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Theory of Higgs modes in d-wave superconductors

F. Yang, M. W. Wu

DOI 10.1103/PhysRevB.102.014511 · Physical Review B

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Abstract

By applying a microscopic gauge-invariant kinetic theory in d-wave superconductors, we analytically derive the energy spectra of the breathing Higgs mode and, in particular, rotating Higgs mode that is unique for the d-wave order parameter. An analytical investigation on their dynamic properties is also revealed. We show that the breathing Higgs mode is optically visible in the second-order regime. Whereas the rotating Higgs mode is optically inactive, we show that this mode can be detected in the pseudogap phase by a magnetic resonance experiment. It is interesting to find that with a longitudinal temperature gradient, the charge-neutral rotating Higgs mode generates a thermal Hall current by a magnetic field in the pseudogap phase, providing a unique scheme for its detection. This finding is likely to capture a very recent experimental observation of negative thermal Hall signal in cuprate superconductors [G. Grissonnanche et al., Nature (London) 571, 376 (2019)] for the overdoped pseudogap phase.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
La3Ni2O7

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—Pressure not reportedunknown
LaH10

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260Pressure not reportedunknown
CsV3Sb5-xSnx

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—Pressure not reportedunknown

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