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

Abstract

In this work 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 approach, we obtain a hydrodynamic equation of the harmonically trapped Fermi gas (with trapping frequency ${\omega }_0$) through the local density approximation. By solving the hydrodynamic equation we determine the breathing mode frequencies as functions 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 down-shift of the breathing mode frequency, below the scale invariant value of $2{\omega }_0$ for temperatures of order the Fermi temperature.

10 pages, 5 figures

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Cited by in corpus (15)

• Anomalous breaking of scale invariance in a two-dimensional Fermi gas
• Quantum anomaly and 2D-3D crossover in strongly interacting Fermi gases
• Reduced quantum anomaly in a quasi-2D Fermi superfluid: The significance of the confinement-induced effective range of interactions
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• Few-body perspective of a quantum anomaly in two-dimensional Fermi gases
• Breathing mode frequency of a strongly interacting Fermi gas across the 2D-3D dimensional crossover
• Nonrelativistic Conformal Invariance in Mesoscopic Two-Dimensional Fermi Gases
• Pseudogap regime of a strongly interacting two-dimensional Fermi gas with and without confinement-induced effect range of interactions
• Role of the confinement-induced effective range on the thermodynamics of a strongly correlated Fermi gas in two dimensions
• Dimensional crossover in ultracold Fermi gases from Functional Renormalisation
• Resonantly interacting $p$-wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Scale and conformal invariance in rotating interacting few-fermion systems
• Precision thermodynamics of the strongly interacting Fermi gas in two dimensions
• Small amplitude collective modes of a finite-size unitary Fermi gas in deformed traps