Quantum torus chain

ORAL

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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Authors

  • Mingpu Qin

    • Institute of Physics, Chinese Academy of Sciences

  • Jon Magne Leinaas

    • Department of Physics, University of Oslo

  • Shinsei Ryu

    • Department of Physics, University of Illinois at Urbana-Champaign

  • Eddy Ardonne

    • Nordita, Royal Institute of Technology and Stockholm University

  • Tao Xiang

    • Institute of Physics, Chinese Academy of Sciences and Institute of Theoretical Physics, Chinese Academy of Sciences

  • Dung-Hai Lee

    • Department of Physics, University of California at Berkeley and Materials Sciences Division, Lawrence Berkeley National Laboratory