Wave function for odd frequency superconductors

Abstract

We revisit the question of nature of odd-frequency superconductors, first proposed by Berezinskii in 1974. \cite{berezinskii1974} We start with the notion that order parameter of odd-frequency superconductors can be thought of as a time derivative of the odd-time pairing operator. It leads to the notion of the composite boson condensate.\cite{abrahams1995} To elucidate the nature of broken symmetry state in odd-frequency superconductors, we consider a wave function that properly captures the coherent condensate of composite charge $2e$ bosons in an odd-frequency superconductor. We consider the Hamiltonian which describes the equal-time composite boson condensation as proposed earlier in Phys. Rev. B $\text{52}$, 1271 (1995). We propose a BCS-like wave function that describes a composite condensate comprised of a spin-0 Cooper pair and a spin-1 magnon excitation. We derive the quasiparticle dispersion, the self-consistent equation for the order parameter and the density of states. We show that the coherent wave function approach recovers all the known proposerties of odd-frequency superconductors: the quasi-particle excitations are gapless and the superconducting transition requires a critical coupling.

9 pages, 4 figures

References in corpus (4)

• Theory of the proximity effect in junctions with unconventional superconductors
• Odd-frequency pairing in normal metal/superconductor junctions
• Nesting, spin-fluctuations, and odd-gap superconductivity in NaxCoO2 yH2O
• Odd-frequency pairing in a binary mixture of bosonic and fermionic cold atoms

Cited by in corpus (22)

• Spin-polarized supercurrents for spintronics: a review of current progress
• Odd-frequency superconductivity
• Odd-frequency superconducting pairing in multi-band superconductors
• Proximity-induced unconventional superconductivity in topological insulators
• Odd-frequency superconducting pairing in topological insulators
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• Band hybridization induced odd-frequency pairing in multiband superconductors
• Superconductivity of Composite Particles in Two-Channel Kondo Lattice
• The Majorana STM as a perfect detector of odd-frequency superconductivity
• Mean-field description of odd-frequency superconductivity with staggered ordering vector
• Unconventional proximity-induced superconductivity in bilayer systems
• Odd-frequency Superconductivity Revealed by Thermopower
• Multiple odd-frequency superconducting states in buckled quantum spin Hall insulators with time-reversal symmetry
• Odd-frequency pairing in (TMTSF)2ClO4
• Probing vortex Majorana fermions and topology in semiconductor-superconductor heterostructures
• Electrically controllable spin filtering based on superconducting helical states
• Symmetry analysis of odd- and even-frequency superconducting gap symmetries for time-reversal symmetric interactions
• Odd-frequency Pairing in the Edge States of Superconducting Pnictides in the Coexistence Phase with Antiferromagnetism
• Superconducting Vortices in Half-Metals
• Superconducting Correlations in the One-Dimensional Kondo Lattice Models under Magnetic Fields
• On the Meissner Effect of the Odd-Frequency Superconductivity with Critical Spin Fluctuations: Possibility of Zero Field FFLO pairing
• Odd-frequency superfluidity from a particle-number-conserving perspective