The Fulde-Ferrell-Larkin-Ovchinnikov states for the d-wave superconductor in the two-dimensional orthorhombic lattice

TL;DR

This paper investigates the FFLO state in a 2D orthorhombic superconductor, revealing a suppression of 2D states in favor of 1D stripe states and highlighting the effects of lattice symmetry on the superconducting phases.

Contribution

It provides a detailed analysis of the FFLO states in orthorhombic lattices, showing the suppression of 2D states and the orientation change of stripe states with magnetic field, differing from tetragonal systems.

Findings

2D FFLO state is suppressed in orthorhombic lattices

Stable state is a 1D stripe that changes orientation with Zeeman field

Presence of a crossover region with local 2D features

Abstract

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state of a two-dimensional (2D) orthorhombic lattice superconductor is studied based on the Bogoliubov-de-Gennes equations. It is illustrated that the 2D FFLO state is suppressed and only one-dimensional (1D) stripe state is stable. The stripe changes its orientation with the increasing Zeeman field. There exists a crossover region where the gap structure has some local 2D features. These results are significantly different from those of the tetragonal lattice system. The local density of states is also studied which can be checked and compared with experiments in future.