English

Spin Liquid Phases in 2D Frustrated XY Model

Statistical Mechanics 2009-10-30 v1

Abstract

In this paper we consider the J1J2J3J_1-J_2-J_3 classical and quantum 2D XY model. Spin wave calculations show that a spin liquid phase still exists in the quantum case as for Heisenberg models. We formulate a semiclassical approach of these models based on spin wave action and use a variational method to study the role played by vortices. Liquid and crystal phases of vortex could emerge in this description. These phases seem to be directly correlated with the spin liquid one and to its crystalline interpretation.

Keywords

Cite

@article{arxiv.cond-mat/9707074,
  title  = {Spin Liquid Phases in 2D Frustrated XY Model},
  author = {P. Simon},
  journal= {arXiv preprint arXiv:cond-mat/9707074},
  year   = {2009}
}

Comments

16 pages, Latex, 4 figures. To be published in Phys. Rev. B

R2 v1 2026-07-22T11:58:33.773Z