Ground-state energy and spin gap of spin-1/2 Kagome-Heisenberg antiferromagnetic clusters: Large-scale exact diagonalization results

被引：110

作者：

Laeuchli, Andreas M. ^{[1
,2
]}

Sudan, Julien ^{[3
]}

Sorensen, Erik S. ^{[4
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria

[3] Inst Romand Rech Numer Phys Mat IRRMA, CH-1015 Lausanne, Switzerland

[4] McMaster Univ, Dept Phys & Astron, Hamilton, ON L8S 4M1, Canada

来源：

PHYSICAL REVIEW B | 2011年 / 83卷 / 21期

基金：

加拿大自然科学与工程研究理事会;

关键词：

LATTICE; EXCITATIONS; DISORDER; ORDER;

D O I：

10.1103/PhysRevB.83.212401

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a comprehensive list of the ground-state energies and the spin gaps of finite Kagome clusters with up to 42 spins obtained using large-scale exact diagonalization techniques. This represents the current limit of this exact approach. For a fixed number of spins N, we study several cluster shapes under periodic boundary conditions in both directions resulting in a toroidal geometry. The clusters are characterized by their side length and diagonal as well as the shortest "Manhattan" diameter of the torii. A finite-size scaling analysis of the ground-state energy as well as the spin gap is then performed in terms of the shortest toroidal diameter as well as the shortest "Manhattan" diameter. The structure of the spin-spin correlations further supports the importance of short loops wrapping around the torii.

引用

页数：4

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