QUANTUM PARTICLE IN ONE-DIMENSIONAL POTENTIALS WITH INCOMMENSURATE PERIODS

被引:146
作者
AZBEL, MY [1 ]
机构
[1] BELL TEL LABS INC,MURRAY HILL,NJ 07974
关键词
D O I
10.1103/PhysRevLett.43.1954
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The energy spectrum and wave functions for a particle in periodic potentials with incommensurate periods are obtained analytically and reduced to specific phase trajectories. The spectrum is of the devil's-stairs type. States may be extended and localized, separated by mobility edges. These results are applicable to incommensurate linear chain structures (such as those in Hg3-δAsF6) and to the fine structure of de Haas-van Alphen oscillations. © 1979 The American Physical Society.
引用
收藏
页码:1954 / 1957
页数:4
相关论文
共 19 条
[1]  
Aubry S., 1978, SOLID STATE SCI SOLI, V8, P264
[2]  
AUBRY S, 1979, C GROUP THEORETICAL
[3]  
Azbel M.Ya., 1960, ZH EKSP TEOR FIZ+, V39, P1276
[4]  
AZBEL MY, 1964, SOV PHYS JETP-USSR, V19, P634
[5]  
AZBEL MY, 1963, SOV PHYS JETP-USSR, V17, P665
[6]   FLUCTUATIONS AND ORDER IN A ONE-DIMENSIONAL SYSTEM - SPECTROSCOPICAL STUDY OF PEIERLS TRANSITION IN K2PT(CN)4BR0.3.3(H2O) [J].
BRUESCH, P ;
STRASSLER, S ;
ZELLER, HR .
PHYSICAL REVIEW B, 1975, 12 (01) :219-225
[7]   ANOMALOUS ELECTRICAL-PROPERTIES OF LINEAR-CHAIN MERCURY-COMPOUNDS [J].
CHIANG, CK ;
SPAL, R ;
DENENSTEIN, A ;
HEEGER, AJ ;
MIRO, ND ;
MACDIARMID, AG .
SOLID STATE COMMUNICATIONS, 1977, 22 (05) :293-298
[8]   NONLINEAR TRANSPORT IN TETRATHIAFULVALENE-TETRACYANOQUINODIMETHANE (TTF-TCNQ) AT LOW-TEMPERATURES [J].
COHEN, MJ ;
NEWMAN, PR ;
HEEGER, AJ .
PHYSICAL REVIEW LETTERS, 1976, 37 (22) :1500-1503
[9]   SUPERCONDUCTING FLUCTUATIONS AND PEIERLS INSTABILITY IN AN ORGANIC SOLID [J].
COLEMAN, LB ;
COHEN, MJ ;
SANDMAN, DJ ;
YAMAGISH.FG ;
GARITO, AF ;
HEEGER, AJ .
SOLID STATE COMMUNICATIONS, 1973, 12 (11) :1125-1132
[10]   COMMENSURABILITY IN ONE DIMENSION AT T-NOT-EQUAL 0 [J].
GUYER, RA ;
MILLER, MD .
PHYSICAL REVIEW LETTERS, 1979, 42 (11) :718-722