The quantum symmetric XXZ chain at Δ=-1/2, alternating-sign matrices and plane partitions

被引：105

作者：

Batchelor, MT ^{[1
]}

de Gier, J

Nienhuis, B

机构：

[1] Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia

[2] Univ Amsterdam, Inst Theoret Phys, NL-1018 XE Amsterdam, Netherlands

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 19期

关键词：

D O I：

10.1088/0305-4470/34/19/101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the ground-state wavefunction of the quantum symmetric antiferromagnetic XXZ chain with open and twisted boundary conditions at Delta = -1/2, along with the ground-state wavefunction of the corresponding O(n) loop model at n = 1. Based on exact results for finite-size systems, sums involving the wavefunction components, and in some cases the largest component itself, are conjectured to be directly related to the total number of alternating-sign matrices and plane partitions in certain symmetry classes.

引用

页码：L265 / L270

页数：6

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