Europhys. Lett.
Volume 69, Number 3, February 2005
Page(s) 390 - 396
Section Condensed matter: structure, mechanical and thermal properties
Published online 24 December 2004
Europhys. Lett., 69 (3), pp. 390-396 (2005)
DOI: 10.1209/epl/i2004-10348-5

Superfluid-Bose-glass transition in two dimensions at $\mth{T=0}$: Analytic solution of a mode-coupling toy model

E. V. Zenkov

Ural State Technical University - 620002 Ekaterinburg, Russia

received 23 July 2004; accepted in final form 16 November 2004
published online 24 December 2004

Analytic expression for the memory function and the optical conductivity of the two-dimensional Bose gas with logarithmic interaction at T=0 in the presence of point-like impurities is obtained within the mode-coupling approximation. Depending on the value of a dimensionless combination of the model parameters proportional to the strength of the impurity potential, two different phases are distinguished, viz the disordered superfluid and insulator (Bose glass), separated by an intermediate (quasi)metal state.

64.70.Pf - Glass transitions.
67.57.De - Superflow and hydrodynamics.
72.15.Rn - Localization effects (Anderson or weak localization).

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