XYring-exchange model on the triangular lattice

2002/12/31 by Leon Balents, Arun Paramekanti · 1 citation
Physics and Astronomy · #Antiferromagnetism #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Hexagonal lattice #Lattice (music) #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Spins #Superfluidity #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.67.134427

published as Phys. Rev. B 67, 133427 (2003) · 9 pgs (RevTeX), 4 figs

arxiv created 2003/01/14 · openalex publication_date 2003/04/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study ring-exchange models for bosons or XY spins on a triangular lattice. A four-spin exchange leads to a manifold of ground states with gapless excitations and critical power-law correlations. With a nearest-neighbor exchange, fluctuations select a four-fold ferrimagnetically ordered ground state with a small spin (superfluid) stiffness which breaks the global U(1) and translational symmetry. We explore consequences for phase transitions at finite temperature and in an in-plane magnetic field.

Citations

• From Néel long-range order to spin liquids in the multiple-spin exchange model
• Spin Waves and Electronic Interactions inLa2CuO4
• Phase transitions induced by easy-plane anisotropy in the classical Heisenberg antiferromagnet on a triangular lattice: A Monte Carlo simulation
• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems

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