Probing unconventional superconductivity in inversion symmetric doped Weyl semimetal

Abstract

Unconventional superconductivity has been predicted to arise in the topologically non-trivial Fermi surface of doped inversion symmetric Weyl semimetals (WSM). In particular, Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) and nodal BCS states are theoretically predicted to be possible superconductor pairing states in inversion symmetric doped WSM. In an effort to resolve preferred pairing state, we theoretically study two separate four terminal quantum transport methods that each exhibit a unique electrical signature in the presence of FFLO and nodal BCS states in doped WSMs. We first introduce a Josephson junction that consists of a doped WSM and an s-wave superconductor in which we show that the application of a transverse uniform current in s-wave superconductor effectively cancels the momentum carried by FFLO states in doped WSM. From our numerical analysis, we find a peak in Josephson current amplitude at finite uniform current in s-wave superconductor that serves as an indicator of FFLO states in doped WSMs. Furthermore, we show using a four terminal measurement configuration that the nodal points may be shifted by an application of transverse uniform current in doped WSM. We analyze the topological phase transitions induced by nodal pair annihilation in non-equilibrium by constructing the phase diagram and we find a characteristic decrease in the density of states that serves as a signature of the quantum critical point in the topological phase transition, thereby identifying nodal BCS states in doped WSM.

arXiv comment8 pages, 4 figures (5 pages, 2 figures for supplementary material)

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• Finite momentum Cooper pairing in 3D topological insulator Josephson junctions
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• Josephson effect in a Weyl SNS junction
• Non-Abelian Majorana modes protected by an emergent second Chern number
• Topological density-wave states in a particle-hole symmetric Weyl metal
• Disorder Induced Phase Transitions of Type-II Weyl Semimetal
• Chirality Josephson current due to a novel quantum anomaly in inversion-asymmetric Weyl semimetals
• Induced superconductivity in Fermi arcs
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• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Rectification and nonlinear Hall effect by fluctuating finite-momentum Cooper pairs
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• Fulde-Ferrell States in Inverse Proximity Coupled Magnetically-Doped Topological Heterostructures
• Electrically modulated SQUID with single Josephson junction coupled by a time-reversal breaking Weyl semimetal thin film
• Equilibrium current in a Weyl-semimetal - superconductor heterostructure
• Resolving different pairing states in Weyl superconductors through the single-particle spectrum
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space
• Inter-node superconductivity in strained Weyl semimetals
• Fast nuclear spin relaxation rates in tilted cone Weyl semimetals: Redshift factors from Korringa relation
• Superconductivity in Weyl semimetals in a strong pseudomagnetic field
• Topological $d$-wave Superconductivity and Nodal Line-Arc Intersections in Weyl Semimetals
• Visualizing superconductivity in an inversion-symmetry-broken doped Weyl semimetal