DELOCALIZED VIBRATIONS IN CLASSICAL RANDOM CHAINS

被引:62
作者
DOMINGUEZADAME, F [1 ]
MACIA, E [1 ]
SANCHEZ, A [1 ]
机构
[1] UNIV CARLOS III,ESCUELA POLITECN SUPER,E-28913 LEGANES,SPAIN
来源
PHYSICAL REVIEW B | 1993年 / 48卷 / 09期
关键词
D O I
10.1103/PhysRevB.48.6054
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Normal modes of one-dimensional disordered chains with two couplings, one of them assigned at random to pairs in an otherwise perfect chain, are investigated. We diagonalize the dynamical matrix to find the normal modes and to study their spatial extent. Multifractal analysis is used to discern clearly the localized or delocalized character of vibrations. In constrast to the general viewpoint that all normal modes in one dimensional random chains are localized, we find a set of extended modes close to a critical frequency, whose number increases with the system size and becomes independent of the defect concentration.
引用
收藏
页码:6054 / 6057
页数:4
相关论文
共 12 条
[1]   LOCALIZATION OF PHONONS [J].
CANISIUS, J ;
VANHEMMEN, JL .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1985, 18 (25) :4873-4884
[2]   VIBRATIONS OF GLASS-LIKE DISORDERED CHAINS [J].
DEAN, P .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1964, 84 (5415) :727-&
[3]   ABSENCE OF LOCALIZATION IN A RANDOM-DIMER MODEL [J].
DUNLAP, DH ;
WU, HL ;
PHILLIPS, PW .
PHYSICAL REVIEW LETTERS, 1990, 65 (01) :88-91
[4]  
LIEB EH, 1966, MATH PHYSICS ONE DIM
[5]  
Matsuda H., 1970, Progress of Theoretical Physics Supplement, P56, DOI 10.1143/PTPS.45.56
[6]   LOCALIZATION AND ITS ABSENCE - A NEW METALLIC STATE FOR CONDUCTING POLYMERS [J].
PHILLIPS, P ;
WU, HL .
SCIENCE, 1991, 252 (5014) :1805-1812
[7]  
Press W.H, 1989, NUMERICAL RECIPES C
[8]  
SANCHEZ A, UNPUB
[9]  
Schreiber M., 1992, Modern Physics Letters B, V6, P851, DOI 10.1142/S0217984992001708
[10]   POLYANILINE IS A RANDOM-DIMER MODEL - A NEW TRANSPORT MECHANISM FOR CONDUCTING POLYMERS [J].
WU, HL ;
PHILLIPS, P .
PHYSICAL REVIEW LETTERS, 1991, 66 (10) :1366-1369