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Massless collective excitations in frustrated multiband superconductors

Keita Kobayashi, Masahiko Machida, Yukihiro Ota, Franco Nori

DOI 10.1103/PhysRevB.88.224516 · Physical Review B

T1

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Abstract

We study collective excitations in three- and four-band superconductors with interband frustration, which causes neither 0 nor π interband phases in the superconducting state. Using a low-energy spin Hamiltonian originating from a multiband tight-binding model, we find that mass reduction of a Leggett mode occurs in a wide parameter region of this four-band system. As a limiting case, we have a massless Leggett mode. This massless mode is related to the fact that the mean-field energy does not depend on a relative phase of superconducting order parameters. In other words, we find a link of the massless mode with a degeneracy between a time-reversal-symmetry-breaking state (neither 0 nor π phases) and a time-reversal-symmetric state (either 0 or π phases). Therefore, the mass of collective modes characterizes well the time-reversal symmetry in frustrated multiband superconductors.

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FormulaReported Tc (K)Pressure (GPa)Type
MgB2

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—Pressure not reportedunknown

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