Evolution of the magnetization probability of a frustrated antiferromagnet in a hexagonal-triangular lattice in discrete Glauber dynamics

Authors

Diane M. Caneso ⋅ PH National Institute of Physics, University of the Philippines Diliman
Kristian Hauser A. Villegas ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We investigate the evolution of the magnetization probability of a frustrated antiferromagnet in a hexagonal-triangular lattice in discrete time Glauber dynamics. This is done by taking the Ising Hamiltonian H = J Σ_(ij) S_i^z S_i^z with positive coupling J as a model for the antiferro- magnet. We derive the single-time-step transition probability matrix and calculate the evolution of the magnetization probability for various initial conditions. We then investigate three main regimes: i.) x ≡ J/kT → ∞, ii.) x = 1 and iii.) x = 0.1, where kT is the thermal energy. We found that in the first regime, the magnetization probability strongly fluctuates between two values 1 and 0 for magnetizations M = ±1 with the rest of the magnetization probabilities for higher magnetizations |M| > 1 rapidly dropping to zero. When the thermal energy becomes non-negligible compared to J, the higher magnetizations acquire non-zero probabilities even after many time iterations.

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Issue

2013: Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2013-5B-7

Section

Computational Physics

Published

2013-10-23

How to Cite

[1]

DM Caneso, KHA Villegas, and JPH Esguerra, Evolution of the magnetization probability of a frustrated antiferromagnet in a hexagonal-triangular lattice in discrete Glauber dynamics, Proceedings of the Samahang Pisika ng Pilipinas 31, SPP2013-5B-7 (2013). URL: https://proceedings.spp-online.org/article/view/SPP2013-5B-7.