MODE-LOCKING OF SELF-GENERATED OSCILLATIONS IN A SEMICONDUCTOR MODEL FOR LOW-TEMPERATURE IMPURITY BREAKDOWN

被引:5
作者
NABER, H [1 ]
SCHOLL, E [1 ]
机构
[1] TECH UNIV BERLIN, INST THEORET PHYS, W-1000 BERLIN 12, GERMANY
来源
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1990年 / 78卷 / 02期
关键词
D O I
10.1007/BF01307851
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The nonlinear dynamic behaviour of a model for self-generated, spatially coupled current oscillations in two separated parts of a semiconductor is analysed. The model involves impurity impact ionization, nonlinear energy relaxation of hot carriers, and energy exchange between the two subsystems. Quasiperiodicity and mode-locking are obtained, and characterized by a suitably defined rotation number and a spectral bifurcation diagram. The mode-locking structure is found to obey the Farey tree ordering, and can be understood on the basis of the circle map theory, assuming a particular path in the two-dimensional phase diagram of the circle map. © 1990 Springer-Verlag.
引用
收藏
页码:305 / 315
页数:11
相关论文
共 27 条
[1]   PHASE-LOCKING STRUCTURE OF INTEGRATE-AND-FIRE MODELS WITH THRESHOLD MODULATION [J].
ALSTROM, P ;
LEVINSEN, MT .
PHYSICS LETTERS A, 1988, 128 (3-4) :187-192
[2]   MODE-LOCKING AND THE TRANSITION TO CHAOS IN DISSIPATIVE SYSTEMS [J].
BAK, P ;
BOHR, T ;
JENSEN, MH .
PHYSICA SCRIPTA, 1985, T9 :50-58
[3]   TRANSITION TO CHAOS BY INTERACTION OF RESONANCES IN DISSIPATIVE SYSTEMS .2. JOSEPHSON-JUNCTIONS, CHARGE-DENSITY WAVES, AND STANDARD MAPS [J].
BOHR, T ;
BAK, P ;
JENSEN, MH .
PHYSICAL REVIEW A, 1984, 30 (04) :1970-1981
[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]   FREQUENCY LOCKING, QUASI-PERIODICITY, AND CHAOS IN EXTRINSIC GE [J].
GWINN, EG ;
WESTERVELT, RM .
PHYSICAL REVIEW LETTERS, 1986, 57 (08) :1060-1063
[6]   QUASI-PERIODIC TRANSITIONS TO CHAOS OF INSTABILITIES IN AN ELECTRON-HOLE PLASMA EXCITED BY AC PERTURBATIONS AT ONE AND AT 2 FREQUENCIES [J].
HELD, GA ;
JEFFRIES, C .
PHYSICAL REVIEW LETTERS, 1986, 56 (11) :1183-1186
[7]   TRANSITION TO CHAOS BY INTERACTION OF RESONANCES IN DISSIPATIVE SYSTEMS .1. CIRCLE MAPS [J].
JENSEN, MH ;
BAK, P ;
BOHR, T .
PHYSICAL REVIEW A, 1984, 30 (04) :1960-1969
[8]   CIRCLE MAPS AND MODE-LOCKING IN THE DRIVEN ELECTRICAL-CONDUCTIVITY OF BARIUM SODIUM NIOBATE CRYSTALS [J].
MARTIN, S ;
MARTIENSSEN, W .
PHYSICAL REVIEW LETTERS, 1986, 56 (15) :1522-1525
[9]   A NEGATIVE DIFFERENTIAL CONDUCTIVITY DUE TO RECOMBINATION AND IMPACT IONIZATION IN SEMICONDUCTORS AT LOW-TEMPERATURES [J].
MITIN, VV .
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 1986, 39 (02) :123-127
[10]  
NABER H, 1988, THESIS RWTH AACHEN