A note on the high temperature expansion of the density matrix for the isotropic Heisenberg chain

Zengo Tsuboi

Physica A: Statistical Mechanics and its Applications, 2007, vol. 377, issue 1, 95-101

Abstract: Göhmann, Klümper and Seel derived the multiple integral formula of the density matrix of the XXZ Heisenberg chain at finite temperatures. We have applied the high temperature expansion (HTE) method to isotropic case of their formula in a finite magnetic field and obtained coefficients for several short-range correlation functions. For example, we have succeeded to obtain the coefficients of the HTE of the third neighbor correlation function 〈σjzσj+3z〉 for zero magnetic field up to the order of 25. These results expand our previous results on the emptiness formation probability [Z. Tsuboi, M. Shiroishi, J. Phys. A: Math. Gen. 38 (2005) L363–L370, condmat/0502569.] to more general correlation functions.

Keywords: Correlation function; Density matrix; High temperature expansion; Nonlinear integral equation; Quantum transfer matrix (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437106011939
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:377:y:2007:i:1:p:95-101

DOI: 10.1016/j.physa.2006.11.018

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().