Twist Boundary Conditions of Quantum Spin Chains near the Gaussian Fixed Points

Details Twist Boundary Conditions of Quantum Spin Chains near the Gaussian Fixed Points Twist Boundary Conditions of Quantum Spin Chains near the Gaussian Fixed Points

1996-07-23

arxiv.org/abs/cond-mat/9607161v1

Physics

Condensed Matter

9 pages, Latex, 2 figures on request, TITCMT-96-7

Scientific paper

10.1088/0305-4470/30/9/005

Duality transformation, which relates a high-temperature phase to a low-temperature one, is used exactly to determine the critical point for several models (2D Ising, Potts, Ashkin-Teller, 8-vertex), as the self dual condition. By changing boundary condition, numerically we can determine the self-dual(critical) point of the Ashkin-Teller(or Gaussian) model. This is the first explicit application of the duality to the numerical calculation, with the use of boundary conditions.

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