在 (非常) 强烈相关的拓绝缘体中,边缘模式的纠
Nisa Ara1,2, Rudranil Basu1,2, Emil Mathew1,2
1Department of Physics, Birla Institute of Technology and Science Pilani, Zuarinagar, Goa 403726, India.
概括
纠,特别是边缘纠,有效地识别了强烈相关的系统中的拓相. 这种量子信息方法揭示了哈伯德相互作用如何改变纠,但边缘纠在拓阶段仍然受到保护.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子信息理论 量子信息理论
- 关于物质的拓阶段
背景情况:
- 在强烈相关理论中识别拓阶段是具有挑战性的,因为在定义像贝里阶段这样的常规顺序参数方面存在困难.
- 量子信息理论提供了一个强大的框架,用于用纠度量来描述拓相.
- 苏-施里弗-希格 (Su-Schrieffer-Heeger,简称SSH) 模型是研究凝聚物质系统中拓相的一个基本模型.
研究的目的:
- 在合的SSH模型中研究卷作为拓相的顺序参数.
- 探索哈伯德相互作用对纠性质的影响,特别是边缘纠.
- 分析自由和强烈相互作用的系统中的纠行为.
主要方法:
- 使用了分析计算和密度矩阵重规范化组 (DMRG) 数值研究.
- 用对称度解决的纠被计算出来,以分析纠分布.
- 边缘模式的纠被特别研究在不同的哈巴德相互作用强度下.
主要成果:
- 在没有相互作用的情况下,边缘纠作为一个强大的顺序参数,由分析和DMRG结果支持.
- 通过对称度解决的纠在边缘显示了等分,进一步证实了其作为顺序参数的作用.
- 引入哈巴德相互作用会导致边缘纠的突然减少,这是由于退化的子空间大小的变化.
- 即使在极强的相互作用中,当散量状态接近张量产物状态时,边缘纠仍然受到保护并存活.
结论:
- 纠,特别是边缘纠及其对称性解决性质,为识别相关系中的拓相提供了一个可行的顺序参数.
- 哈巴德相互作用显著改变纠结构,但不会破坏边缘纠的拓保护.
- 该研究强调了量子信息测量在理解交互系统中复杂的拓现象方面的有用性.
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