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

Physics – Condensed Matter – Superconductivity

Scientific paper

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

Scientific paper

10.1103/PhysRevB.85.024524

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.

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