论文标题

多组分超级流体中的超流体密度,约瑟夫森的关系和配对波动

Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid

论文作者

Zhang, Yi-Cai

论文摘要

在这项工作中,约瑟夫森的关系被推广到多组分费米恩超流体。超流体密度通过用于配对通道的两粒子绿色函数表达。当系统只有一个无间隙的集体激发模式时,约瑟夫森的关系将被简化,这是根据顺序参数和两粒子绿色函数的痕迹给出的。在存在反转对称性的情况下,超流体密度与配对波动矩阵的倒数直接相关。 Haldane模型中的超流体密度的结果表明,总体化的约瑟夫森关系也可以应用于晶格中的多频段费米昂超流体。

In this work, a Josephson relation is generalized to a multi-component fermion superfluid. Superfluid density is expressed through a two-particle Green function for pairing channels. When the system has only one gapless collective excitation mode, the Josephson relation is simplified, which is given in terms of the order parameters and the trace of two-particle Green functions. In the presence of inversion symmetry, the superfluid density is directly related to the inverse of pairing fluctuation matrix. The results of the superfluid density in Haldane model show that the generalized Josephson relation can be also applied into a multi-band fermion superfluid in lattice.

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