Equilibrium and dynamical properties of the axial next-nearest-neighbor Ising chain at the multiphase point

Phys. Rev. E 62, 1592 – Published 1 August 2000
Abhishek Dhar, B. Sriram Shastry, and Chandan Dasgupta

Abstract

We study the equilibrium and dynamical properties of the axial next-nearest-neighbor Ising chain at the multiphase point. An interesting property of the system is the macroscopic degeneracy of the ground state leading to finite zero-temperature entropy. In our equilibrium study we consider the effect of softening the spins. We show that the degeneracy of the ground state is lifted and there is a qualitative change in the low-temperature behavior of the system with a well-defined low-temperature peak of the specific heat that carries the thermodynamic “weight” of the ground state entropy. In our study of the dynamical properties, the stochastic Kawasaki dynamics is considered. The Fokker-Planck operator for the process corresponds to a quantum spin Hamiltonian similar to the Heisenberg ferromagnet but with constraints on allowed states. This leads to a number of differences in its properties, which are obtained through exact numerical diagonalization, simulations, and by obtaining various analytic bounds.

DOI: http://dx.doi.org/10.1103/PhysRevE.62.1592

  • Received 28 December 1999
  • Published in the issue dated August 2000

© 2000 The American Physical Society

Authors & Affiliations

Abhishek Dhar, B. Sriram Shastry, and Chandan Dasgupta

  • Physics Department, Indian Institute of Science, Bangalore 560012, India

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