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arXiv 2507.08035cond-mat.mes-hallquant-ph
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非线性电磁响应的量子理论

Quantum theory of nonlinear electromagnetic response

Anwei Zhang, C. M. Wang

AI总结:

本文利用松原格林函数方法建立了统一处理电场和磁场非线性响应的量子理论框架,推导了二阶非线性霍尔效应,并揭示了量子几何量与塞曼相互作用的贡献。

摘要:

近年来,非线性电磁响应的研究因其在阐明物质量子性质方面的潜力而受到广泛关注。尽管在发展电场非线性响应的量子理论方面已取得显著进展,但一个系统性地处理电场和磁场非线性响应的全面量子理论框架尚未得到深入讨论。在此,我们利用松原格林函数方法,提出一个系统的非线性电磁响应量子理论,该方法明确纳入了外电磁场的波矢依赖。我们给出了图形化表示,并揭示了输运系数的一般性质。我们将该理论应用于二阶响应,推导了时间反演对称和时间反演破缺体系中的非线性霍尔效应与磁非线性霍尔效应。这些效应源于多种量子几何量。此外,我们分析了塞曼相互作用带来的贡献。我们的工作提出了一个统一的非线性电磁响应量子理论,为进一步探索该领域的新现象铺平了道路。

英文摘要:

In recent years, the investigation of nonlinear electromagnetic responses has received significant attention due to its potential for elucidating the quantum properties of matter. Although remarkable progress has been achieved in developing quantum theories of nonlinear responses to electric field, a comprehensive quantum theory framework that systematically addresses nonlinear responses to both electric and magnetic fields has yet to be thoroughly discussed. Here, we present a systematic quantum theory of nonlinear electromagnetic response using the Matsubara Green's function approach, which explicitly incorporates the wave vector dependence of external electromagnetic fields. We provide diagrammatic representation and reveal the general properties of transport coefficients. We apply our theory to second-order responses, deriving the nonlinear Hall effects and magneto-nonlinear Hall effects in both time-reversal symmetric and time-reversal breaking systems. These effects stem from diverse quantum geometric quantities. Additionally, we analyze the contributions arising from the Zeeman interaction. Our work presents a unified quantum theory of nonlinear electromagnetic response, paving the way for further exploration of novel phenomena in this field.

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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