Collective mode contributions to the Meissner effect: Fulde-Ferrell and pair-density wave superfluids

Abstract

In this paper we demonstrate the necessity of including the generally omitted collective mode contributions in calculations of the Meissner effect for non-uniform superconductors. We consider superconducting pairing with non-zero center of mass momentum, as is relevant to high transition temperature cuprates, cold atoms, and quantum chromodynamic superconductors. For the concrete example of the Fulde-Ferrell phase we present a quantitative calculation of the superfluid density, showing the collective mode contributions are not only appreciable but that they derive from the amplitude mode of the order parameter. This latter mode (related to the Higgs mode in a charged system) is generally viewed as being invisible in conventional superconductors. However, our analysis shows that it is extremely important in pair-density wave type superconductors, where it destroys superfluidity well before the mean-field order parameter vanishes.

References in corpus (6)

• Theory of Intertwined Orders in High Temperature Superconductors
• Amplitude / Higgs Modes in Condensed Matter Physics
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• The Higgs Mode in Disordered Superconductors Close to a Quantum Phase Transition
• The Higgs mode in a two-dimensional superfluid
• Higgs Modes in the Pair Density Wave Superconducting State

Cited by in corpus (11)

• Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in three and two dimensions
• Suppression of superfluid stiffness near Lifshitz-point instability to finite momentum superconductivity
• Higgs Modes in the Pair Density Wave Superconducting State
• Odd-frequency pair density wave correlations in underdoped cuprates
• The Higgs-Amplitude mode in the optical conductivity in the presence of a supercurrent: Gauge-invariant formulation with disorder
• Electromagnetic response of superconductors in the presence of multiple collective modes
• Optically active Higgs and Leggett modes in multiband pair-density-wave superconductors with Lifshitz invariant
• Collective modes in Fulde-Ferrell-Larkin-Ovchinnikov superconductors: The role of long-range Coulomb interaction and signatures in density response
• Detecting Topological Phase Transition in Superconductor-Semiconductor Hybrids by Electronic Raman Spectroscopy
• Fluctuation conductivity in ultraclean multicomponent superconductors
• Anomalous Superfluid Density in Pair-Density-Wave Superconductors