Family of spin-S chain representations of SU(2)k Wess-Zumino-Witten models

被引：32

作者：

Thomale, Ronny ^{[1
]}

Rachel, Stephan ^{[2
]}

Schmitteckert, Peter ^{[3
,4
]}

Greiter, Martin ^{[5
]}

机构：

[1] Stanford Univ, Dept Phys, Stanford, CA 94305 USA

[2] Yale Univ, Dept Phys, New Haven, CT 06520 USA

[3] KIT, Inst Nanotechnol, D-76344 Eggenstein Leopoldshafen, Germany

[4] KIT, D-76128 Karlsruhe, Germany

[5] Karlsruhe Inst Technol, Inst Festskorperphys, D-76021 Karlsruhe, Germany

来源：

PHYSICAL REVIEW B | 2012年 / 85卷 / 19期

关键词：

ISOTROPIC HEISENBERG CHAIN; RESONATING-VALENCE-BOND; QUANTUM HALL STATES; ARBITRARY SPINS; FIELD-THEORY; EXCITATIONS; DIMENSIONS; SYMMETRY;

D O I：

10.1103/PhysRevB.85.195149

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We investigate a family of spin-S chain Hamiltonians recently introduced by one of us [Greiter, Mapping of Parent Hamiltonians, Springer Tracts in Modern Physics, Vol. 244 (Springer, Berlin, 2011)]. For S = 1/2, it corresponds to the Haldane-Shastry model. For general spin S, we find indication that the low-energy theory of these spin chains is described by the SU(2)(k) Wess-Zumino-Witten model with coupling k = 2S. In particular, we investigate the S = 1 model whose ground state is given by a Pfaffian for even number of sites N. We reconcile aspects of the spectrum of the Hamiltonian for arbitrary N with trial states obtained by Schwinger projection of two Haldane-Shastry chains.

引用

页数：4

共 29 条

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