Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group

被引：158

作者：

Barthel, Thomas ^{[1
,2
]}

Schollwoeck, Ulrich ^{[3
,4
]}

White, Steven R. ^{[5
]}

机构：

[1] Rhein Westfal TH Aachen, Inst Theoret Phys C, D-52056 Aachen, Germany

[2] Univ Potsdam, Inst Phys & Astron, D-14476 Potsdam, Germany

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

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

[5] Univ Calif Irvine, Dept Phys & Astron, Irvine, CA 92697 USA

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 24期

关键词：

MONTE-CARLO SIMULATIONS; MAXIMUM-ENTROPY; SPIN SYSTEMS; CHAINS; THERMODYNAMICS;

D O I：

10.1103/PhysRevB.79.245101

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present time-dependent density matrix renormalization group simulations (t-DMRG) at finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and time-series prediction allows for an easy and very accurate calculation of spectral functions in one-dimensional quantum systems, irrespective of their statistics for arbitrary temperatures. This is illustrated with spin structure factors of XX and XXX spin-1/2 chains. For the XX model we can compare against an exact solution, and for the XXX model (Heisenberg antiferromagnet) against a Bethe ansatz solution and quantum Monte Carlo data.

引用

页数：6

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