Exactly solvable DN-type quantum spin models with long-range interaction

被引：22

作者：

Basu-Mallick, B. ^{[2
]}

Finkel, F. ^{[1
]}

Gonzalez-Lopez, A. ^{[1
]}

机构：

[1] Univ Complutense, Dept Fis Teor 2, E-28040 Madrid, Spain

[2] Saha Inst Nucl Phys, Theory Grp, Kolkata 700064, W Bengal, India

来源：

NUCLEAR PHYSICS B | 2009年 / 812卷 / 03期

关键词：

Exactly solvable quantum spin models; Partition function; Quantum chaos; CALOGERO-SUTHERLAND MODEL; INVERSE-SQUARE EXCHANGE; HALDANE-SHASTRY TYPE; TRANSMISSION EIGENVALUES; INTEGRABLE SYSTEMS; PARTITION-FUNCTION; YANGIAN SYMMETRY; EXACT SPECTRUM; BCN TYPE; CHAIN;

D O I：

10.1016/j.nuclphysb.2008.11.006

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We derive the spectra of the D-N-type Calogero (rational) su(m) spin model, including the degeneracy factors of all energy levels. By taking the strong coupling limit of this model, in which its spin and dynamical degrees of freedom decouple, we compute the exact partition function of the su(m) Polychronakos-Frahm spin chain of D-N type. In particular, we show that this partition function cannot be obtained as a limiting case of its BCN counterpart. With the help of the partition function we study several statistical properties of the chain's spectrum, such as the density of energy levels and the distribution of spacings between consecutive levels. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：402 / 423

页数：22

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