PHONONS AS COLLECTIVE MODES - THE CASE OF A 2-DIMENSIONAL WIGNER CRYSTAL IN A STRONG MAGNETIC-FIELD

被引:64
作者
COTE, R
MACDONALD, AH
机构
关键词
D O I
10.1103/PhysRevLett.65.2662
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a fully-quantum-mechanical theory for the phonon modes of a two-dimensional Wigner crystal in the strong-magnetic-field limit. Our theory is based on a time-dependent Hartree-Fock approximation of the density-density response function, which is exact in the harmonic limit but allows for arbitrarily large anharmonicity. Our calulation is facilitated by identities, valid in the strong-magnetic-field limit, which allow to be expressed solely in terms of the ground-state electron density. © 1990 The American Physical Society.
引用
收藏
页码:2662 / 2665
页数:4
相关论文
共 28 条
[1]  
ANTONIOU D, UNPUB
[2]   SOME STATIC AND DYNAMICAL PROPERTIES OF A 2-DIMENSIONAL WIGNER CRYSTAL [J].
BONSALL, L ;
MARADUDIN, AA .
PHYSICAL REVIEW B, 1977, 15 (04) :1959-1973
[3]  
BUHMANN H, IN PRESS
[4]   SOLID VERSUS FLUID, AND THE INTERPLAY BETWEEN FLUCTUATIONS, CORRELATIONS, AND EXCHANGE IN THE FRACTIONAL QUANTIZED HALL-EFFECT [J].
CHUI, ST ;
HAKIM, TM ;
MA, KB .
PHYSICAL REVIEW B, 1986, 33 (10) :7110-7121
[5]   MAGNETIC SUBBAND STRUCTURE OF ELECTRONS IN HEXAGONAL LATTICES [J].
CLARO, FH ;
WANNIER, GH .
PHYSICAL REVIEW B, 1979, 19 (12) :6068-6074
[6]  
COTE R, IN PRESS
[7]  
FREDKIN DR, 1965, PHYS REV, V138, P1527
[8]   2-DIMENSIONAL ELECTRON-GAS IN A STRONG MAGNETIC-FIELD [J].
FUKUYAMA, H ;
PLATZMAN, PM ;
ANDERSON, PW .
PHYSICAL REVIEW B, 1979, 19 (10) :5211-5217
[9]   2-DIMENSIONAL WIGNER CRYSTAL UNDER MAGNETIC-FIELD [J].
FUKUYAMA, H .
SOLID STATE COMMUNICATIONS, 1975, 17 (10) :1323-1326
[10]   FORMALISM FOR THE QUANTUM HALL-EFFECT - HILBERT-SPACE OF ANALYTIC-FUNCTIONS [J].
GIRVIN, SM ;
JACH, T .
PHYSICAL REVIEW B, 1984, 29 (10) :5617-5625