EXPLICIT RELATION OF THE QUANTUM HALL-EFFECT AND THE CALOGERO SUTHERLAND MODEL

被引：98

作者：

AZUMA, H

ISO, S

机构：

[1] Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo, 113

来源：

PHYSICS LETTERS B | 1994年 / 331卷 / 1-2期

关键词：

D O I：

10.1016/0370-2693(94)90949-0

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The explicit relation between the Laughlin state of the quantum Hall effect and the one-dimensional (1D) model with long-ranged interaction (1/r2) is discussed. By rewriting the lowest Landau level wave functions in terms of the 1D representation, the Laughlin state can be written as a deformation of the ground state of the Calogero-Sutherland model. Corresponding to the Laughlin state on different geometries, different types of 1D 1/r2 interaction models are derived.

引用

页码：107 / 113

页数：7

共 16 条

[1]

AZUMA H, IN PRESS

[2] THE CALOGERO MODEL - ANYONIC REPRESENTATION, FERMIONIC EXTENSION AND SUPERSYMMETRY [J].