Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction

Abstract

We study a superconductor Josephson junction with a Bogoliubov Fermi surface, employing McMillan's Green's function technique. The low-energy degrees of freedom are described by spinless fermions (bogolons), where the characteristic feature appears as an odd-frequency pair potential. The differential equation of the Green's function is reduced to the eigenvalue problem of the non-Hermitian effective Hamiltonian. The physical quantities such as the density of states and pair amplitude are then extracted from the obtained Green's function. We find that the zero energy local density of states at the interface decreases as the relative phase of the Josephson junction increases. This decrease is accompanied by the generation of an even-frequency pair amplitude near the interface. We also clarify that the $\pi$-junction-like current phase relation is realized in terms of bogolons. In contrast to conventional $s$-wave superconductor junctions, where even-frequency pairs dominate in the bulk and odd-frequency pairs are generated near the interface, our findings illuminate the distinct behaviors of junctions with Bogoliubov Fermi surfaces. We further explore spatial dependences of these physical quantities systematically using quasiclassical Green's functions.

20 pages, 7 figures

References in corpus (39)

• Theory of the proximity effect in junctions with unconventional superconductors
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Odd-frequency pairing in normal metal/superconductor junctions
• Exotic Superconducting States in FeSe-based Materials
• Pairing symmetry conversion by spin-active interfaces in superconducting junctions
• Theory of Majorana zero modes in unconventional superconductors
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• On stability of odd-frequency superconducting state
• Breached Superfluidity via P-Wave Coupling
• Mean-field description of odd-frequency superconductivity with staggered ordering vector
• A solvable 3D Kondo lattice exhibiting odd-frequency pairing and order fractionalization
• Competing d-Wave and p-Wave Spin-Singlet Superconductivities in the Two-Dimensional Kondo Lattice
• Superconductivity in spin-$3/2$ systems: symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces
• Thermodynamics of transition to BCS-BEC crossover superconductivity in FeSe${}_{1-x}$S${}_x$
• Quantum-geometry-induced anapole superconductivity
• Coexistence of Even- and Odd-Frequency Superconductivities Under Broken Time-Reversal Symmetry
• Symmetry, nodal structure, and Bogoliubov Fermi surfaces for nonlocal pairing
• Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
• Electronic multipoles and multiplet pairs induced from Pomeranchuk and Cooper instabilities of Bogoliubov Fermi surfaces
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Strong-Coupling Superconductivity with Mixed Even- and Odd-Frequency Pairing
• Generalization of spectral bulk-boundary correspondence
• Odd-frequency pairing inherent in Bogoliubov Fermi liquid
• Emergent Odd-Frequency Superconducting Order Parameter near Boundaries in Unconventional Superconductors
• Dimensional Reduction and Odd-Frequency Pairing of the Checkerboard-Lattice Hubbard Model at 1/4-Filling
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Distortional weak-coupling instability of Bogoliubov Fermi surfaces
• Bogoliubov-Fermi surface with inversion symmetry and electron-electron interactions: relativistic analogies and lattice theory
• Quasiparticle on Bogoliubov Fermi Surface and Odd-Frequency Cooper Pair
• Bogoliubov Fermi surfaces from pairing of emergent $j=3/2$ fermions on the pyrochlore lattice
• Odd-frequency superconductivity in dilute magnetic superconductors
• Nematic Bogoliubov Fermi surfaces from magnetic toroidal order in FeSe${}_{1-x}$S${}_x$
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Microscopic origin of ultranodal superconducting states in spin-1/2 systems
• Impurity effect on Bogoliubov Fermi surfaces: Analysis based on iron-based superconductors
• Multipole representation for anisotropic Coulomb interactions
• Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field
• Pairing properties of an odd-frequency superfluid Fermi gas
• $\eta$-pairing on bipartite and non-bipartite lattices

Cited by in corpus (1)

• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces