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

Research output: Contribution to journalArticle

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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perturbation theory
ground state
matrices
phase diagrams
wave functions
energy
products

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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A numerical study for two-dimensional spin 1/2 antiferromagnets : A generalization of Entanglement Perturbation Theory to two-dimensional systems. / Wang, L.; Shirakawa, T.; Watanabe, Hiroshi; Yunoki, S.

In: Journal of Physics: Conference Series, Vol. 273, No. 1, 012131, 2011.

Research output: Contribution to journalArticle

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