Microscopic details of the integer quantum Hall effect in an anti-Hall bar

被引：2

作者：

Uiberacker, Christoph ^{[1
]}

Stecher, Christian ^{[1
]}

Oswald, Josef ^{[1
]}

机构：

[1] Univ Min & Met Leoben, Inst Phys, A-8700 Leoben, Austria

来源：

PHYSICAL REVIEW B | 2012年 / 86卷 / 04期

基金：

奥地利科学基金会;

关键词：

2-DIMENSIONAL ELECTRON-GAS; GAAS/ALGAAS HETEROSTRUCTURE; TRANSMISSION; EDGE; MAGNETOTRANSPORT; PERCOLATION; STATES;

D O I：

10.1103/PhysRevB.86.045304

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Due to the lack of simulation tools that take into account the actual geometry of complicated quantum Hall samples there are lots of experiments that are not yet fully understood. Already some years ago Mani recorded a shift of the Hall resistance transitions to lower magnetic fields in samples of a Hall bar with an embedded anti-Hall bar by using a partial gating. We use a nonequilibrium network model to simulate this geometry and find qualitative agreement. Fitting the simulated resistance curves to the experimental results we can not only determine the carrier concentration but also obtain an estimate of the screened gating potential and especially the amplitude and length scale of potential fluctuations from charge inhomogeneities which are not easily accessible by experiment.

引用

页数：7

共 36 条

[1] Hall potential profiles in the quantum Hall regime measured by a scanning force microscope [J].

Ahlswede, E ;

Weitz, P ;

Weis, J ;

von Klitzing, K ;

Eberl, K .

PHYSICA B-CONDENSED MATTER, 2001, 298 (1-4) :562-566

[2] ELECTRONIC-PROPERTIES OF TWO-DIMENSIONAL SYSTEMS [J].

ANDO, T ;

FOWLER, AB ;

STERN, F .

REVIEWS OF MODERN PHYSICS, 1982, 54 (02) :437-672

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

BUTTIKER, M .

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

[4] QUANTIZED TRANSMISSION OF A SADDLE-POINT CONSTRICTION [J].

BUTTIKER, M .

PHYSICAL REVIEW B, 1990, 41 (11) :7906-7909

[5] PERCOLATION, QUANTUM TUNNELLING AND THE INTEGER HALL-EFFECT [J].

CHALKER, JT ;

CODDINGTON, PD .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1988, 21 (14) :2665-2679

[6] ELECTROSTATICS OF EDGE CHANNELS [J].

CHKLOVSKII, DB ;

SHKLOVSKII, BI ;

GLAZMAN, LI .

PHYSICAL REVIEW B, 1992, 46 (07) :4026-4034

[7] Cryogenic scanning force microscopy of quantum Hall samples: Adiabatic transport originating in anisotropic depletion at contact interfaces [J].

Dahlem, F. ;

Ahlswede, E. ;

Weis, J. ;

v. Klitzing, K. .

PHYSICAL REVIEW B, 2010, 82 (12)

[8]

Datta S., 1997, Electronic transport in mesoscopic systems, DOI DOI 10.1063/1.2807624

[9] TRANSMISSION COEFFICIENT OF AN ELECTRON THROUGH A SADDLE-POINT POTENTIAL IN A MAGNETIC-FIELD [J].

FERTIG, HA ;

HALPERIN, BI .

PHYSICAL REVIEW B, 1987, 36 (15) :7969-7976

[10]

Grimmett G., 1999, PERCOLATION

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