The disorder and interaction effects on Bogoliubov-Fermi surfaces with preserved inversion symmetry are studied for a low-energy effective model coupled to bosonic degrees of freedom. It is shown that the nonideal Bogoliubov quasiparticles (bogolons) generically induce the odd-frequency pair amplitude which reflects a Cooper pairing at different time. The self-energy of bogolons is mainly contributed by the disorder effects in the low frequency limit as in the usual electron liquid. Depending on the choice of the parameters, there are two kinds of solutions: One is frequency independent (but with sign function of frequency) and the other is proportional to the inverse of the frequency, which exist in both the normal and anomalous parts of the self-energy. These characteristic self-energy structures are clearly reflected in the single-particle spectrum. Since the bogolons are originally composed of electrons, the connection between the two is also sought using the concrete $j=3/2$ fermion model, which reveals that the odd-frequency pairing of bogolons is mainly made of the electrons' odd-frequency pairing.

中文翻译：

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Bogoliubov 费米液体中固有的奇频配对

对于耦合到玻色子自由度的低能量有效模型，研究了具有保留反演对称性的 Bogoliubov-Fermi 表面的无序和相互作用效应。结果表明，非理想的 Bogoliubov 准粒子（bogolons）一般会引起奇频率对振幅，这反映了不同时间的 Cooper 配对。bogolons 的自能主要是由在通常的电子液体中的低频极限中的无序效应贡献的。根据参数的选择，有两种解决方案：一种是与频率无关的（但具有频率的符号函数），另一种与频率的倒数成正比，存在于正常部分和异常部分。自能。这些特征性的自能结构清楚地反映在单粒子光谱中。由于 bogolons 最初由电子组成，因此也使用混凝土来寻求两者之间的联系$j=3/2$ 费米子模型揭示了bogolon的奇频配对主要由电子的奇频配对构成。