Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-09-05
Physics
Condensed Matter
Statistical Mechanics
6 pages, Latex, JLTP class, accepted by Jour. Low Temp. Phys. Quantum Fluids and Solids Conference QFS2000
Scientific paper
The formalism of Ursell operators provides a self-consistent integral equation for the one-particle reduced operator. In three dimensions this technique yields values of the shift in the Bose-Einstein condensation (BEC) transition temperature, as a function of the scattering length, that are in good agreement with those of Green's function and quantum Monte Carlo methods. We have applied the same equations to a uniform two-dimensional system and find that, as we alter the chemical potential, an instability develops so that the self-consistent equations no longer have a solution. This instability, which seems to indicate that interactions restore a transition, occurs at a non-zero value of an effective chemical potential. The non-linear equations are limited to temperatures greater than or equal to Tc, so that they do not indicate the nature of the new stable state, but we speculate concerning whether it is a Kosterlitz-Thouless state or a ``smeared'' BEC, which might avoid any violation of the Hohenberg theorem, as described in an accompanying paper.
Holzmann Markus
Laloë Franck F.
Mullin William J.
No associations
LandOfFree
Instability in a Two-Dimensional Dilute Interacting Bose System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Instability in a Two-Dimensional Dilute Interacting Bose System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instability in a Two-Dimensional Dilute Interacting Bose System will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-518385