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.

arXiv comment20 pages, 7 figures

References in corpus (82)

• Odd Triplet Superconductivity and Related Phenomena in Superconductor-Ferromagnet Structures
• Symmetry and Topology in Non-Hermitian Physics
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Biorthogonal Quantum Mechanics
• Interior Gap Superfluidity
• Theory of the proximity effect in junctions with unconventional superconductors
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Odd-frequency superconductivity
• Odd-frequency pairing in normal metal/superconductor junctions
• Properties of Odd Gap Superconductors
• Indications of Unconventional Superconductivity in Doped and Undoped Triangular Antiferromagnets
• Exotic Superconducting States in FeSe-based Materials
• Bogoliubov Fermi surfaces: General theory, magnetic order, and topology
• Possible Realization of Odd Frequency Pairing in Heavy Fermion Compounds
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Realization of odd-frequency p-wave spin-singlet superconductivity coexisting with antiferromagnetic order near quantum critical point
• Exact Results for 1D Kondo Lattice from Bosonization
• Pairing symmetry conversion by spin-active interfaces in superconducting junctions
• Highly Anisotropic Superconducting Gap in Nematically Ordered and Tetragonal Phases of FeSe${}_{1-x}$S${}_x$
• Odd-frequency superconducting pairing in one-dimensional systems
• Theory of Majorana zero modes in unconventional superconductors
• Superconducting proximity effect in three-dimensional topological insulators in the presence of a magnetic field
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• On stability of odd-frequency superconducting state
• On the Puzzle of Odd-Frequency Superconductivity
• Zeeman-Induced Gapless Superconductivity with Partial Fermi Surface
• Phase Diagram of the Two-Channel Kondo Lattice
• Topological Ultranodal pair states in iron-based superconductors
• Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
• Properties of spin-triplet, even-parity superconductors
• Superconductivity of Composite Particles in Two-Channel Kondo Lattice
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Odd-frequency Superconductivity on a Quasi-one-dimensional Triangular Lattice in the Hubbard Model
• On the Thermodynamic Stability of Odd-Frequency Superconductors
• d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
• Experimental consequences of Bogoliubov Fermi surfaces
• Exceeding the Landau superflow speed limit with topological Bogoliubov Fermi surfaces
• Bogoliubov-Fermi Surfaces in Noncentrosymmetric Multicomponent Superconductors
• Breached Superfluidity via P-Wave Coupling
• Bogoliubov Fermi surfaces stabilized by spin-orbit coupling
• Bogoliubov Fermi Surfaces in Spin-1/2 Systems: Model Hamiltonians and Experimental Consequences
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Competing d-Wave and p-Wave Spin-Singlet Superconductivities in the Two-Dimensional Kondo Lattice
• A solvable 3D Kondo lattice exhibiting odd-frequency pairing and order fractionalization
• Mean-field description of odd-frequency superconductivity with staggered ordering vector
• Superconductivity in spin-$3/2$ systems: symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces
• Realization of Berezinskii's superconductivity in quasi-one-dimensional systems
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Thermodynamics of transition to BCS-BEC crossover superconductivity in FeSe${}_{1-x}$S${}_x$
• Double-Exchange Ferromagnetism and Orbital-Fluctuation-Induced Superconductivity in Cubic Uranium Compounds
• Quantum-geometry-induced anapole superconductivity
• Coexistence of Even- and Odd-Frequency Superconductivities Under Broken Time-Reversal Symmetry
• Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
• Fractionalized Fermi Liquid in a Kondo-Heisenberg Model
• Symmetry, nodal structure, and Bogoliubov Fermi surfaces for nonlocal pairing
• Instability of $j=3/2$ Bogoliubov Fermi-surfaces
• Electronic multipoles and multiplet pairs induced from Pomeranchuk and Cooper instabilities of Bogoliubov Fermi surfaces
• Strong-Coupling Superconductivity with Mixed Even- and Odd-Frequency Pairing
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Generalization of spectral bulk-boundary correspondence
• Composite spin and orbital triplet superconductivity formed out of a Non-Fermi Liquid phase
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Emergent Odd-Frequency Superconducting Order Parameter near Boundaries in Unconventional Superconductors
• Odd-frequency pairing inherent in Bogoliubov Fermi liquid
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Dimensional Reduction and Odd-Frequency Pairing of the Checkerboard-Lattice Hubbard Model at 1/4-Filling
• Superconductor-Metal Transition in Odd-Frequency Paired Superconductor in Magnetic Field
• Bogoliubov-Fermi surface with inversion symmetry and electron-electron interactions: relativistic analogies and lattice theory
• Distortional weak-coupling instability of Bogoliubov Fermi surfaces
• Bogoliubov Fermi surfaces from pairing of emergent $j=3/2$ fermions on the pyrochlore lattice
• Quasiparticle on Bogoliubov Fermi Surface and Odd-Frequency Cooper Pair
• Unconventional full-gap superconductivity in Kondo lattice with semi-metallic conduction bands
• Odd-frequency superconductivity in dilute magnetic superconductors
• Generation of odd-frequency surface superconductivity with spontaneous spin current due to the zero-energy Andreev bound state
• Nematic Bogoliubov Fermi surfaces from magnetic toroidal order in FeSe${}_{1-x}$S${}_x$
• 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
• Fluctuation-induced odd-frequency spin-triplet pairing in disordered electron liquid
• $\eta$-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