Frustrated Antiferromagnets with Entanglement Renormalization: Ground State of the Spin-1/2 Heisenberg Model on a Kagome Lattice

被引：174

作者：

Evenbly, G. ^{[1
]}

Vidal, G. ^{[1
]}

机构：

[1] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 104卷 / 18期

基金：

澳大利亚研究理事会;

关键词：

Antiferromagnets - Best approximations - Heisenberg models - Infinite lattices - Kagome lattice - Periodic boundary conditions - Renormalization - Valence bond crystals;

D O I：

10.1103/PhysRevLett.104.187203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Entanglement renormalization techniques are applied to numerically investigate the ground state of the spin- 1/2 Heisenberg model on a kagome lattice. Lattices of N = {36, 144, infinity} sites with periodic boundary conditions are considered. For the infinite lattice, the best approximation to the ground state is found to be a valence bond crystal with a 36-site unit cell, compatible with a previous proposal. Its energy per site, E = -0.432 21, is an exact upper bound and is lower than the energy of any previous (gapped or algebraic) spin liquid candidate for the ground state.

引用

页数：4

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