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arXiv 2602.16774cond-mat.str-elcond-mat.mes-hallcond-mat.quant-gasquant-ph
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二维费米液体中奇异的三点密度相关性

Singular three-point density correlations in two-dimensional Fermi liquids

Princeton Center for Theoretical Science, Princeton University(普林斯顿大学理论科学中心);Department of Physics and Astronomy, University of Pennsylvania(宾夕法尼亚大学物理与天文学系)

Pok Man Tam, Charles L. Kane

AI总结:

研究二维费米液体中三点密度相关性的奇异性质,揭示其与费米海欧拉特征数的关系,并探讨其在量子气体实验中的应用。

摘要:

我们characterize了在等时三点密度相关性中出现的奇异性质,这种性质在二维相互作用费米液体中是普遍存在的。在动量空间中,三点相关性由两个动量$\mathbf{q}_1$和$\mathbf{q}_2$决定,奇异性质表现为$|\mathbf{q}_1\times\mathbf{q}_2|$。我们解释了在长波长共线极限下,这种奇异性质如何被清晰地定义。对于非相互作用费米气体,这种奇异性质的系数由费米海的量化欧拉特征数给出,并暗示了长程空间相关性倾向于共线配置。我们展示了这种奇异性质在相互作用费米液体中仍然存在,并以Landau参数表示奇异性质系数的重整化,适用于无自旋和有自旋的费米液体。讨论了对量子气体实验的意义。

英文摘要:

We characterize a singularity in the equal-time three-point density correlations that is generic to two-dimensional interacting Fermi liquids. In momentum space where the three-point correlation is determined by two wavevectors $\mathbf{q}_1$ and $\mathbf{q}_2$, the singularity takes the form $|\mathbf{q}_1\times\mathbf{q}_2|$. We explain how this singularity is sharply defined in a long-wavelength collinear limit. For a non-interacting Fermi gas, the coefficient of this singularity is given by the quantized Euler characteristic of the Fermi sea, and it implies a long-range real space correlation favoring collinear configurations. We show that this singularity persists in interacting Fermi liquids, and express the renormalization of the coefficient of singularity in terms of Landau parameters, for both spinless and spinful Fermi liquids. Implications for quantum gas experiments are discussed.

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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