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We derive analytical expressions for the frequency and damping of the lowest collective modes of a two-dimensional Fermi gas using kinetic theory. For strong coupling, we furthermore show that pairing correlations overcompensate the effects…

Quantum Gases · Physics 2013-05-30 Stefan K. Baur , Enrico Vogt , Michael Köhl , Georg M. Bruun

We show that a two-dimensional (2D) isotropic Fermi liquid harbors two new types of collective modes, driven by quantum fluctuations, in addition to conventional zero sound: "hidden" and "mirage" modes. The hidden modes occur for relatively…

Strongly Correlated Electrons · Physics 2019-12-05 Avraham Klein , Dmitrii L. Maslov , Andrey V. Chubukov

Degenerate two-dimensional electron liquids are theoretically established to possess two vastly distinct collisional electron mean free paths, where even-parity deformations of the Fermi surface are hydrodynamic with a short collisional…

Mesoscale and Nanoscale Physics · Physics 2025-04-24 Habib Rostami , Nitay Ben-Shachar , Sergej Moroz , Johannes Hofmann

Fermi gases in two dimensions display a surprising collective behavior originating from the head-on carrier collisions. The head-on processes dominate angular relaxation at not-too-high temperatures $T\ll T_F$ owing to the interplay of…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Patrick J Ledwith , Haoyu Guo , Andrey V Shytov , Leonid Levitov

We report on measurements of an elementary surface mode in an ultracold, strongly interacting Fermi gas of 6Li atoms. The radial quadrupole mode allows us to probe hydrodynamic behavior in the BEC-BCS crossover without being influenced by…

Other Condensed Matter · Physics 2007-09-24 A. Altmeyer , S. Riedl , M. J. Wright , C. Kohstall , J. Hecker Denschlag , R. Grimm

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic semiclassical approximations, we address the…

We consider a Fermi liquid model with density-density as well as quadrupolar forward scattering interactions parametrized by the Landau parameters $F_0$ and $F_2$. Using bosonization and a decimation technique, we compute collective modes…

Strongly Correlated Electrons · Physics 2019-09-18 Rui Aquino , Daniel G. Barci

Momentum-conserving quasiparticle collisions in two-dimensional Fermi gases give rise to a large family of exceptionally long-lived excitation modes. The lifetimes of these modes exceed by a factor $(T_F/T)^2\gg 1$ the conventional Landau…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Patrick J Ledwith , Haoyu Guo , Leonid Levitov

We calculate the effects of two-body interactions on the low frequency oscillations of a normal Fermi gas confined in a harmonic trap. The mean field contribution to the collective frequencies is evaluated in the collisionless regime using…

Condensed Matter · Physics 2009-10-31 L. Vichi , S. Stringari

Non-Fermi liquids arise when metals are subject to singular interactions mediated by soft collective modes. In the absence of well-defined quasiparticle, universal physics of non-Fermi liquids is captured by interacting field theories which…

Strongly Correlated Electrons · Physics 2018-03-23 Sung-Sik Lee

We discuss the ground state and the small-amplitude excitations of a degenerate vapour of fermionic atoms placed in two hyperfine states inside a spherical harmonic trap. An equations-of-motion approach is set up to discuss the hydrodynamic…

Statistical Mechanics · Physics 2009-10-31 M. Amoruso , I. Meccoli , A. Minguzzi , M. P. Tosi

Highly polarized mixtures of atomic Fermi gases constitute a novel Fermi liquid. We demonstrate how information on thermodynamic properties may be used to calculate quasiparticle scattering amplitudes even when the interaction is resonant…

Statistical Mechanics · Physics 2008-06-19 G. M. Bruun , A. Recati , C. J. Pethick , H. Smith , S. Stringari

We present an experimental investigation of collective oscillations in harmonically trapped Fermi gases through the crossover from two to three dimensions. Specifically, we measure the frequency of the radial monopole or breathing mode as a…

Quantum Gases · Physics 2018-09-26 T. Peppler , P. Dyke , M. Zamorano , S. Hoinka , C. J. Vale

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…

Quantum Gases · Physics 2018-05-23 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

Ultracold Fermi gases subject to tight transverse confinement offer a highly controllable setting to study the two-dimensional (2D) BCS to Berezinskii-Kosterlitz-Thouless superfluid crossover. Achieving the 2D regime requires confining…

Quantum Gases · Physics 2016-01-20 P. Dyke , K. Fenech , T. Peppler , M. G. Lingham , S. Hoinka , W. Zhang , B. Mulkerin , H. Hu , X. -J. Liu , C. J. Vale

Motivated by recent experimental advances in creating polar molecular gases in the laboratory, we theoretically investigate the many body effects of two-dimensional dipolar systems with the anisotropic and $1/r^3$ dipole-dipole…

Quantum Gases · Physics 2010-12-20 Qiuzi Li , E. H. Hwang , S. Das Sarma

We investigate the collective modes in the spin-orbit coupled Fermi gas with repulsive s-wave interaction. The interplay between spin-orbit coupling and atom-atom interactions plays the crucial role in the collective behaviors of Fermi gas.…

Quantum Gases · Physics 2015-06-12 Shang-Shun Zhang , Xiao-Lu Yu , Jinwu Ye , Wu-Ming Liu

A Fermi liquid with spin-orbit coupling (SOC) is expected to support a new kind of collective modes: oscillations of magnetization in the absence of the magnetic field. We show that these modes are damped by the electron-electron…

Strongly Correlated Electrons · Physics 2017-01-16 Saurabh Maiti , Dmitrii L. Maslov

We evaluate the frequencies of scissors modes for density and concentration fluctuations in a vapour of fermionic atoms placed in two hyperfine levels inside a spherical harmonic trap. Both the superfluid and the normal state are…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Mario P. Tosi

We evaluate the frequencies of collective modes and the anisotropic expansion rate of a harmonically trapped Fermi superfluid at varying coupling strengths across a Feshbach resonance driving a BCS-BEC crossover. The equations of motion for…

Statistical Mechanics · Physics 2007-05-23 Hui Hu , A. Minguzzi , Xia-Ji Liu , M. P. Tosi