ELECTROSTATICS OF EDGE CHANNELS

被引：851

作者：

CHKLOVSKII, DB ^{[1
]}

SHKLOVSKII, BI ^{[1
]}

GLAZMAN, LI ^{[1
]}

机构：

[1] UNIV MINNESOTA,INST THEORET PHYS,MINNEAPOLIS,MN 55455

来源：

PHYSICAL REVIEW B | 1992年 / 46卷 / 07期

关键词：

D O I：

10.1103/PhysRevB.46.4026

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose a quantitative electrostatic theory of the gate-induced confinement of two-dimensional electron gas (2DEG) in the quantum Hall regime. The self-consistent electrostatic potential in the region occupied by 2DEG changes in a steplike manner due to the formation of alternating strips of compressible and incompressible electron liquids. We obtain the dependence of positions and widths of these strips on the filling factor. Incompressible strips are shown to be much more narrow than the compressible ones. The relationship between the widths of the adjacent compressible and incompressible strips is found to be universal: It does not depend on the strip number, magnetic field, or gate voltage. Our theory enables us to explain results obtained in experimental studies of edge-state equilibration.

引用

页码：4026 / 4034

页数：9

共 25 条

[1] SELECTIVE EQUILIBRATION AMONG THE CURRENT-CARRYING STATES IN THE QUANTUM HALL REGIME [J].

ALPHENAAR, BW ;

MCEUEN, PL ;

WHEELER, RG ;

SACKS, RN .

PHYSICAL REVIEW LETTERS, 1990, 64 (06) :677-680

[2]

ALPHENAAR BW, 1991, THESIS YALE U

[3]

ALPHENAAR BW, UNPUB

[4] EDGE CHANNELS FOR THE FRACTIONAL QUANTUM HALL-EFFECT [J].

BEENAKKER, CWJ .

PHYSICAL REVIEW LETTERS, 1990, 64 (02) :216-219

[5]

BEENAKKER CWJ, 1991, SOLID STATE PHYSICS, V44

[6] ABSENCE OF BACKSCATTERING IN THE QUANTUM HALL-EFFECT IN MULTIPROBE CONDUCTORS [J].

BUTTIKER, M .

PHYSICAL REVIEW B, 1988, 38 (14) :9375-9389

[7]

BUTTIKER M, 1992, SEMICONDUCTORS SEMIM, V35

[8] A UNIFIED TRANSPORT-THEORY FOR THE INTEGRAL AND FRACTIONAL QUANTUM HALL-EFFECTS - PHASE BOUNDARIES, EDGE CURRENTS, AND TRANSMISSION REFLECTION PROBABILITIES [J].

CHANG, AM .

SOLID STATE COMMUNICATIONS, 1990, 74 (09) :871-876

[9]

CHANG AM, 1987, QUANTUM HALL EFFECT

[10] EXPERIMENTAL-DETERMINATION OF THE EDGE DEPLETION WIDTH OF THE TWO-DIMENSIONAL ELECTRON-GAS IN GAAS/ALXGA1-XAS [J].

CHOI, KK ;

TSUI, DC ;

ALAVI, K .

APPLIED PHYSICS LETTERS, 1987, 50 (02) :110-112

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