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.
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页数：4
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