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Ground state properties of chiral XY-model on a one-dimensional lattice

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  • Fukui, Yoshihiko
  • Horiguchi, Tsuyoshi

Abstract

We investigate ground state properties of a chiral XY-model on a one-dimensional lattice in which we have two parameters: natural cantedness α and field strength γ. We perform numerical calculations for the ground state energy and periodic configurations. We get the energy, its derivative in terms of α, the magnetization and the devil's staircase as functions of α for γ=0.2 and the energy and the magnetization as functions of γ for α⧸2π=320. We obtain the phase diagram in the parameter space (α, γ). An area-preserving map, which is obtained from the stationary condition for the energy, is numerically investigated in relation to periodic orbits giving the minimum energy. The exact solutions for the energy and periodic orbits are given for winding numbers 0, case14 and case16.

Suggested Citation

  • Fukui, Yoshihiko & Horiguchi, Tsuyoshi, 1993. "Ground state properties of chiral XY-model on a one-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 580-598.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:3:p:580-598
    DOI: 10.1016/0378-4371(93)90069-G
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    Cited by:

    1. Lipowski, Adam & Horiguchi, Tsuyoshi & Honda, Yasushi, 1997. "Partial ordering at the ground state of frustrated spin-S Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 297-319.
    2. Horiguchi, Tsuyoshi, 1995. "Decomposition of Ising spin of spin-S Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(3), pages 452-460.

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