Collective modes in Fulde-Ferrell-Larkin-Ovchinnikov superconductors: The role of long-range Coulomb interaction and signatures in density response
arXiv:2405.14218 · doi:10.1103/PhysRevB.111.054516
Abstract
We theoretically investigate collective excitations in the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states of Pauli-limited superconducting films. When the long-range Coulomb interaction is absent, excitation spectra consist of two gapless and three gapped modes. The gapless modes are the Nambu-Goldstone modes associated with the spontaneous breaking of the symmetry and the translational symmetry. The gapped modes include the Higgs mode and the twofold degenerate modes that cause the oscillation of the domain width and grayness of FFLO nodal planes. We find that the long-range Coulomb interaction only gaps out the gapless phase mode through the Anderson-Higgs mechanism, while the other modes remain unaffected. Furthermore, the field evolution of the dispersion of the gapless elastic mode, the Nambu-Goldstone mode associated with the translational symmetry breaking, is associated with that of the bandwidth of the mid-gap Andreev bound states. We demonstrate that the signature of the elastic mode can be detected by measuring the density-density response function.
16 pages, 7 figures
References in corpus (28)
- Inelastic Light Scattering From Correlated Electrons
- Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
- Amplitude / Higgs Modes in Condensed Matter Physics
- Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
- A Twisted Kink Crystal in the Chiral Gross-Neveu model
- Evidence for an FFLO state with segmented vortices in the BCS-BEC-crossover superconductor FeSe
- Orbital Fulde-Ferrell-Larkin-Ovchinnikov state in an Ising superconductor
- Phase Diagram and Spectroscopy of FFLO states of two-dimensional d-wave superconductors
- Nonlinear electromagnetic response and Higgs mode excitation in BCS superconductors with impurities
- Thermodynamic evidence for the Fulde-Ferrell-Larkin-Ovchinnikov state in the KFe2As2 superconductor
- Higgs-mode resonance in third harmonic generation in NbN superconductors: multiband electron-phonon coupling, impurity scattering, and polarization-angle dependence
- Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems
- Signature of the FFLO phase in the collective modes of a trapped ultracold Fermi gas
- Vortex state in a Fulde-Ferrell-Larkin-Ovchinnikov superconductor based on the quasiclassical theory
- Quasiclassical Theory on Third-Harmonic Generation in Conventional Superconductors with Paramagnetic Impurities
- Fermionic solutions of chiral Gross-Neveu and Bogoliubov-de Gennes systems in nonlinear Schrödinger hierarchy
- Discovery of an Excited Pair State in Superfluid 3He
- On Nambu's Fermion-Boson Relations for Superfluid He-B
- Quasiparticle Nodal Plane in the Fulde-Ferrell-Larkin-Ovchinnikov State of FeSe
- Spin imbalance effect on Larkin-Ovchinnikov-Fulde-Ferrel state
- Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state
- Collective Modes and f-wave Pairing Interactions in Superfluid 3He
- Emergent anisotropy in the Fulde-Ferrell-Larkin-Ovchinnikov state
- Modulation vector of the Fulde-Ferrell-Larkin-Ovchinnikov state in CeCoIn5 revealed by high-resolution magnetostriction measurements
- Microscopic Eilenberger theory of Fulde-Ferrell-Larkin-Ovchinnikov states in the presence of vortices
- Spin susceptibility of Andreev bound states
- Gapless Higgs Mode in the Fulde-Ferrell-Larkin-Ovchinnikov State of a Superconductor
- Orbital-Induced Crossover of the Fulde-Ferrell-Larkin-Ovchinnikov Phase into Abrikosov-like States