Quasiparticle on Bogoliubov Fermi Surface and Odd-Frequency Cooper Pair

Abstract

We discuss a close relationship between a quasiparticle on the Bogoliubov Fermi surface and an odd-frequency Cooper pair in a superconductor in which a Cooper pair consisting of two j=3/2 electrons forms the pseudospin-quintet even-parity pair potential with breaking time-reversal symmetry. It has been established in a single-band superconductor that a low-energy quasiparticle below the superconducting gap accompanies an odd-frequency Cooper pair. In this paper, we show that an odd-frequency pair characterized by chirality coexists with a quasiparticle on the Bogoliubov Fermi surface. The symmetry of odd-frequency Cooper pairs is analyzed in detail by taking realistic pair potentials into account in a cubic superconductor.

6 pages, 1 figure

References in corpus (9)

• Theory of the proximity effect in junctions with unconventional superconductors
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Majorana Fermions and Odd-frequency Cooper Pairs in a Nano Wire
• Evidence for broken time-reversal symmetry in the superconducting phase of URu${}_2$Si${}_2$
• Anomalous Josephson effect in p-wave dirty junctions
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals
• Electronic correlations stabilizing time-reversal broken chiral superconductivity in single-trilayer TiSe${}_2$
• Consequences of bulk odd-frequency superconducting states for the classification of Cooper pairs