CROSSOVER EXPONENT FOR A WEAK MAGNETIC-FIELD AT THE LOCALIZATION ORTHOGONAL FIXED-POINT

被引:9
作者
BIAFORE, M [1 ]
CASTELLANI, C [1 ]
KOTLIAR, G [1 ]
机构
[1] RUTGERS STATE UNIV,DEPT PHYS,PISCATAWAY,NJ 08854
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(90)90461-L
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We re-examine the non-linear σ-model lagrangian for the soft modes of non-interacting electrons in a disordered system in a weak magnetic field, close to two dimensions. The magnetic field is shown to induce two scaling terms in the low-energy lagrangian. The crossover exponents are computed by using a Wilson-Polyakov non-linear renormalization group. The largest one agrees to lowest order with the exponent expected from naive scaling arguments. © 1990.
引用
收藏
页码:617 / 632
页数:16
相关论文
共 17 条
[1]   TRANSPORT-COEFFICIENTS CLOSE TO THE MOBILITY EDGE AND NONLINEAR SIGMA-MODEL COMPOSITE-OPERATORS [J].
CASTELLANI, C ;
KOTLIAR, G .
PHYSICAL REVIEW B, 1987, 36 (14) :7407-7416
[2]   CROSSOVER IN THE ANDERSON TRANSITION - ACOUSTIC LOCALIZATION WITH A FLOW [J].
COHEN, SM ;
MACHTA, J ;
KIRKPATRICK, TR ;
CONDAT, CA .
PHYSICAL REVIEW LETTERS, 1987, 58 (08) :785-788
[3]  
EFETOV KB, 1980, ZH EKSP TEOR FIZ, V52, P568
[4]   CRITICAL-BEHAVIOR OF THE HALL CONDUCTIVITY AT THE METAL-INSULATOR-TRANSITION [J].
FIELD, SB ;
ROSENBAUM, TF .
PHYSICAL REVIEW LETTERS, 1985, 55 (05) :522-524
[5]   HALL-EFFECT IN TWO-DIMENSIONAL DISORDERED-SYSTEMS [J].
FUKUYAMA, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1980, 49 (02) :644-648
[6]   ANDERSON LOCALIZATION IN A NONLINEAR-SIGMA-MODEL REPRESENTATION [J].
HIKAMI, S .
PHYSICAL REVIEW B, 1981, 24 (05) :2671-2679
[7]   LOCALIZATION - THE EFFECT OF A WEAK MAGNETIC-FIELD [J].
HOUGHTON, A ;
MCKANE, AJ ;
CERDEIRA, HA .
JOURNAL OF STATISTICAL PHYSICS, 1987, 48 (1-2) :81-96
[8]   MOBILITY EDGE SHIFT IN EXTERNAL MAGNETIC-FIELD [J].
KHMELNITSKII, DE ;
LARKIN, AI .
SOLID STATE COMMUNICATIONS, 1981, 39 (10) :1069-1070
[9]  
Kogut J.B., 1974, PHYS REPT, V12, P75, DOI [10.1016/0370-1573(74)90023-4, DOI 10.1016/0370-1573(74)90023-4]
[10]   MAGNETIC-FIELD INDUCED CROSSOVER IN WEAKLY LOCALIZED REGIMES AND SCALING OF THE CONDUCTIVITY [J].
OPPERMANN, R .
JOURNAL DE PHYSIQUE LETTRES, 1984, 45 (24) :1161-1165