is tilted in the direction of the superlattice (b) Dresselhaus SOC exists and the magnetic field is tilted in the direction perpendicular to the superlattice. Consequently, measurable properties of the modulated system become anisotropic in a tilted magnetic field when the field is conically rotated around the z axis, at a fixed polar angle, as we demonstrate by calculating the resistivity and the magnetization.
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Affiliation(s)
- Sigurdur I Erlingsson
- School of Science and Engineering, Reykjavik University, Menntavegur 1, IS-101 Reykjavik, Iceland
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6
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Islam SKF, Ghosh TK. Beating pattern in quantum magnetotransport coefficients of spin-orbit coupled Dirac fermions in gated silicene. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:335303. [PMID: 25080440 DOI: 10.1088/0953-8984/26/33/335303] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
We report a theoretical study of magnetotransport coefficients of spin-orbit coupled gated silicene in the presence and absence of spatial periodic modulation. The combined effect of spin-orbit coupling and perpendicular electric field manifests through the formation of a regular beating pattern in Weiss and SdH oscillations. Analytical results, in addition to the numerical results, of the beating pattern formation are provided. The analytical results yield a beating condition which will be useful to determine the spin-orbit coupling constant by simply counting the number of oscillation between any two successive nodes. Moreover, the numerical results of modulation effect on collisional and Hall conductivities are presented.
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Affiliation(s)
- S K Firoz Islam
- Department of Physics, Indian Institute of Technology-Kanpur, Kanpur-208016, India
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Islam SKF, Ghosh TK. Thermoelectric properties of an ultra-thin topological insulator. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:165303. [PMID: 24694878 DOI: 10.1088/0953-8984/26/16/165303] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Thermoelectric coefficients of an ultra-thin topological insulator are presented here. The hybridization between top and bottom surface states of a topological insulator plays a significant role. In the absence of a magnetic field, the thermopower increases and thermal conductivity decreases with an increase in the hybridization energy. In the presence of a magnetic field perpendicular to the ultra-thin topological insulator, thermoelectric coefficients exhibit quantum oscillations with inverse magnetic field, whose frequency is strongly modified by the Zeeman energy and whose phase factor is governed by the product of the Landé g-factor and the hybridization energy. In addition to the numerical results, the low-temperature approximate analytical results for the thermoelectric coefficients are also provided. It is also observed that for a given magnetic field these transport coefficients oscillate with hybridization energy, at a frequency that depends on the Landé g-factor.
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Affiliation(s)
- S K Firoz Islam
- Department of Physics, Indian Institute of Technology-Kanpur, Kanpur-208 016, India
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Firoz Islam SK, Ghosh TK. Magnetotransport properties of a magnetically modulated two-dimensional electron gas with the spin-orbit interaction. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:185303. [PMID: 22481295 DOI: 10.1088/0953-8984/24/18/185303] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We study the electrical transport properties of a two-dimensional electron gas (2DEG) with the Rashba spin-orbit interaction in the presence of a constant perpendicular magnetic field (B(0)( ̂z) which is weakly modulated by B1 = B1 cos(qx) ̂z, where B(1) ≪ B(0) and q = 2π/a with a the modulation period. We obtain the analytical expressions of the diffusive conductivities for spin-up and spin-down electrons. The conductivities for spin-up and spin-down electrons oscillate with different frequencies and produce beating patterns in the amplitude of the Weiss and Shubnikov-de Haas oscillations. We show that the Rashba strength can be determined by analyzing the beating pattern in the Weiss oscillation. We find a simple equation which determines the Rashba spin-orbit interaction strength if the number of Weiss oscillations between any two successive nodes is known from the experiment. We compare our results with the electrically modulated 2DEG with the Rashba interaction. For completeness, we also study the beating pattern formation in the collisional and the Hall conductivities.
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Affiliation(s)
- S K Firoz Islam
- Department of Physics, Indian Institute of Technology-Kanpur, Kanpur-208 016, India.
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Islam SKF, Ghosh TK. Zero-field spin splitting in a two-dimensional electron gas with the spin-orbit interaction revisited. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:035302. [PMID: 22179301 DOI: 10.1088/0953-8984/24/3/035302] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We consider a two-dimensional electron gas (2DEG) with the Rashba spin-orbit interaction (SOI) in the presence of a perpendicular magnetic field. We derive analytical expressions of the density of states (DOS) of a 2DEG with the Rashba SOI in the presence of a magnetic field by using the Green's function technique. The DOS allows us to obtain the analytical expressions of the magnetoconductivities for spin-up and spin-down electrons. The conductivities for spin-up and spin-down electrons oscillate with different frequencies and give rise to the beating patterns in the amplitude of the Shubnikov-de Haas (SdH) oscillations. We find a simple equation which determines the zero-field spin splitting energy if the magnetic field corresponding to any beat node is known from the experiment. Our analytical results reproduce well the experimentally observed non-periodic beating patterns, number of oscillations between two successive nodes and the measured zero-field spin splitting energy.
