Quantum torus chain

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Quantum torus chain

M. P. Qin, J. M. Leinaas, S. Ryu, E. Ardonne, T. Xiang, and D.-H. Lee

Phys. Rev. B 86, 134430 – Published 26 October 2012

Abstract

We introduce a set of one-dimensional quantum lattice models which we refer to as the quantum torus chain. These models have discrete global symmetry and projective on-site representations. They possess an integer-valued parameter which controls the presence or absence of frustration. Depending on whether this parameter is even or odd, these models exhibit either gapped symmetry-breaking phases with isolated critical points or gapped symmetry-breaking phases separated by gapless phases. We discuss the property of these phases and phase transitions for two special values of the parameter and point out many open problems.

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Received 21 May 2012

DOI:https://doi.org/10.1103/PhysRevB.86.134430

Authors & Affiliations

M. P. Qin¹, J. M. Leinaas², S. Ryu³, E. Ardonne^4,5, T. Xiang^1,6, and D.-H. Lee^7,8

¹Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, China
²Department of Physics, University of Oslo, P.O. Box 1048 Blindern, N-0316 Oslo, Norway
³Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA
⁴Nordita, Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden
⁵Department of Physics, Stockholm University, AlbaNova University Center, SE-10691 Stockholm, Sweden
⁶Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China
⁷Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA
⁸Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

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Issue

Vol. 86, Iss. 13 — 1 October 2012

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