Collective modes of a two-dimensional Fermi gas at finite temperature

Brendan C. Mulkerin, Xia Ji Liu, Hui Hu

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15 Citations (Scopus)

Abstract

We examine the breathing mode of a strongly interacting two-dimensional Fermi gas and the role of temperature on the anomalous breaking of scale invariance. By calculating the equation of state with different many-body T-matrix theories and the virial expansion, we obtain a hydrodynamic equation of the harmonically trapped Fermi gas (with trapping frequency ω0) through the local density approximation. By solving the hydrodynamic equations, we determine the breathing mode frequencies as a function of interaction strength and temperature. We find that the breathing mode anomaly depends sensitively on both interaction strength and temperature. In particular, in the strongly interacting regime, we predict a significant downshift of the breathing mode frequency, below the scale invariant value of 2ω0, for temperatures of the order of the Fermi temperature.

Original languageEnglish
Article number053612
Number of pages9
JournalPhysical Review A
Volume97
Issue number5
DOIs
Publication statusPublished - 17 May 2018
Externally publishedYes

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