RESPONSE FUNCTION OF THE FRACTIONAL QUANTIZED HALL STATE ON A SPHERE .2. EXACT DIAGONALIZATION

被引:63
作者
HE, S [1 ]
SIMON, SH [1 ]
HALPERIN, BI [1 ]
机构
[1] HARVARD UNIV,DEPT DIABET RES & TRAINING,CAMBRIDGE,MA 02138
来源
PHYSICAL REVIEW B | 1994年 / 50卷 / 03期
关键词
D O I
10.1103/PhysRevB.50.1823
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the excitation spectra and the dynamical structure factor of quantum Hall states in a finite-size system through exact diagonalization. Comparison is made between the numerical results so obtained and the analytic results obtained from a modified random-phase approximation in the preceding companion paper. We find good agreement between the results at low energies.
引用
收藏
页码:1823 / 1831
页数:9
相关论文
共 12 条
[1]   HIERARCHICAL-CLASSIFICATION OF FRACTIONAL QUANTUM HALL STATES [J].
DAMBRUMENIL, N ;
MORF, R .
PHYSICAL REVIEW B, 1989, 40 (09) :6108-6119
[2]   CONFIGURATION-INTERACTION CALCULATIONS ON THE FRACTIONAL QUANTUM HALL-EFFECT [J].
FANO, G ;
ORTOLANI, F ;
COLOMBO, E .
PHYSICAL REVIEW B, 1986, 34 (04) :2670-2680
[3]   MAGNETO-ROTON THEORY OF COLLECTIVE EXCITATIONS IN THE FRACTIONAL QUANTUM HALL-EFFECT [J].
GIRVIN, SM ;
MACDONALD, AH ;
PLATZMAN, PM .
PHYSICAL REVIEW B, 1986, 33 (04) :2481-2494
[4]  
HALDANE FDM, 1987, QUANTUM HALL EFFECT, P303
[5]   THEORY OF THE HALF-FILLED LANDAU-LEVEL [J].
HALPERIN, BI ;
LEE, PA ;
READ, N .
PHYSICAL REVIEW B, 1993, 47 (12) :7312-7343
[6]  
He S., UNPUB
[7]   RESONANT RAMAN-SCATTERING FROM MOBILE ELECTRONS IN THE FRACTIONAL QUANTUM HALL REGIME [J].
PLATZMAN, PM ;
HE, S .
PHYSICAL REVIEW B, 1994, 49 (19) :13674-13679
[8]   COLLECTIVE EXCITATIONS IN THE FRACTIONAL QUANTUM HALL-EFFECT [J].
REYNOLDS, AM ;
DAMBRUMENIL, NH .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1988, 21 (33) :5643-5651
[9]   FINITE-WAVE-VECTOR ELECTROMAGNETIC RESPONSE OF FRACTIONAL QUANTIZED HALL STATES [J].
SIMON, SH ;
HALPERIN, BI .
PHYSICAL REVIEW B, 1993, 48 (23) :17368-17387
[10]   RESPONSE FUNCTION OF THE FRACTIONAL QUANTIZED HALL STATE ON A SPHERE .1. FERMION CHERN-SIMONS THEORY [J].
SIMON, SH ;
HALPERIN, BI .
PHYSICAL REVIEW B, 1994, 50 (03) :1807-1822