Odd-frequency Superconductivity in Driven Systems

Abstract

We show that Berezinskii's classification of the symmetries of Cooper pair amplitudes holds for driven systems even in the absence of translation invariance. We then consider a model Hamiltonian for a superconductor coupled to an external driving potential and, treating the driving potential as a perturbation, we investigate the corrections to the anomalous Green's function, density of states, and spectral function. We find that in the presence of an external drive the anomalous Green's function develops terms that are odd in frequency and that the same mechanism responsible for these odd-frequency terms generates additional features in the density of states and spectral function.

10 pages, 3 figures

References in corpus (9)

• Theory of the proximity effect in junctions with unconventional superconductors
• Odd-frequency pairing in normal metal/superconductor junctions
• Signature of magnetic-dependent gapless odd frequency states at superconductor/ferromagnet interfaces
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Pairing symmetry conversion by spin-active interfaces in superconducting junctions
• On stability of odd-frequency superconducting state
• The role of interface transparency and spin-dependent scattering in diffusive ferromagnet/superconductor heterostructures
• General conditions for proximity-induced odd-frequency superconductivity in two-dimensional electronic systems
• Unconventional proximity-induced superconductivity in bilayer systems

Cited by in corpus (32)

• Odd-frequency superconductivity
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Odd-frequency superconducting pairing in one-dimensional systems
• Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Odd-frequency superconductivity in Sr${}_2$RuO${}_4$ measured by Kerr rotation
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Exceptional odd-frequency pairing in non-Hermitian superconducting systems
• Odd-frequency pairing and Kerr effect in the heavy-fermion superconductor UPt${}_3$
• Superconductivity in spin-$3/2$ systems: symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces
• Magnetoelectric Andreev effect due to proximity-induced non-unitary triplet superconductivity in helical metals
• Odd-frequency superconducting pairing in Kitaev-based junctions
• Floquet engineering bulk odd-frequency superconducting pairs
• Multiple odd-frequency superconducting states in buckled quantum spin Hall insulators with time-reversal symmetry
• Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals
• Pair symmetry conversion in driven multiband superconductors
• Finite bulk Josephson currents and chirality blockade removal from inter-orbital pairing in magnetic Weyl semimetals
• Odd-frequency Berezinskii superconductivity in Dirac semimetals
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Exciting odd frequency equal-spin-triplet correlations at metal-superconductor interfaces
• Symmetry analysis of odd- and even-frequency superconducting gap symmetries for time-reversal symmetric interactions
• Odd-frequency superconductivity induced by non-magnetic impurities
• Odd-frequency pairing in a superconductor coupled to two parallel nanowires
• Spectroscopic and optical response of odd-frequency superconductors
• Probing the magnetoelectric effect in noncentrosymmetric superconductors by equal-spin Andreev tunneling
• Pairing properties of an odd-frequency superfluid Fermi gas
• Engineering Frequency-dependent Superfluidity in Bose-Fermi Mixtures
• Appearance of Odd-Frequency Superconductivity in a Relativistic Scenario
• Surface induced odd-frequency spin-triplet superconductivity as a veritable signature of Majorana bound states
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry
• Decoding the drive-bath interplay: A guideline to enhance superconductivity
• Identification of odd-frequency superconducting pairing in Josephson junctions