MULTIFRACTAL WAVE-FUNCTIONS AND INELASTIC-SCATTERING IN THE INTEGER QUANTUM HALL-EFFECT

被引：41

作者：

BRANDES, T ^{[1
]}

SCHWEITZER, L ^{[1
]}

KRAMER, B ^{[1
]}

机构：

[1] PHYS TECH BUNDESANSTALT,D-38116 BRAUNSCHWEIG,GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 22期

关键词：

D O I：

10.1103/PhysRevLett.72.3582

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider inelastic scattering near the Landau band center of an integer quantum Hall effect system where the electronic eigenstates are multifractal. It is explicitly shown that the generalized fractal dimension D2 enters into the temperature dependence of the energy loss rate for hot electrons, P is similar to T(e)3+eta/2 - T(L)3+eta/2, via a universal exponent eta = 2 - D2 characterizing the eigenfunction correlations. The inelastic rate 1/tau(in) due to electron-phonon interactions shows a novel behavior approximately T(p) with p = 4 in the low and 1 + eta/2 < p less-than-or-equal-to 2 + eta/2 in the intermediate temperature range.

引用

收藏

页码：3582 / 3585

页数：4

相关论文

共 27 条

[1] QUASIPARTICLE LIFETIME IN DISORDERED TWO-DIMENSIONAL METALS [J].

ABRAHAMS, E ;

ANDERSON, PW ;

LEE, PA ;

RAMAKRISHNAN, TV .

PHYSICAL REVIEW B, 1981, 24 (12) :6783-6789

[2] ELECTRONIC INELASTIC LIFETIME NEAR A MOBILITY EDGE [J].

BELITZ, D ;

WYSOKINSKI, KI .

PHYSICAL REVIEW B, 1987, 36 (17) :9333-9336

[3] PHONON EMISSION FROM A DISORDERED 2-DIMENSIONAL ELECTRON-GAS IN A STRONG MAGNETIC-FIELD [J].

BENEDICT, KA .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1991, 3 (10) :1279-1291

[4] BREAKDOWN OF DISSIPATIONLESS QUANTUM HALL CONDUCTION IN NARROW CHANNELS [J].

BLIEK, L ;

HEIN, G ;

JUCKNISCHKE, D ;

KOSE, V ;

NIEMEYER, J ;

WEIMANN, G ;

SCHLAPP, W .

SURFACE SCIENCE, 1988, 196 (1-3) :156-164

[5] WEAK LOCALIZATION - THE QUASI-CLASSICAL THEORY OF ELECTRONS IN A RANDOM POTENTIAL [J].

CHAKRAVARTY, S ;

SCHMID, A .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1986, 140 (04) :193-236

[6] SCALING AND EIGENFUNCTION CORRELATIONS NEAR A MOBILITY EDGE [J].

CHALKER, JT .

PHYSICA A, 1990, 167 (01) :253-258

[7] SCALING, DIFFUSION, AND THE INTEGER QUANTIZED HALL-EFFECT [J].

CHALKER, JT ;

DANIELL, GJ .

PHYSICAL REVIEW LETTERS, 1988, 61 (05) :593-596

[8] TWO-DIMENSIONAL MAGNETO-QUANTUM TRANSPORT ON GAAS-ALXGA1-XAS HETEROSTRUCTURES UNDER NON-OHMIC CONDITIONS [J].

EBERT, G ;

VONKLITZING, K ;

PLOOG, K ;

WEIMANN, G .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (28) :5441-5448

[9]

EILER W, 1984, J LOW TEMP PHYS, V54, P481

[10] CHARACTERIZATION OF THE ELECTRONIC STATES NEAR THE CENTERS OF THE LANDAU BANDS UNDER QUANTUM HALL CONDITIONS [J].

HUCKESTEIN, B ;

KRAMER, B ;

SCHWEITZER, L .

SURFACE SCIENCE, 1992, 263 (1-3) :125-128