Quantum crystals and spin chains

被引：18
|
作者：
Dijkgraaf, Robbert [1 ,2 ]
Orlando, Domenico [3 ]
Reffert, Susanne [1 ]
机构：
[1] Univ Amsterdam, Inst Theoret Phys, NL-1018 XE Amsterdam, Netherlands
[2] Univ Amsterdam, KdV Inst Math, NL-1018 TV Amsterdam, Netherlands
[3] Univ Neuchatel, Inst Phys, CH-2000 Neuchatel, Switzerland
来源：
NUCLEAR PHYSICS B | 2009年 / 811卷 / 03期
关键词：
XXZ CHAIN; MECHANICS;
D O I：
10.1016/j.nuclphysb.2008.11.027
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：
In this article, we discuss the quantum version of the melting crystal corner in one, two, and three dimensions, generalizing the treatment for the quantum dimer model. Using a mapping to spin chains we find that the two-dimensional case (growth of random partitions) is integrable and leads directly to the Hamiltonian of the Heisenberg XXZ ferromagnet. The three-dimensional case of the melting crystal corner is described in terms of a system of Coupled XXZ spin chains. We give a conjecture for its mass gap and analyze the system numerically. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：463 / 490
页数：28
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