Odd-frequency pairing inherent in Bogoliubov Fermi liquid

Abstract

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 non-ideal 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.

arXiv comment13 pages, 7 figures

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• Impurity effect on Bogoliubov Fermi surfaces: Analysis based on iron-based superconductors
• Lifting of gap nodes by disorder in ultranodal superconductor candidate FeSe1-xSx
• Pairing properties of an odd-frequency superfluid Fermi gas
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry
• Novel dynamical excitations and roton-based measurement of Cooper-pair momentum in a two-dimensional Fulde-Ferrell-Larkin-Ovchinnikov superfluid on optical lattices
• Evolution and Instability of Bogoliubov Fermi Surfaces under Zeeman Field
• Thermoelectric effect in a superconductor with Bogoliubov Fermi surfaces