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Low temperature phase of the quantum triangular lattice XY model with Dzyaloshinsky-Moriya interaction

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  • Biegala, L.
  • Drzewiński, A.
  • Sznajd, J.

Abstract

The critical behaviour and low temperature phase of a generalized XY model with symmetric K and antisymmetric (Dzyaloshinsky-Moriya) D interactions on the triangular lattice is studied. For the quantum s = 12 version the finite temperature real space renormalization group method is applied to find the critical lines in the plane (K, D) and to estimate the nearest neighbour spin pair correlations. For the classical model, using Spin Molecular Dynamics simulations the ground state configurations and stability of an initial in-plane “vortex” are investigated.

Suggested Citation

  • Biegala, L. & Drzewiński, A. & Sznajd, J., 1996. "Low temperature phase of the quantum triangular lattice XY model with Dzyaloshinsky-Moriya interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(2), pages 254-270.
    • Handle: RePEc:eee:phsmap:v:225:y:1996:i:2:p:254-270
    DOI: 10.1016/0378-4371(95)00406-8
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    References listed on IDEAS

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    1. Aharony, Joseph & Saunders, Anthony & Swary, Itzhak, 1988. "The effects of DIDMCA on bank stockholders' returns and risk," Journal of Banking & Finance, Elsevier, vol. 12(3), pages 317-331, September.
    2. Biegała, L. & Sznajd, J., 1994. "On the spin dynamics of 2D ferromagnets with Dzyaloshinsky-Moriya interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 209(3), pages 422-430.
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