Exact results for systems of electrons in the fractional quantum Hall regime II

被引:17
作者
Ciftja, O. [1 ,2 ]
机构
[1] Prairie View A&M Univ, Dept Phys, Prairie View, TX 77446 USA
[2] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
基金
美国国家科学基金会;
关键词
Quantum Hall effects; Laughlin states; Landau levels;
D O I
10.1016/j.physb.2009.04.018
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
In a previous work [C. Ciftja, Physica B 404 (2009) 227] we reported the exact calculation of energies for the fractional quantum Hall Laughlin state at filling factor v = 1/3 for systems with up to N = 4 electrons in a disk geometry. The purpose of this brief extension of the earlier work is to report similar exact results for the other Laughlin state at filling factor v = 1/5. We use the same method of orthogonal Jacobi variables adopted in the earlier work. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:2244 / 2246
页数:3
相关论文
共 5 条
[1]   Monte Carlo simulation method for Laughlin-like states in a disk geometry [J].
Ciftja, O ;
Wexler, C .
PHYSICAL REVIEW B, 2003, 67 (07) :753041-753048
[3]   Theoretical estimates for the correlation energy of the unprojected composite fermion wave function [J].
Ciftja, O .
PHYSICA E, 2001, 9 (02) :226-230
[5]   MONTE-CARLO EVALUATION OF TRIAL WAVE-FUNCTIONS FOR THE FRACTIONAL QUANTIZED HALL-EFFECT - DISK GEOMETRY [J].
MORF, R ;
HALPERIN, BI .
PHYSICAL REVIEW B, 1986, 33 (04) :2221-2246