Critical conductance and its fluctuations at integer hall plateau transitions

被引:61
作者
Wang, ZQ
Jovanovic, B
Lee, DH
机构
[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
[2] UNIV CALIF BERKELEY,DEPT PHYS,BERKELEY,CA 94720
关键词
D O I
10.1103/PhysRevLett.77.4426
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Under periodic boundary conditions in the transverse direction, we calculate the averaged zero-temperature two-terminal conductance [G] and its statistical fluctuation [(delta G)(2n)], for n less than or equal to 4, at the critical point of integer quantum Hall plateau transitions. We find universal values for [G] = (0.58 +/- 0.03)e(2)/h, and [(delta G)(2n)] = (e(2)/h)(2n)A(2 pi), where A(2,4,6,8) = 0.081 +/- 0.005, 0.013 +/- 0.003, 0.0026 +/- 0.005, and (8 +/- 2) x 10(-4), respectively. We also determine the leading finite size scaling corrections to these observables, and make comparisons with experiments.
引用
收藏
页码:4426 / 4429
页数:4
相关论文
共 23 条
[1]  
ALTSHULER BL, 1986, JETP LETT+, V43, P441
[2]   APPLICABILITY OF SCALING DESCRIPTION TO THE DISTRIBUTION OF MESOSCOPIC FLUCTUATIONS [J].
ALTSHULER, BL ;
KRAVTSOV, VE ;
LERNER, IV .
PHYSICS LETTERS A, 1989, 134 (8-9) :488-492
[3]  
ALTSHULER BL, 1986, ZH EKSP TEOR FIZ, V64, P1352
[4]   ELECTRICAL LINEAR-RESPONSE THEORY IN AN ARBITRARY MAGNETIC-FIELD - A NEW FERMI-SURFACE FORMATION [J].
BARANGER, HU ;
STONE, AD .
PHYSICAL REVIEW B, 1989, 40 (12) :8169-8193
[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]  
COBDEN DH, 1996, CONDMAT9606114
[7]   MICROWAVE FREQUENCY-DEPENDENCE OF INTEGER QUANTUM HALL-EFFECT - EVIDENCE FOR FINITE-FREQUENCY SCALING [J].
ENGEL, LW ;
SHAHAR, D ;
KURDAK, C ;
TSUI, DC .
PHYSICAL REVIEW LETTERS, 1993, 71 (16) :2638-2641
[8]   RELATION BETWEEN CONDUCTIVITY AND TRANSMISSION MATRIX [J].
FISHER, DS ;
LEE, PA .
PHYSICAL REVIEW B, 1981, 23 (12) :6851-6854
[9]   PRESENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS - UNIVERSAL RESISTANCE AT THE SUPERCONDUCTOR-INSULATOR TRANSITION [J].
FISHER, MPA ;
GRINSTEIN, G ;
GIRVIN, SM .
PHYSICAL REVIEW LETTERS, 1990, 64 (05) :587-590
[10]   SCALING THEORY OF THE INTEGER QUANTUM HALL-EFFECT [J].
HUCKESTEIN, B .
REVIEWS OF MODERN PHYSICS, 1995, 67 (02) :357-396