Testing the $d^{*}_{x^{2}-y^{2}}$-wave pairing symmetry by quasiparticle interference in BiS$_{2}$-based superconductors

TL;DR

This paper theoretically investigates quasiparticle interference patterns in BiS$_{2}$-based superconductors to test the proposed $d^{*}_{x^{2}-y^{2}}$-wave pairing symmetry using QPI spectra analysis.

Contribution

It introduces a theoretical framework for analyzing QPI patterns considering spin-orbital coupling to verify the $d^{*}_{x^{2}-y^{2}}$-wave pairing symmetry in BiS$_{2}$ superconductors.

Findings

Identified two distinct scattering wave vectors in QPI spectra.

Linked QPI pattern evolution to constant-energy contour changes.

Provided a basis for experimental verification of pairing symmetry.

Abstract

The quasiparticle interference (QPI) patterns in BiS$_{2}$-based superconductors are theoretically investigated by taking into account the spin-orbital coupling and assuming the recently proposed $d^{*}_{x^{2}-y^{2}}$-wave pairing symmetry. We found two distinct scattering wave vectors whose evolution can be explained based on the evolution of the constant-energy contours. The QPI spectra presented in this paper can thus be compared with future scanning tunneling microscopy experiments to test whether the pairing symmetry is $d^{*}_{x^{2}-y^{2}}$-wave in BiS$_{2}$-based superconductors.