Twodimensional Bose liquid with strong gaugefield interaction
Abstract
Two unrelated problems can be reduced to a model of a Bose gas interacting with a gauge field: (i) the effect of thermal fluctuations on a system of vortices in bulk superconductors in fields H_{c1}<<H<<H_{c2}, and (ii) charged, spinless excitations in twodimensional (2D) strongly correlated electron systems. Both problems are important for the theory of hightemperature superconductors. We study this model in three regimes: at finite temperatures, assuming that the gauge field is purely transverse; at T=0, for the purely static (2D Coulomb) interaction; and at T=0, for a weak Coulomb interaction and a strong transverse one. Transverse interactions suppress the temperature of the superfluid transition significantly. A sufficiently strong transvese interaction is shown to produce a phase separation as the temperature decreases (in the absence of Coulomb repulsion). If there is Coulomb repulsion, the ground state does not have offdiagonal longrange order but the superfluid density is not zero unless the Coulomb constant exceeds a critical value. Sufficiently strong coupling to the transverse field destroys superfluidity as well. In the normal state formed at large couplings, the translational invariance is intact. We propose a bosonic ground state that is not superfluid at T=0. We discuss the implications of these results both for vortex liquids and strongly correlated electron systems.
 Publication:

Physical Review B
 Pub Date:
 December 1993
 DOI:
 10.1103/PhysRevB.48.16641
 Bibcode:
 1993PhRvB..4816641F
 Keywords:

 75.20.g;
 71.45.Gm;
 74.20.Mn;
 Diamagnetism paramagnetism and superparamagnetism;
 Exchange correlation dielectric and magnetic response functions plasmons;
 Nonconventional mechanisms