Leggett Modes and the Anderson-Higgs Mechanism in Superconductors without Inversion Symmetry

Nikolaj Bittner; Dietrich Einzel; Ludwig Klam; Dirk Manske

doi:10.1103/PhysRevLett.115.227002

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Leggett Modes and the Anderson-Higgs Mechanism in Superconductors without Inversion Symmetry

Nikolaj Bittner, Dietrich Einzel, Ludwig Klam, Dirk Manske

DOI 10.1103/PhysRevLett.115.227002 · Physical Review Letters

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Abstract

We develop a microscopic and gauge-invariant theory for collective modes resulting from the phase of the superconducting order parameter in noncentrosymmetric superconductors. Considering various crystal symmetries, we derive the corresponding gauge mode ωG(q) and find, in particular, new Leggett modes ωL(q) with characteristic properties that are unique to noncentrosymmetric superconductors. We calculate their mass and dispersion that reflect the underlying spin-orbit coupling and thus the balance between triplet and singlet superconductivity occurring simultaneously. Finally, we demonstrate the role of the Anderson-Higgs mechanism: while the long-range Coulomb interaction shifts ωG(q) to the condensate plasma mode ωP(q), it leaves the mass Λ0 of the new Leggett mode unaffected and only slightly modifies its dispersion.

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Formula	Reported Tc (K)	Pressure (GPa)	Type
CePt3Si Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Li2PdxPt3-xB Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
MgB2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Sr2RuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown