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arXiv 2008.05501cond-mat.mes-hallquant-ph
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杂质诱导的无标度局域化

Impurity induced scale-free localization

Linhu Li, Ching Hua Lee, Jiangbin Gong

摘要:

这项工作开发了一个完整的框架,非厄米杂质物理在非倒易晶格,PBCs,OBCs,甚至他们的插值是特殊情况下,在整个范围内的边界杂质强度。随着杂质强度的调整,定态的局域化可以呈现非常丰富的行为,包括预期的非厄米趋肤效应,布洛赫样态,尽管打破了平移不变性,令人惊讶的是,无标度积累沿或甚至对非互易性的方向。我们进一步揭示了非厄米趋肤效应和无标度局域化共存的可能性,其中系统光谱的定性方面对杂质强度非常敏感。我们还提出了具体的电路设置实验检测的无标度积累,模拟结果证实了我们的主要发现。

英文摘要:

This work develops a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with PBCs, OBCs and even their interpolations being special cases across a whole range of boundary impurity strengths. As the impurity strength is tuned, the localization of steady states can assume very rich behavior, including the expected non-Hermitian skin effect, Bloch-like states albeit broken translational invariance, and surprisingly, scale-free accumulation along or even against the direction of non-reciprocity. We further uncover the possibility of the co-existence of non-Hermitian skin effect and scale-free localization, where qualitative aspects of the system's spectrum can be extremely sensitive to impurity strength. We have also proposed specific circuit setups for experimental detection of the scale-free accumulation, with simulation results confirming our main findings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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