Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-03-21
Phys. Rev. B 73, 104515 (2006)
Physics
Condensed Matter
Other Condensed Matter
21 pages; 2 figures; v4: version accepted for publication in PRB; in this version Section IV is considerably extended
Scientific paper
10.1103/PhysRevB.73.104515
We show that roton-like excitations are thermally induced in a two-dimensional dilute Bose gas as a consequence of the strong phase fluctuations in two dimensions. At low momentum, the roton-like excitations lead for small enough temperatures to an anomalous phonon spectrum with a temperature dependent exponent reminiscent of the Kosterlitz-Thouless transition. Despite the anomalous form of the energy spectrum, it is shown that the corresponding effective theory of vortices describes the usual Kosterlitz-Thouless transition. The possible existence of an anomalous normal state in a small temperature interval is also discussed.
Kleinert Hagen
Nogueira Flavio S.
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