拓扑与向列序 I：规范理论
凝聚态物理
2009-10-28 v2
摘要
我们从拓扑线缺陷行为的角度，考虑了向列相中各向同性与有序相之间的弱一级相变。针对一种新的向列体粗粒化晶格理论，我们给出了解析和 Monte Carlo 结果，该理论将向列反转对称性纳入为局域规范不变性。随着向错核心能量的增加，向列-各向同性相变变得更加微弱的一级相变，最终分裂为两个连续相变，分别涉及缺陷的解绑和凝聚。结果表明，这两个相变分别属于 Ising 和 Heisenberg 普适类。在它们之间出现了一种具有拓扑有序的新型各向同性相。
引用
@article{arxiv.cond-mat/9501101,
title = {Topology and Nematic Ordering I: A Gauge Theory},
author = {Paul E. Lammert and Daniel S. Rokhsar and John Toner},
journal= {arXiv preprint arXiv:cond-mat/9501101},
year = {2009}
}
备注
24 pages, uuencoded gzipped PostScript. This version is formatted for US letter size paper, so that it works well on American printers. Instructions for very minor editing are included to convert to European A4. (It will probably come out OK without that if you want to try)