Nature of the Spin-Liquid Ground State of the S=1/2 Heisenberg Model on the Kagome Lattice

被引：502

作者：

Depenbrock, Stefan ^{[1
,2
]}

McCulloch, Ian P. ^{[3
]}

Schollwoeck, Ulrich ^{[1
,2
]}

机构：

[1] Univ Munich, Dept Phys, D-80333 Munich, Germany

[2] Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany

[3] Univ Queensland, Ctr Engn Quantum Syst, Sch Math & Phys, St Lucia, Qld 4072, Australia

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 109卷 / 06期

基金：

澳大利亚研究理事会;

关键词：

MATRIX RENORMALIZATION-GROUP; T-J MODEL; QUANTUM MAGNETISM; ANTIFERROMAGNET; EXCITATIONS; DISORDER; ORDER; GAP;

D O I：

10.1103/PhysRevLett.109.067201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We perform a density-matrix renormalization group (DMRG) study of the S = 1/2 Heisenberg anti-ferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to 16 000 DMRG states, we consider cylinders with circumferences up to 17 lattice spacings and find a spin liquid ground state with an estimated per site energy of -0.4386(5), a spin gap of 0.13(1), very short-range decay in spin, dimer and chiral correlation functions, and finite topological entanglement gamma consistent with gamma = log(2)2, ruling out gapless, chiral, or nontopological spin liquids in favor of a topological spin liquid of quantum dimension 2, with strong evidence for a gapped topological Z(2) spin liquid.

引用

页数：6

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