Conductance characteristics between a normal metal and a two-dimensional Fulde-Ferrell-Larkin-Ovchinnikov superconductor: the Fulde-Ferrell state

Abstract

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state has received renewed interest recently due to the experimental indication of its presence in CeCoIn${}_5$, a quasi 2-dimensional (2D) d-wave superconductor. However direct evidence of the spatial variation of the superconducting order parameter, which is the hallmark of the FFLO state, does not yet exist. In this work we explore the possibility of detecting the phase structure of the order parameter directly using conductance spectroscopy through micro-constrictions, which probes the phase sensitive surface Andreev bound states of d-wave superconductors. We employ the Blonder-Tinkham-Klapwijk formalism to calculate the conductance characteristics between a normal metal (N) and a 2D $s$- or $d_{x^2-y^2}$-wave superconductor in the Fulde-Ferrell state, for all barrier parameter $z$ from the point contact limit ($z=0$) to the tunneling limit ($z\gg 1$). We find that the zero-bias conductance peak due to these surface Andreev bound states observed in the uniform d-wave superconductor is split and shifted in the Fulde-Ferrell state. We also clarify what weighted bulk density of states is measured by the conductance in the limit of large $z$.

10 pages, 13 figures

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• Theory of tunneling spectroscopy in the Larkin-Ovchinnikov state
• FFLO Vortex Lattice States in Cold Fermionic-Atom Systems
• Interplay of finite-energy and finite-momentum superconducting pairing
• Nonreciprocal superconductivity
• Interplay between the Fulde-Ferrell phase and Larkin-Ovchinnikov phase in the superconducting ring pierced by an Aharonov-Bohm flux
• Pairing competition in a quasi-one-dimensional model of organic superconductors (TMTSF)${}_{2}X$ in magnetic field
• Fermi surface segmentation in the helical state of a Rashba superconductor
• Detection of Striped Superconductors Using Magnetic Field Modulated Josephson Effect
• Spectroscopic signatures of the Larkin-Ovchinnikov state in the conductance characteristics of a normal-metal/superconductor junction
• Conductance spectroscopy of a correlated superconductor in a magnetic field in the Pauli limit: Evidence for strong correlations
• Momentum space imaging of the FFLO state
• 1D-FFLO state in the absence of time-reversal symmetry breaking
• Andreev reflection between a normal metal and the FFLO superconductor II: a self-consistent approach
• Andreev-Bragg reflection from an Amperian superconductor
• Dynamical magnetic response in superconductors with finite momentum pairs
• Magnetic excitations in the helical Rashba superconductor