77 citations · 275 across the 10 of their papers we have counts for
10 papers
Wave function correlations and the AC conductivity of disordered wires beyond the Mott-Berezinskii law
G. M. Falco, Andrei A. Fedorenko, Ilya A. Gruzberg
In one-dimensional disordered wires electronic states are localized at any energy. Correlations of the states at close positive energies and the AC conductivity in the limit…
On functional determinants of matrix differential operators with multiple zero modes
G. M. Falco, Andrei A. Fedorenko, Ilya A. Gruzberg
We generalize the method of computing functional determinants with a single excluded zero eigenvalue developed by McKane and Tarlie to differential operators with multiple zero eig…
Instanton theory for bosons in disordered speckle potential
G. M. Falco, Andrei A. Fedorenko
We study the tail of the spectrum for non-interacting bosons in a blue-detuned random speckle potential. Using an instanton approach we derive the asymptotic behavior of the densit…
Density of states in an optical speckle potential
G. M. Falco, Andrei A. Fedorenko, Jacopo Giacomelli +1
We study the single particle density of states of a one-dimensional speckle potential, which is correlated and non-Gaussian. We consider both the repulsive and the attractive cases…
Variational approach for Bose-Einstein condensates in strongly disordered traps
G. M. Falco
Recently, Nattermann and Pokrovsky [PRL 100, 060402 (2008)] have proposed a scaling approach for studying Bose-Einstein condensates in strongly disordered traps. In this paper we i…
Cooper pairs under the action of disorder and strong magnetic field
V. L. Pokrovsky, G. M. Falco, T. Nattermann
The zero temperature phase diagram of Cooper pairs exposed to disorder and magnetic field is found to exhibit four distinct phases: a Bose and a Fermi insulating, a metallic and a…
Weakly interacting Bose gas in a random environment
G. M. Falco, T. Nattermann, V. L. Pokrovsky
Zero temperature properties of a dilute weakly interacting -dimensional Bose gas in a random potential are studied. We calculate geometrical and energetic characteristics of the…
Localized states and interaction induced delocalization in Bose gases with quenched disorder
G. M. Falco, T. Nattermann, V. L. Pokrovsky
Very diluted Bose gas placed into a disordered environment falls into a fragmented localized state. At some critical density the repulsion between particles overcomes the disorder.…
Collective Oscillations in Trapped Bose-Einstein Condensed Gases in the Presence of Weak Disorder
G. M. Falco, A. Pelster, R. Graham
The influence of a weak random potential on the collective modes of a trapped interacting Bose-Einstein condensate at zero temperature is calculated in the limit when the correlati…
Thermodynamics of a Bose-Einstein Condensate with Weak Disorder
G. M. Falco, A. Pelster, R. Graham
We consider the thermodynamics of a homogeneous superfluid dilute Bose gas in the presence of weak quenched disorder. Following the zero-temperature approach of Huang and Meng, we…