SUPPRESSION OF INTER-EDGE-STATE EQUILIBRATION DUE TO MULTIPLE-SCATTERING WITH IMPURITIES

被引：29

作者：

MARTIN, T ^{[1
]}

FENG, SC ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,DEPT PHYS,LOS ANGELES,CA 90024

来源：

PHYSICAL REVIEW B | 1991年 / 44卷 / 16期

关键词：

D O I：

10.1103/PhysRevB.44.9084

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a theoretical analysis of the effect of multiple impurity scattering on the various equilibration processes between the edge states in the integer quantum Hall effect. In the Born (single-scattering) approximation, which is valid for very low impurity concentrations, it was found that both the elastic and inelastic (phonon) scattering between the edge states are suppressed in high magnetic fields. In the presence of higher impurity concentrations, the higher-order terms in the perturbation series dominate the equilibration process. We use arguments similar to those in the variable-range-hopping theory to derive a multiple-scattering-assisted equilibration rate between neighboring edge states. The results show an exponential suppression of scattering, as compared with the Gaussian suppression in the Born approximation. We also find that the momentum-energy-conservation requirements for phonon emission are relaxed in this mechanism.

引用

页码：9084 / 9087

页数：4

共 32 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] ABSENCE OF BACKSCATTERING IN THE QUANTUM HALL-EFFECT IN MULTIPROBE CONDUCTORS [J].

BUTTIKER, M .

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

[4] 4-TERMINAL PHASE-COHERENT CONDUCTANCE [J].

BUTTIKER, M .

PHYSICAL REVIEW LETTERS, 1986, 57 (14) :1761-1764

[5] INTERCHANNEL SCATTERING AND INTERIOR CONTACTS IN THE QUANTUM HALL-EFFECT [J].

FAIST, J .

EUROPHYSICS LETTERS, 1991, 15 (03) :331-336

[6] INTERIOR CONTACTS FOR PROBING THE EQUILIBRIUM BETWEEN MAGNETIC EDGE CHANNELS IN THE QUANTUM HALL-EFFECT [J].

FAIST, J ;

GUERET, P ;

MEIER, HP .

PHYSICAL REVIEW B, 1991, 43 (11) :9332-9335

[7]

HALPERIN BI, 1982, PHYS REV B, V25, P2186

[8] QUANTIZED MULTICHANNEL MAGNETOTRANSPORT THROUGH A BARRIER IN 2 DIMENSIONS [J].

HAUG, RJ ;

MACDONALD, AH ;

STREDA, P ;

VONKLITZING, K .

PHYSICAL REVIEW LETTERS, 1988, 61 (24) :2797-2800

[9] INFLUENCE OF EDGE CURRENTS ON SHUBNIKOV-DEHAAS OSCILLATIONS IN TWO-DIMENSIONAL SYSTEMS [J].

HAUG, RJ ;

VONKLITZING, K .

EUROPHYSICS LETTERS, 1989, 10 (05) :489-492

[10] ELECTRON-PHONON INTERACTIONS AND THE BREAKDOWN OF THE DISSIPATIONLESS QUANTUM HALL-EFFECT [J].

HEINONEN, O ;

TAYLOR, PL ;

GIRVIN, SM .

PHYSICAL REVIEW B, 1984, 30 (06) :3016-3019

← 1 2 3 4 →