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arXiv 2404.04331cond-mat.str-elcond-mat.stat-mechhep-th
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临界费米面的二分涨落

Bipartite Fluctuations of Critical Fermi Surfaces

Xiao-Chuan Wu

AI总结:

本文研究朗道费米液体到电荷绝缘体转变中的二分电荷涨落,发现其前导标度从Llog(L)变为L,并在临界点识别出普适拐角贡献,建立了涨落-输运关系,为研究非常规量子临界性提供了新途径。

摘要:

子系统内守恒量的涨落是非局域观测量,为量子多体系统提供了独特的见解。在本文中,我们研究了从朗道费米液体出发,由相互作用驱动的“金属-绝缘体转变”中的二分电荷(和自旋)涨落。“电荷绝缘体”包括一类由分数化自由度构成的非费米液体态,例如可压缩的复合费米液体(针对无自旋电子)和不可压缩的自旋液体莫特绝缘体(针对自旋-1/2电子)。我们发现,电荷涨落F在转变过程中表现出不同的前导阶标度:在朗道费米液体中F~Llog(L),而在电荷绝缘体中F~L,其中L是子系统的线性尺寸。在复合费米液体中,在某些条件下,当子系统几何包含尖锐拐角时,我们还识别出一个普适常数项-f(θ)|σ_xy|/(2π),其中f(θ)表示拐角角的函数,σ_xy是霍尔电导率。在临界点,假设转变是连续的,前导标度F~L伴随一个次前导普适拐角贡献-log(L)f(θ)C_ρ/2,具有相同的角度依赖性f(θ),且普适系数C_ρ与预测的纵向和霍尔电阻率的普适跳变直接相关。这些结果建立了涨落-输运关系,为金属中非常规量子临界性的数值和实验研究铺平了道路。

英文摘要:

Fluctuations of conserved quantities within a subsystem are non-local observables that provide unique insights into quantum many-body systems. In this paper, we study bipartite charge (and spin) fluctuations across interaction-driven ``metal-insulator transitions'' out of Landau Fermi liquids. The ``charge insulators'' include a class of non-Fermi-liquid states of fractionalized degrees of freedom, such as compressible composite Fermi liquids (for spinless electrons) and incompressible spin-liquid Mott insulators (for spin-$1/2$ electrons). We find that charge fluctuations $F$ exhibit distinct leading-order scalings across the transition: $F \sim L\log(L)$ in Landau Fermi liquids and $F \sim L$ in charge insulators, where $L$ is the linear size of the subsystem. In composite Fermi liquids, under certain conditions, we also identify a universal constant term $-f(θ)|σ_{xy}|/(2π)$ when the subsystem geometry contains a sharp corner, where $f(θ)$ denotes a function of the corner angle, and $σ_{xy}$ is the Hall conductivity. At the critical point, provided the transition is continuous, the leading scaling $F\sim L$ is accompanied by a subleading universal corner contribution $-\log(L)f(θ)C_ρ/2$ with the same angle dependence $f(θ)$, and the universal coefficient $C_ρ$ is directly related to the predicted universal jumps in longitudinal and Hall resistivities. These results establish fluctuation-transport relations, paving the way for numerical and experimental studies of unconventional quantum criticalities in metals.

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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