COMPLETE MODE-LOCKING IN MODELS OF CHARGE-DENSITY WAVES

被引:58
作者
MIDDLETON, AA
BIHAM, O
LITTLEWOOD, PB
SIBANI, P
机构
[1] AT&T BELL LABS,MURRAY HILL,NJ 07974
[2] ODENSE UNIV,DEPT PHYS,DK-5230 ODENSE,DENMARK
关键词
D O I
10.1103/PhysRevLett.68.1586
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Mode locking in ac-driven charge-density waves is studied numerically in two and three dimensions, using both continuous equations of motion and a cellular automaton model. As the system size is increased, a complete devil's staircase of steps is approached. The fractal dimension of the set of gaps in the staircase is found to be D0 = 0.75 +/- 0.04 (0.88 +/- 0.05) in two (three) dimensions in the automaton model. The spectrum of singularities f(alpha) is calculated and is related to the dynamic critical exponent-zeta for the char -density-wave depinning transition.
引用
收藏
页码:1586 / 1589
页数:4
相关论文
共 32 条
[1]   FRACTIONAL GIANT SHAPIRO STEPS AND SPATIALLY CORRELATED PHASE MOTION IN 2D JOSEPHSON ARRAYS [J].
BENZ, SP ;
RZCHOWSKI, MS ;
TINKHAM, M ;
LOBB, CJ .
PHYSICAL REVIEW LETTERS, 1990, 64 (06) :693-696
[2]   TEMPORAL COHERENCE IN THE SLIDING CHARGE-DENSITY-WAVE CONDENSATE [J].
BHATTACHARYA, S ;
STOKES, JP ;
HIGGINS, MJ ;
KLEMM, RA .
PHYSICAL REVIEW LETTERS, 1987, 59 (16) :1849-1852
[3]   GLOBAL UNIVERSALITY IN THE FRENKEL-KONTOROVA MODEL [J].
BIHAM, O ;
MUKAMEL, D .
PHYSICAL REVIEW A, 1989, 39 (10) :5326-5335
[4]   SUBHARMONIC SHAPIRO STEPS AND DEVILS-STAIRCASE BEHAVIOR IN DRIVEN CHARGE-DENSITY-WAVE SYSTEMS [J].
BROWN, SE ;
MOZURKEWICH, G ;
GRUNER, G .
PHYSICAL REVIEW LETTERS, 1984, 52 (25) :2277-2280
[5]   SELF-ORGANIZED CRITICALITY IN SANDPILES - NATURE OF THE CRITICAL PHENOMENON [J].
CARLSON, JM ;
CHAYES, JT ;
GRANNAN, ER ;
SWINDLE, GH .
PHYSICAL REVIEW A, 1990, 42 (04) :2467-2470
[6]   DIRECT DETERMINATION OF THE F(ALPHA) SINGULARITY SPECTRUM [J].
CHHABRA, A ;
JENSEN, RV .
PHYSICAL REVIEW LETTERS, 1989, 62 (12) :1327-1330
[7]   PULSE-DURATION MEMORY EFFECT AND DEFORMABLE CHARGE-DENSITY WAVES [J].
COPPERSMITH, SN ;
LITTLEWOOD, PB .
PHYSICAL REVIEW B, 1987, 36 (01) :311-317
[8]   OVERDAMPED FRENKEL-KONTOROVA MODEL WITH RANDOMNESS AS A DYNAMICAL SYSTEM .2. NUMERICAL-STUDIES OF MODE-LOCKING [J].
COPPERSMITH, SN .
PHYSICAL REVIEW A, 1988, 38 (01) :375-381
[9]   INTERFERENCE PHENOMENA AND MODE-LOCKING IN THE MODEL OF DEFORMABLE SLIDING CHARGE-DENSITY WAVES [J].
COPPERSMITH, SN ;
LITTLEWOOD, PB .
PHYSICAL REVIEW LETTERS, 1986, 57 (15) :1927-1930
[10]  
EFETOV KB, 1977, ZH EKSP TEOR FIZ, V45, P1236