Effect of finite electric field on the quantum Hall effect

Effect of finite electric field on the quantum Hall effect

A229 S. HIYAMIZU Semrconductor Received and S. SASA Materials Laborator?;. 22 July 1985; accepted FuJitsu Laboratones, for publication Ltd., ...

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A229 S. HIYAMIZU Semrconductor

Received

and S. SASA

Materials

Laborator?;.

22 July 1985; accepted

FuJitsu Laboratones,

for publication

Ltd.,

13 September

One. Atsugl

243-01, Jupun

1985

heterostructures is studied as a Diagonal conductivity e,, of 2D electrons in GaAs-AlGaAs function of Hall electric field E, for i = 6. 4 and 2 Hall steps, and is compared with calculations taking account of electron heating. The breakdown of the quantum Hall effect is consistently explained for every Hall step in terms of an S-shaped characteristic in the (r,, versus E, relations.

Surface Science 170 (1986) 209-213 North-Holland, Amsterdam

209

SIZE EFFECT IN THE QUANTUM H.Z. ZHENG, Depurtment

K.K. CHOI

of Electrical

HALL REGIME

and D.C. TSUI

Engineermg,

Prmceton

University,

Prmceton,

New Jer.yey 08544.

USA

and G. WEIMANN Forschungsinstltut

der Deutschen

Bundespost.

P.O. Box 5000, D-6100

Darmstadt,

Fed. Rep. of German)

Received

13 July 1985; accepted

for publication

We have studied the quantum Hall changes in tts characteristic features.

effect

13 September

1985

in restricted

dimensions

Surface

214

EXPERIMENTAL THE QUANTUM

DETERMINATION HALL REGIME

OF THE

and

observed

striking

Science 170 (1986) 214- 221 North-Holland. Amsterdam

CURRENT

FLOW

IN

B.B. GOLDBERG Department

of Physks,

Brown

lJnwersrt,v, Procvdence. Rhode Islund

02912.

USA

UnrversltP

Purls

Ch. SIMON Groupe de Physrque des Solrdes de I’Ecole F-75251

Normale

Sup&ewe.

7. 2 Pircr

Jussreu.

Purrs CCdex 0.5. France

and F.F. FANG, IBM

M.K. THOMAS

and S. WRIGHT

Thomas J. Watson Research Center. P.O. Box 218. Yorktown

Received

17 July 1985; accepted

for publication

13 September

Heights,

New York 10.598, USA

1985

We have developed a new method of determining the Interior potential distribution. and hence the current flow. in a quantized two-dimensional electron gas (ZDEG) at low temperature and high magnetic fields. Our results show that current carrying states exist in the bulk of the 2DEG and that the distribution of current changes with source-drain current and can vary appreciably over a small range of magnetic field well within the quantum Hall regime. In addition. increasing e,, reduces the variation in the current distribution with magnetic field.