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arXiv 2301.08685cond-mat.str-elcond-mat.mtrl-sci
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超越 Onsager 关系的掺杂 Mott 绝缘体中的量子振荡

Quantum oscillations in a doped Mott insulator beyond Onsager's relation

Valentin Leeb, Johannes Knolle

AI总结:

本文通过可精确求解的 Hatsugai-Kohmoto 模型研究掺杂 Mott 绝缘体,揭示 Landau 能级间相互作用导致非周期性 dHvA 量子振荡及非传统温度依赖。

摘要:

电子在磁场中的动能被淬灭,从而产生一组离散且高度简并的 Landau 能级(LL),这引发了 de Haas-van Alphen 效应(dHvAe)以及整数量子霍尔效应和分数量子霍尔效应等引人入胜的现象。后者源于相互作用部分解除给定 LL 内的简并,而 LL 间相互作用通常被认为并不重要。本文研究 Hatsugai-Kohmoto 模型的 LL 能谱,这是一个类 Hubbard 模型,由于具有无限程相互作用而可精确求解。对于磁场中的掺杂 Mott 绝缘体相,我们发现 LL 的简并性得到保留,但 LL 间相互作用十分重要,导致能谱发生非单调重构。因此,强烈的 LL 排斥使 dHvAe 出现非周期性量子振荡,这与 Onsager 将振荡频率同零磁场下 Fermi 面面积联系起来的著名关系形成对比。此外,我们还发现量子振荡具有非传统的温度依赖关系,以及由相互作用诱导的有效质量重整化。我们讨论了 LL 间相互作用对于理解磁场中掺杂 Mott 绝缘体的普遍重要性。

英文摘要:

The kinetic energy of electrons in a magnetic field is quenched resulting in a discrete set of highly degenerate Landau levels (LL) which gives rise to fascinating phenomena like the de Haas-van Alphen effect (dHvAe) or the integer and fractional quantum Hall effects. The latter is a result of interactions partially lifting the degeneracy within a given LL while inter-LL interactions are usually assumed to be unimportant. Here, we study the LL spectrum of the Hatsugai-Kohmoto model, a Hubbard-like model which is exactly soluble on account of infinite range interactions. For the doped Mott insulator phase in a magnetic field we find that the degeneracy of LLs is preserved but inter-LL interactions are important leading to a non-monotonous reconstruction of the spectrum. As a result, strong LL repulsion leads to aperiodic quantum oscillations of the dHvAe in contrast to Onsager's famous relation connecting oscillation frequencies with the Fermi surface areas at zero field. In addition, we find unconventional temperature dependencies of quantum oscillations and interaction-induced effective mass renormalizations. We discuss the general importance of inter-LL interactions for understanding doped Mott insulators in magnetic fields.

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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