Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superfluid density and phase relaxation in superconductors with strong
  disorder   As a prototype of a disordered superconductor we consider the attractive
Hubbard model with on-site disorder. We solve the Bogoljubov-de-Gennes
equations on two-dimensional finite clusters at zero temperature and evaluate
the electromagnetic response to a vector potential. We find that the standard
decoupling between transverse and longitudinal response does not apply in the
presence of disorder. Moreover the superfluid density is strongly reduced by
the relaxation of the phase of the order parameter already at mean-field level
when disorder is large. We also find that the anharmonicity of the phase
fluctuations is strongly enhanced by disorder. Beyond mean-field, this provides
an enhancement of quantum fluctuations inducing a zero-temperature transition
to a non-superconducting phase of disordered preformed pairs. Finally, the
connection of our findings with the glassy physics for extreme dirty
superconductors is discussed.

7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs