Interplay of Superconductivity and Spin-Dependent Disorder

Abstract

The finite temperature phase diagram for the 2D attractive fermion Hubbard model with spin-dependent disorder is considered within Bogoliubov-de Gennes mean field theory. Three types of disorder are studied. In the first, only one species is coupled to a random site energy; in the second, the two species both move in random site energy landscapes which are of the same amplitude, but different realizations; and finally, in the third, the disorder is in the hopping rather than the site energy. For all three cases we find that, unlike the case of spin-symmetric randomness, where the energy gap and average order parameter do not vanish as the disorder strength increases, a critical disorder strength exists separating distinct phases. In fact, the energy gap and the average order parameter vanish at distinct transitions, $V_c^{\mathrm{gap}}$ and $V_c^{\mathrm{op}}$, allowing for a gapless superconducting (gSC) phase. The gSC phase becomes smaller with increasing temperature, until it vanishes at a temperature $T^{\ast }$.

9 pages, 7 figures

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Strongly interacting bosons in a disordered optical lattice
• Single Impurity In Ultracold Fermi Superfluids
• Exotic paired states with anisotropic spin-dependent Fermi surfaces
• Island formation in disordered superconducting thin films at finite magnetic fields

Cited by in corpus (4)

• Spin-selective localization of correlated lattice fermions
• Anderson Localization in Degenerate Spin-Orbit Coupled Fermi Gases with Disorder
• Gapless superconductivity and its real-space topology in quasicrystals
• Interaction-Induced Gradients Across a Confined Fermion Lattice