A numerical study for two-dimensional spin 1/2 antiferromagnets: A generalization of Entanglement Perturbation Theory to two-dimensional systems

L. Wang, T. Shirakawa, Hiroshi Watanabe, S. Yunoki

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Abstract

Two-dimensional spin 1/2 antiferromagnetic Heisenberg models are numerically studied using Entanglement Perturbation Theory, where the ground state wave function is described by a product of local matrices defined at every site, and each matrix is optimized variationally to minimize the energy. We first apply this method for the spin 1/2 antiferromagnetic Heisenberg model on the square lattices to reproduce correctly the known ground state energy and the spin structure factors. Then, we study the spin 1/2 antiferromagnetic Heisenberg model on the triangular lattice with spatially anisotropic nearest neighbor couplings, J and J', to establish the ground state phase diagram as a function of J'/ J.

Original languageEnglish
Article number012131
JournalJournal of Physics: Conference Series
Volume273
Issue number1
DOIs
Publication statusPublished - 2011
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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