Particle propagation in a random and quasi-periodic potential

被引：30
作者：
Borgonovi, F
Shepelyansky, DL
机构：
[1] UNIV TOULOUSE 3, PHYS QUANT LAB, CNRS, UMR C5626, F-31062 TOULOUSE, FRANCE
[2] UNIV CATTOLICA, DIPARTIMENTO MATEMAT, I-25121 BRESCIA, ITALY
[3] BUDKER INST NUCL PHYS, NOVOSIBIRSK 630090, RUSSIA
[4] IST NAZL FIS MAT, I-22100 MILAN, ITALY
[5] IST NAZL FIS NUCL, I-2700 PAVIA, ITALY
来源：
PHYSICA D-NONLINEAR PHENOMENA | 1997年 / 109卷 / 1-2期
关键词：
D O I：
10.1016/S0167-2789(97)00155-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We numerically investigate the Anderson transition in an effective dimension d (3 less than or equal to d less than or equal to 11) for one particle propagation in a model random and quasi-periodic potential. The found critical exponents are different from the standard scaling picture. We discuss possible reasons for this difference.
引用
收藏
页码：24 / 31
页数：8
相关论文
共 16 条
[1]   LOCALIZATION IN NU-DIMENSIONAL INCOMMENSURATE STRUCTURES [J].
BELLISSARD, J ;
LIMA, R ;
SCOPPOLA, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 88 (04) :465-477
[2]   INCOMMENSURABILITY IN AN EXACTLY-SOLUBLE QUANTAL AND CLASSICAL-MODEL FOR A KICKED ROTATOR [J].
BERRY, MV .
PHYSICA D, 1984, 10 (03) :369-378
[3]   ANDERSON TRANSITION IN A ONE-DIMENSIONAL SYSTEM WITH 3 INCOMMENSURATE FREQUENCIES [J].
CASATI, G ;
GUARNERI, I ;
SHEPELYANSKY, DL .
PHYSICAL REVIEW LETTERS, 1989, 62 (04) :345-348
[4]   SCALING PROPERTIES NEAR THE ANDERSON TRANSITION [J].
EFETOV, KB ;
VIEHWEGER, O .
PHYSICAL REVIEW B, 1992, 45 (20) :11546-11556
[5]  
FISHMAN S, 1993, P INT SCH PHYS, V119, P187
[6]  
HIKAMI S, 1986, NUCL PHYS B, V215, P555
[7]   LOCALIZATION - THEORY AND EXPERIMENT [J].
KRAMER, B ;
MACKINNON, A .
REPORTS ON PROGRESS IN PHYSICS, 1993, 56 (12) :1469-1564
[8]   DISORDERED ELECTRONIC SYSTEMS [J].
LEE, PA ;
RAMAKRISHNAN, TV .
REVIEWS OF MODERN PHYSICS, 1985, 57 (02) :287-337
[9]  
LEE PA, 1982, SPRINGER SER SOLID S, V39
[10]   DISTRIBUTION OF LOCAL-DENSITIES OF STATES, ORDER-PARAMETER FUNCTION, AND CRITICAL-BEHAVIOR NEAR THE ANDERSON TRANSITION [J].
MIRLIN, AD ;
FYODOROV, YV .
PHYSICAL REVIEW LETTERS, 1994, 72 (04) :526-529
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