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Affiliation(s)
- S K Firoz Islam
- Department of Physics, Indian Institute of Technology-Kanpur, Kanpur, India
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Firoz Islam SK, Singh NK, Ghosh TK. Thermodynamic properties of a magnetically modulated graphene monolayer. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2011; 23:445502. [PMID: 22004991 DOI: 10.1088/0953-8984/23/44/445502] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
The effect of magnetic modulation on thermodynamic properties of a graphene monolayer in the presence of a constant perpendicular magnetic field is reported here. One-dimensional spatial electric or magnetic modulation lifts the degeneracy of the Landau levels and converts into bands and their bandwidth oscillates with magnetic field, leading to Weiss-type oscillations in the thermodynamic properties. The effect of magnetic modulation on the thermodynamic properties of a graphene sheet is studied and then compared with electrically modulated graphene and magnetically modulated conventional two-dimensional electron gas (2DEG). We observe Weiss-type and de Haas-van Alphen oscillations at low and high magnetic fields, respectively. There is a definite phase difference in Weiss-type oscillations in thermodynamic quantities of magnetically modulated graphene compared to electrically modulated graphene. On the other hand, the phase remains the same and the amplitude of the oscillation is large when compared with the magnetically modulated two-dimensional electron gas (2DEG). Explicit asymptotic expressions of the density of states and the Helmholtz free energy are provided to understand the phase and amplitude of the Weiss-type oscillations qualitatively. We also study thermodynamic properties when both electric and magnetic modulations are present. The Weiss-type oscillations still exist when the modulations are out-of-phase.
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Affiliation(s)
- S K Firoz Islam
- Department of Physics, Indian Institute of Technology-Kanpur, Kanpur 208 016, India
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11
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Nasir R, Sabeeh K. Magnetothermoelectric transport in modulated and unmodulated graphene. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2011; 23:375301. [PMID: 21881170 DOI: 10.1088/0953-8984/23/37/375301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We draw motivation from recent experimental studies and present a comprehensive study of magnetothermoelectric transport in a graphene monolayer within the linear response regime. We employ the modified Kubo formalism developed for thermal transport in a magnetic field. Thermopower as well as thermal conductivity as a function of the gate voltage of a graphene monolayer in the presence of a magnetic field perpendicular to the graphene plane is determined for low magnetic fields (∼1 T) as well as high fields (∼8 T). We include the effects of screened charged impurities on thermal transport. We find good qualitative and quantitative agreement with recent experimental work on the subject. In addition, in order to analyze the effects of modulation, which can be induced by various means, on the thermal transport in graphene, we evaluate the thermal transport coefficients for a graphene monolayer subjected to a periodic electric modulation in a magnetic field. The results are presented as a function of the magnetic field and the gate voltage.
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Affiliation(s)
- R Nasir
- Department of Physics, Quaid-i-Azam University, Islamabad, Pakistan
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12
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Tan YW, Stormer HL, Pfeiffer LN, West KW. High-frequency magneto-oscillations in GaAs/AlGaAs quantum wells. PHYSICAL REVIEW LETTERS 2007; 98:036804. [PMID: 17358711 DOI: 10.1103/physrevlett.98.036804] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/31/2006] [Indexed: 05/14/2023]
Abstract
We have observed very high-frequency, highly reproducible magneto-oscillations in modulation doped GaAs/AlGaAs quantum well structures. The oscillations are periodic in an inverse magnetic field (1/B) and their amplitude increases with temperature up to T approximately 700 mK. Being initially most pronounced around the filling factor nu=1/2, they move towards lower nu with increasing T. Front and back-gating data imply that these oscillations require a coupling to a parallel conducting layer. A comparison with existing oscillation models renders no explanation.
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Affiliation(s)
- Y-W Tan
- Department of Physics, Columbia University, New York, New York 10027, USA
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Robinson JP, Kennett MP, Cooper NR, Fal'ko VI. Surface acoustic-wave-induced magnetoresistance oscillations in a two-dimensional electron gas. PHYSICAL REVIEW LETTERS 2004; 93:036804. [PMID: 15323854 DOI: 10.1103/physrevlett.93.036804] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/24/2003] [Indexed: 05/24/2023]
Abstract
We study the geometrical commensurability oscillations imposed on the resistivity of 2D electrons in a perpendicular magnetic field by a propagating surface acoustic wave (SAW). We show that, for omega<omega(c), this effect contains an anisotropic dynamical classical contribution increasing the resistivity and a nonequilibrium quantum contribution isotropically decreasing the resistivity, and we predict zero-resistance states associated with geometrical commensurability at large SAW amplitude.
