A numerical exact solution of the Bose-Hubbard model

A numerical exact solution of the Bose-Hubbard model
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Bose-Hubbard 模型的数值精确解

DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
H. Monien
H. Monien
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文献类型:
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作者:
N. Elstner;H. Monien

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物理学研究所,波恩大学,Nusallee 12,D-53115波恩,德国(2008年2月1日)在本文中,我们报告的结果,从一个系统的强耦合扩展的玻色-Hubbard模型在一个和两个空间维度。我们得到了Mott绝缘体中单粒子和单空穴激发的结构因子和谱的数值精确结果。这使得零温相图的确定和Mott波瓣的临界端点的位置。在一维中,我们确认了在接近临界点的区域中从可压缩相到绝缘相的再进入行为的发生。PACS编号:05.30.Jp,05.70.Jk,67.40.DbI。介绍
Physikalisches Institut, Universit¨at Bonn, Nusallee 12, D-53115 Bonn, Germany(February 1, 2008)In this paper we report results from a systematic strong-coupling expansion of the Bose-Hubbardmodel in one and two spatial dimensions. We obtain numerically exact results for the structurefactor and the spectrum of single particle and single hole excitations in the Mott insulator. Thisenables the determination of the zero-temperature phase diagram and the location of the criticalendpoints of the Mott lobes. In one dimension we confirm the occurrence of reentrance behaviorfrom the compressible to the insulating phase in a region close to the critical point.PACS numbers: 05.30.Jp, 05.70.Jk, 67.40.DbI. INTRODUCTION