次次近邻跃迁非厄米SSH模型上的纠缠熵与标度律

楚雄师范学院学报 ›› 2025, Vol. 40 ›› Issue (3): 35-43.

次次近邻跃迁非厄米SSH模型上的纠缠熵与标度律

杨正豪, 卢超泽, 卢仙聪^*

厦门大学物理科学与技术学院,福建厦门 361005

收稿日期:2025-01-17 出版日期:2025-05-20 发布日期:2025-07-01
通讯作者: *卢仙聪（1980–）,男,教授,博士生导师,研究方向为超导和拓扑物理。
作者简介:杨正豪（1998–）,男,硕士研究生,研究方向为拓扑物理。
基金资助:
国家自然科学基金项目（No. 11974293）

Entanglement Entropy and Scaling Laws on Non-Hermitian SSH Model with Next-next-nearest Hopping

YANG Zhenghao, LU Chaoze, LU Xiancong^*

College of Physical Science and Technology, Xiamen University, Xiamen, Fujian Province 361005

Received:2025-01-17 Online:2025-05-20 Published:2025-07-01

摘要/Abstract

摘要： 文章聚焦于具有长程次次近邻跃迁项的一维扩展非厄米Su-Schrieffer-Heeger（SSH）模型,对其纠缠熵及标度律展开研究。研究发现次次近邻跃迁项会诱导环绕数为2的拓扑相,拓扑相变的临界点也被分成不同的类别。在此基础上,研究计算了不同临界点处纠缠熵的标度行为,得到了相应的中心荷。此外,文章还研究了长程非厄米SSH模型的广义布里渊区,发现次次近邻项会导致能谱和广义布里渊区出现自相交现象。通过研究证实,即使广义布里渊区存在自相交部分,非厄米拓扑系统的体边对应关系依然能够恢复。

关键词: 纠缠熵, 广义布里渊区, 非厄米趋肤效应, 量子临界系统

Abstract: We studied the entanglement entropy and its scaling laws on the one-dimensional non-Hermitian Su-Schrieffer-Heeger model with long-range next-next-nearest hopping. The next-next-nearest hopping leads to the appearance of the topological phase with winding number 2, and the critical points on phase boundaries are also divided into different categories. Based on this, we calculated the central charge of these critical systems using the scaling laws of entanglement entropy. The study on the generalized Brillouin zone demonstrates the self-intersection phenomenon of both energy spectra and generalized Brillouin zones induced by the next-next-nearest hopping, and the results reveal that the bulk-boundary correspondence could still be restored.

Key words: entanglement entropy, generalized Brillouin zone, non-Hermitian skin effect, quantum critical system

中图分类号:

O413.3

杨正豪, 卢超泽, 卢仙聪. 次次近邻跃迁非厄米SSH模型上的纠缠熵与标度律[J]. 楚雄师范学院学报, 2025, 40(3): 35-43.

YANG Zhenghao, LU Chaoze, LU Xiancong. Entanglement Entropy and Scaling Laws on Non-Hermitian SSH Model with Next-next-nearest Hopping[J]. Journal of Chuxiong Normal University, 2025, 40(3): 35-43.