Link between the hierarchy of fractional quantum Hall states and Haldane's conjecture for quantum spin chains

被引：11

作者：

Nakamura, Masaaki ^{[1
]}

Bergholtz, Emil J. ^{[2
]}

Suorsa, Juha ^{[3
]}

机构：

[1] Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan

[2] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[3] Univ Oslo, Dept Phys, N-0316 Oslo, Norway

来源：

PHYSICAL REVIEW B | 2010年 / 81卷 / 16期

关键词：

BOND GROUND-STATES; PHASE-TRANSITIONS; SYMMETRY; ORDER; ANTIFERROMAGNETS; IDENTIFICATION; QUANTIZATION; EXCITATIONS; ALTERNATION; LADDERS;

D O I：

10.1103/PhysRevB.81.165102

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study a strong coupling expansion of the nu = 1/3 fractional quantum Hall state away from the Tao-Thouless limit and show that the leading quantum fluctuations lead to an effective spin-1 Hamiltonian that lacks parity symmetry. By analyzing the energetics, discrete symmetries of low-lying excitations, and string order parameters, we demonstrate that the nu = 1/3 fractional quantum Hall state is adiabatically connected to both Haldane and large-D phases and is characterized by a string order parameter which is dual to the ordinary one. This result indicates a close relation between (a generalized form of) the Haldane conjecture for spin chains and the fractional quantum Hall effect.

引用

页数：8

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