We analyze the critical behavior of the superfluid density ${\ensuremath{\rho}}_{s}$ in strongly disordered superconductors near the superconductor-insulator transition and compare it with the behavior of the spectral gap $\mathrm{\ensuremath{\Delta}}$ for collective excitations. We show that, in contrast to conventional superconductors, the superconductors with preformed pairs display an unusual scaling relation ${\ensuremath{\rho}}_{s}\ensuremath{\propto}{\mathrm{\ensuremath{\Delta}}}^{2}$ close to the superconductor-insulator transition. This relation has been reported in very recent experiments.We analyze the critical behavior of the superfluid density ${\ensuremath{\rho}}_{s}$ in strongly disordered superconductors near the superconductor-insulator transition and compare it with the behavior of the spectral gap $\mathrm{\ensuremath{\Delta}}$ for collective excitations. We show that, in contrast to conventional superconductors, the superconductors with preformed pairs display an unusual scaling relation ${\ensuremath{\rho}}_{s}\ensuremath{\propto}{\mathrm{\ensuremath{\Delta}}}^{2}$ close to the superconductor-insulator transition. This relation has been reported in very recent experiments.

Physical Review BSep 29, 201515 citations

Quantum critical behavior of disordered superfluids

Adriaan M. J. Schakel

arXiv:cond-mat/9604088Physics Letters AJan 1, 199716 citations

Superconductor-insulator transition in a disordered electronic system

Nandini Trivedi, Richard T. Scalettar, Mohit Randeria

We study an electronic model of a two-dimensional $s$ -wave superconductor in a random potential using quantum Monte Carlo simulations. The superfluid density and the strength of the delta function in the optical conductivity are found to vanish beyond a critical disorder. We calculate the temperature-dependent resistivity ${\ensuremath{\rho}}_{\mathrm{dc}}(T)$ for a highly disordered interacting Fermi system. Using this we identify the nonsuperconducting state as an insulator.We study an electronic model of a two-dimensional $s$-wave superconductor in a random potential using quantum Monte Carlo simulations. The superfluid density and the strength of the delta function in the optical conductivity are found to vanish beyond a critical disorder. We calculate the temperature-dependent resistivity ${\ensuremath{\rho}}_{\mathrm{dc}}(T)$ for a highly disordered interacting Fermi system. Using this we identify the nonsuperconducting state as an insulator.

arXiv:cond-mat/9509029Physical review. B, Condensed matterAug 1, 1996125 citations

Superfluid density of a pseudogapped superconductor near SIT

M. V. Feigel’man, L. B. Ioffe

We analyze critical behavior of superfluid density $ρ_s$ in strongly disordered superconductors near superconductor-insulator transition and compare it with the behavior of the spectral gap $Δ$ for collective excitations. We show that in contrast to conventional superconductors, the superconductors with preformed pairs display unusual scaling relation $ρ_s \propto Δ^2$ close to superconductor-insulator transition. This relation have been reported in very recent experiments.We analyze critical behavior of superfluid density $ρ_s$ in strongly disordered superconductors near superconductor-insulator transition and compare it with the behavior of the spectral gap $Δ$ for collective excitations. We show that in contrast to conventional superconductors, the superconductors with preformed pairs display unusual scaling relation $ρ_s \propto Δ^2$ close to superconductor-insulator transition. This relation have been reported in very recent experiments.

arXiv:1509.05138Sep 17, 20150 citations

Superconductor–insulator transition in the disordered Bose condensate: a discussion of the mode-coupling approach

Alfred Gold

Physics-UspekhiFeb 28, 199811 citations

We study an electronic model of a two-dimensional

s

-wave superconductor in a random potential using quantum Monte Carlo simulations. The superfluid density and the strength of the delta function in the optical conductivity are found to vanish beyond a critical disorder. We calculate the temperature-dependent resistivity ${\ensuremath{\rho}}_{\mathrm{dc}}(T)$ for a highly disordered interacting Fermi system. Using this we identify the nonsuperconducting state as an insulator.

We analyze critical behavior of superfluid density

ρ_s

in strongly disordered superconductors near superconductor-insulator transition and compare it with the behavior of the spectral gap

Δ

for collective excitations. We show that in contrast to conventional superconductors, the superconductors with preformed pairs display unusual scaling relation

ρ_s \propto Δ^2

close to superconductor-insulator transition. This relation have been reported in very recent experiments.