无序对一阶量子相变的圆整化:量子临界点的涌现
无序系统与神经网络
2008-01-08 v2 统计力学
摘要
我们提出了一个启发式论证,说明无序如何将一阶量子相变圆整化为连续相变。通过对空间一维 N 色量子 Ashkin-Teller 模型的弱无序和强无序分析,我们发现对于 ,一阶相变被圆整化为连续相变,且在有限的参数范围内,其物理图像与随机横向场 Ising 模型相同。这一结果与二维对应的经典问题截然不同,在后者中重整化群流的归宿是一个对应于 N 个解耦纯 Ising 模型的不动点。
引用
@article{arxiv.0708.2917,
title = {Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points},
author = {Pallab Goswami and David Schwab and Sudip Chakravarty},
journal= {arXiv preprint arXiv:0708.2917},
year = {2008}
}
备注
Title is modified as requested by the PRL editor, minor stylistic changes, typos corrected, and a few new references added. It is published in PRL