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arXiv 2303.03356cond-mat.str-el
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过屏蔽近藤晶格中的动态质量生成与拓扑序

Dynamic mass generation and topological order in overscreened Kondo lattices

Yang Ge, Yashar Komijani

AI总结:

本文利用动力学大-$N$方法研究蜂窝晶格多通道近藤模型,发现低温下并非普遍发生通道对称性破缺,而是存在2+1维共形不变不动点;在破缺时间反演对称性后识别出三个相,其中近藤耦合手征自旋液体相被论证为具有任意子激发的分数陈绝缘体。

摘要:

多通道近藤晶格模型是强关联电子体系的典型例子,由于存在连续的通道对称性而表现出非费米液体行为。平均场分析曾预言这些体系在低温下会发生通道对称性破缺。我们利用动力学大-$N$技术研究蜂窝晶格上多通道近藤模型的时间与空间涨落,发现这一预言并非普遍成立。相反,我们发现了一个2+1维共形不变不动点,其临界指数通过数值方法确定。当我们通过向传导电子添加Haldane质量来破缺时间反演对称性时,可以辨别出三个由连续相变分隔的相:一个以动态质量生成和通道对称性自发破缺为特征,一个在其中拓扑缺陷恢复通道对称性但保持能隙,以及一个具有近藤耦合手征自旋液体的相。我们认为最后一个相是具有任意子激发的分数陈绝缘体。

英文摘要:

Multichannel Kondo lattice models are examples of strongly correlated electronic systems that exhibit non-Fermi-liquid behavior due to the presence of a continuous channel symmetry. Mean-field analyses have predicted that these systems undergo channel symmetry breaking at low temperature. We use the dynamical large-$N$ technique to study temporal and spatial fluctuations of the multichannel Kondo model on a honeycomb lattice and find that this prediction is not generally true. Rather, we find a 2+1D conformally invariant fixed point, governed by critical exponents that are found numerically. When we break time-reversal symmetry by adding a Haldane mass to the conduction electrons, three phases, separated by continuous transitions, are discernible: one characterized by dynamic mass generation and spontaneous breaking of the channel symmetry, one where topological defects restore channel symmetry but preserve the gap, and one with a Kondo-coupled chiral spin liquid. We argue that the last phase is a fractional Chern insulator with anyonic excitations.

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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