Odd-frequency Cooper pairs and zero-energy surface bound states in superfluid 3He

Abstract

We study the odd-frequency Cooper pairs formed near the surface of superfluid 3He. The odd-frequency pair amplitude is closely related to the local density of states in the low energy limit. We derive a formula relating explicitly the two quantities. This formula holds for arbitrary boundary condition at the surface. We also present some numerical results on the surface odd-frequency pair amplitude in superfluid 3He-B. Those analytical and numerical results allow one to interpret the midgap surface density of states, observed recently by transverse acoustic impedance measurements on superfluid 3He-B, as the manifestation of the surface odd-frequency state.

5 pages, 3 figures, published in Phys. Rev. B 85, 024524 (2012)

References in corpus (4)

• Theory of the proximity effect in junctions with unconventional superconductors
• Odd-frequency pairing in normal metal/superconductor junctions
• Surface Majorana Cone of the Superfluid ${}^3$He B Phase
• Majorana surface states of superfluid 3He A- and B-phases in a slab

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• Odd-frequency pair in topological superconductivity of 1D magnetic chain
• Edge Current due to Majorana Fermions in Superfluid ${}^3$He A- and B-Phases
• Anomalous surface states at interfaces in p-wave superconductors
• Odd-frequency pairing and proximity effect in Kitaev chain systems including topological critical point
• Robustness of Spin-Triplet Pairing and Singlet-Triplet Pairing Crossover in Superconductor/Ferromagnet Hybrids
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Odd-frequency pairing effect on the superfluid density and the Pauli spin susceptibility in spatially nonuniform spin-singlet superconductors
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit
• Odd-frequency pairing and Ising spin susceptibility in time-reversal invariant superfluids and superconductors
• Pairing symmetry of superconductivity coexisting with antiferromagnetism
• Observability of surface currents in p-wave superconductors
• Tunneling and Josephson effects in odd-frequency superconductor junctions: A study on multi-channel Kondo chain
• Local impedance on a rough surface of a chiral $p$-wave superconductor
• Influence of diffuse surface scattering on the stability of superconducting phases with spontaneous surface current generated by Andreev bound states
• Anisotropic paramagnetic response of topological Majorana surface states in the superconductor ${\text{UTe}}_2$
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field
• Impact of impurity scattering on odd-frequency spin-triplet pairing near the edge of the Kitaev chain