Optical Conductivity From Pair Density Waves

Abstract

We present a theory of optical conductivity in systems with finite-momentum Cooper pairs. In contrast to the BCS pairing where AC conductivity is purely imaginary in the clean limit, there is nonzero AC absorption across the superconducting gap for finite-momentum pairing if we break the Galilean symmetry explicitly in the electronic Hamiltonian. Vertex correction is crucial for maintaining the gauge invariance in the mean-field formalism and dramatically changes the optical conductivity in the direction of the pairing momentum. We carried out a self-consistent calculation and gave an explicit formula for optical conductivity in a simple case. This result applies to the Fulde-Ferrell-Larkin-Ovchinnikov state and candidates with pair density waves proposed for High- Tc cuprates. It may help detect PDW and determine the pairing gap as well as the direction of the pairing momentum in experiments.

7 pages, 4 figures

References in corpus (5)

• Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in CeCoIn5
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Evidence of Andreev bound states as a hallmark of the FFLO phase in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Gauge invariant theories of linear response for strongly correlated superconductors

Cited by in corpus (18)

• The Physics of Pair Density Waves
• Theory of superconductivity with non-Hermitian and parity-time reversal symmetric cooper pairing symmetry
• Twisting Anderson pseudospins with light: Quench dynamics in THz-pumped BCS superconductors
• Modeling the pseudogap metallic state in cuprates: quantum disordered pair density wave
• Gauge-invariant microscopic kinetic theory of superconductivity in response to electromagnetic fields
• Current-enabled optical conductivity of superconductors
• Suppression of superfluid stiffness near Lifshitz-point instability to finite momentum superconductivity
• Superconductivity from Luttinger surfaces: Emergent $\infty$-body SYK physics
• The Higgs-Amplitude mode in the optical conductivity in the presence of a supercurrent: Gauge-invariant formulation with disorder
• Photoinduced Anomalous Supercurrent Hall Effect
• Second-order optical response of superconductors induced by supercurrent injection
• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity
• Proposal for Superconducting Photodiode
• ac properties of short Josephson weak links
• Vertex correction for the linear and nonlinear optical responses in superconductors: multiband effect and topological superconductivity
• Vertex corrections to nonlinear photoinduced currents in 2D superconductors
• Anomalous Superfluid Density in Pair-Density-Wave Superconductors