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Affiliation(s)
- John P Robinson
- Physics Department, Lancaster University, Lancaster LA1 4YB, United Kingdom
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Feil T, Deutschmann RA, Wegscheider W, Rother M, Schuh D, Bichler M, Abstreiter G, Rieder B, Keller J. Transport in weakly and strongly modulated two‐dimensional electron systems realized by Cleaved‐Edge‐Overgrowth. ACTA ACUST UNITED AC 2004. [DOI: 10.1002/pssc.200404768] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- T. Feil
- Institut für Experimentalphysik, Universität Regensburg, 93040 Regensburg, Germany
| | - R. A. Deutschmann
- Walter Schottky Institut, TU München, Am Coulombwall, 85748 Garching, Germany
| | - W. Wegscheider
- Institut für Experimentalphysik, Universität Regensburg, 93040 Regensburg, Germany
| | - M. Rother
- Walter Schottky Institut, TU München, Am Coulombwall, 85748 Garching, Germany
| | - D. Schuh
- Walter Schottky Institut, TU München, Am Coulombwall, 85748 Garching, Germany
| | - M. Bichler
- Walter Schottky Institut, TU München, Am Coulombwall, 85748 Garching, Germany
| | - G. Abstreiter
- Walter Schottky Institut, TU München, Am Coulombwall, 85748 Garching, Germany
| | - B. Rieder
- Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
| | - J. Keller
- Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
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Tornow M, Weiss D, Manolescu A, Menne R, Klitzing K, Weimann G. Even-odd filling-factor switching in one-dimensional lateral superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:16397-16400. [PMID: 9985753 DOI: 10.1103/physrevb.54.16397] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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16
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Gudmundsson V, Gerhardts RR. Effects of screening on the Hofstadter butterfly. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:16744-16752. [PMID: 9981079 DOI: 10.1103/physrevb.52.16744] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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17
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Xu H. Magnetoconductance oscillations in periodically modulated quasi-one-dimensional electron systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:16623-16626. [PMID: 9981064 DOI: 10.1103/physrevb.52.16623] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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18
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Stewart SM, Zhang C. Response function of a two-dimensional electron gas in a unidirectional periodic potential. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:17036-17039. [PMID: 9981124 DOI: 10.1103/physrevb.52.r17036] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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19
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Manolescu A. Density profile in a weakly modulated two-dimensional system in a magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:2831-2837. [PMID: 9981354 DOI: 10.1103/physrevb.52.2831] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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20
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Ishizaka S, Nihey F, Nakamura K, Sone J, Ando T. Quantum transport in antidot arrays in magnetic fields. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:9881-9890. [PMID: 9977661 DOI: 10.1103/physrevb.51.9881] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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21
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Vagov AV. Magnetoresistance of a two-dimensional electron gas in a square superlattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:5065-5071. [PMID: 9979382 DOI: 10.1103/physrevb.51.5065] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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22
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Manolescu A, Gerhardts RR. Exchange-enhanced spin splitting in a two-dimensional electron system with lateral modulation. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:1703-1713. [PMID: 9978890 DOI: 10.1103/physrevb.51.1703] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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23
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Toyoda T, Takahashi Y, Zhang C. Exact formula for nondiagonal Green's functions in condensed-matter physics. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:18640-18643. [PMID: 9976303 DOI: 10.1103/physrevb.50.18640] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Silberbauer H, Rössler U. Quantum study of magnetotransport in antidot superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:11911-11914. [PMID: 9975331 DOI: 10.1103/physrevb.50.11911] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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25
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Chang MC, Niu Q. Electron band structure in a two-dimensional periodic magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:10843-10850. [PMID: 9975185 DOI: 10.1103/physrevb.50.10843] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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26
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Davies JH, Larkin IA. Theory of potential modulation in lateral surface superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:4800-4809. [PMID: 10011409 DOI: 10.1103/physrevb.49.4800] [Citation(s) in RCA: 51] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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27
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Tan Y. Quantum magnetotransport of a periodically modulated two-dimensional electron gas. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:1827-1835. [PMID: 10010978 DOI: 10.1103/physrevb.49.1827] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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28
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Wulf U, MacDonald AH. Disorder broadening of the Hofstadter spectrum. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:6566-6572. [PMID: 10004624 DOI: 10.1103/physrevb.47.6566] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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29
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Wu X, Ulloa SE. Electronic states and collective excitations of a two-dimensional electron gas in a unidirectional magnetic-field modulation. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:7182-7186. [PMID: 10004715 DOI: 10.1103/physrevb.47.7182] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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30
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Wulf U, Kucera J, MacDonald AH. Giant oscillations in the Hall conductivity of weakly coupled quantum wires. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:1675-1678. [PMID: 10006195 DOI: 10.1103/physrevb.47.1675] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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31
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Peeters FM, Vasilopoulos P. Quantum transport of a two-dimensional electron gas in a spatially modulated magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:1466-1473. [PMID: 10006161 DOI: 10.1103/physrevb.47.1466] [Citation(s) in RCA: 83] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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32
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Gerhardts RR. Quasiclassical calculation of magnetoresistance oscillations of a two-dimensional electron gas in an anharmonic lateral superlattice potential. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:3449-3454. [PMID: 10001919 DOI: 10.1103/physrevb.45.3449] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zhang C, Gumbs G, Huang D. Theory of the Raman-scattering intensity and line shape of a quantum-dot superlattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:10744-10748. [PMID: 9999100 DOI: 10.1103/physrevb.44.10744] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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35
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Zhang C. Comment on "Commensurability oscillations in magnetoplasmons of a density-modulated two-dimensional electron gas". PHYSICAL REVIEW LETTERS 1990; 65:2207. [PMID: 10042482 DOI: 10.1103/physrevlett.65.2207] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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