Magnetic-field-induced directional localization in a 2D rectangular lattice

被引:17
作者
Barelli, A
Bellissard, J
Claro, F
机构
[1] Univ Toulouse 3, IRSAMC, CNRS, Lab Phys Quant,UMR5626 Associee, F-31062 Toulouse 4, France
[2] Pontificia Univ Catolica Chile, Fac Fis, Santiago 22, Chile
关键词
D O I
10.1103/PhysRevLett.83.5082
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the effect of a perpendicular uniform magnetic field on the dissipative conductivity of a rectangular lattice with anisotropic hopping, t(x) not equal t(y). We show that the magnetic field may enhance dramatically the directional anisotropy in the conductivity. The effect is a measurable physical realization of Aubry's duality in Harper systems.
引用
收藏
页码:5082 / 5085
页数:4
相关论文
共 29 条
[1]  
[Anonymous], PHYS REV A
[2]  
Aubry S., 1980, Annals of the Israel Physical Society, V3, P133
[3]   ON THE MEASURE OF THE SPECTRUM FOR THE ALMOST MATHIEU OPERATOR [J].
AVRON, J ;
VONMOUCHE, PHM ;
SIMON, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 132 (01) :103-118
[4]  
BARELLI A, IN PRESS
[5]   CANTOR SPECTRUM FOR THE ALMOST MATHIEU EQUATION [J].
BELLISSARD, J ;
SIMON, B .
JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 48 (03) :408-419
[6]   A METAL-INSULATOR-TRANSITION FOR THE ALMOST MATHIEU MODEL [J].
BELLISSARD, J ;
LIMA, R ;
TESTARD, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 88 (02) :207-234
[7]   THE NONCOMMUTATIVE GEOMETRY OF THE QUANTUM HALL-EFFECT [J].
BELLISSARD, J ;
VANELST, A ;
SCHULZBALDES, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (10) :5373-5451
[8]  
Bellissard J., 1982, MATH PROBLEMS THEORE, V153, P356
[9]  
BELLISSARD J, 1986, LECT NOTES PHYSICS, V257
[10]   PURELY ABSOLUTELY CONTINUOUS-SPECTRUM FOR ALMOST MATHIEU OPERATORS [J].
CHULAEVSKY, V ;
DELYON, F .
JOURNAL OF STATISTICAL PHYSICS, 1989, 55 (5-6) :1279-1284