Quantum torus chain

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

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number134430
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number13
StatePublished - Oct 26 2012
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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