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Pauli blocking in Fermi liquids imposes strong phase-space constraints on quasiparticle lifetimes, leading to a well-known quadratic-in-temperature decay rate of quasiparticle modes at low temperatures. In two-dimensional systems, however,…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Eric Nilsson , Ulf Gran , Johannes Hofmann

A precise characterization of the recently discovered crossover to hydrodynamic transport in electron liquids, and in particular of a conjectured exotic odd-parity transport regime, requires a full solution of the Fermi-liquid collision…

Mesoscale and Nanoscale Physics · Physics 2023-09-12 Johannes Hofmann , Ulf Gran

Recent theoretical works predict a hierarchy of long-lived, non-hydrodynamic modes in two-dimensional Fermi liquids arising from the feature$-$supposedly unique to two dimensions$-$that relaxation by head-on scattering is not efficient in…

Mesoscale and Nanoscale Physics · Physics 2026-02-20 Seth Musser , Sankar Das Sarma , Johannes Hofmann

We develop an analytically solvable model for interacting two-dimensional Fermi liquids with separate collisional relaxation rates for parity-odd and parity-even Fermi surface deformations. Such a disparity of collisional lifetimes exists…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Johannes Hofmann , Sankar Das Sarma

Two-dimensional Fermi liquids at low temperatures have been theoretically established to exhibit an odd-even effect in the collective quasiparticle relaxation rates where even-parity deformations of the Fermi surface decay at a much faster…

Strongly Correlated Electrons · Physics 2026-03-09 Jeff Maki , 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

Atomic Fermi gases have been an ideal platform for simulating conventional and engineering exotic physical systems owing to their multiple tunable control parameters. Here we investigate the effects of mixed dimensionality on the superfluid…

Quantum Gases · Physics 2017-10-12 Leifeng Zhang , Yanming Che , Jibiao Wang , Qijin Chen

We develop a quantitative analytic theory that accurately describes the odd-even effect observed experimentally in a one-dimensional, trapped Fermi gas with a small number of particles [G. Z\"urn et al., Phys. Rev. Lett. 111, 175302…

Quantum Gases · Physics 2016-06-22 Johannes Hofmann , Alejandro M. Lobos , Victor Galitski

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

In a recent experiment [M. Feld et al., Nature 480, 75 (2011); B. Froehlich et al., Phys. Rev. Lett. 109,130403 (2012)], a pairing gap was detected in a two-dimensional (2D) Fermi gas with attractive interaction at temperatures where…

Quantum Gases · Physics 2015-02-11 F. Marsiglio , P. Pieri , A. Perali , F. Palestini , G. C. Strinati

Two-dimensional Fermi gases with universal short-range interactions are known to exhibit a quantum anomaly, where a classical scale and conformal invariance is broken by quantum effects at strong coupling. We argue that in a quasi…

Quantum Gases · Physics 2022-05-24 Viktor Bekassy , Johannes Hofmann

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

Two-dimensional electron systems offer an appealing platform to explore long-lived excitations arising due to collinear carrier scattering enabled by phase-space constraints at the Fermi surface. Recently it was found that these effects can…

Strongly Correlated Electrons · Physics 2024-09-27 Serhii Kryhin , Leonid Levitov

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 theoretically investigate strong-coupling properties of an odd-frequency Fermi superfluid. This pairing state has the unique property that Cooper pairs are formed between fermions, not at the same time, but at different times. To see…

Quantum Gases · Physics 2024-06-18 Shumpei Iwasaki , Taira Kawamura , Koki Manabe , Yoji Ohashi

We study the superfluid behavior of ultracold atomic Fermi gases with a short range attractive interaction in a two-dimensional optical lattice (2DOL) using a pairing fluctuation theory, within the context of BCS-BEC crossover. We find that…

Quantum Gases · Physics 2022-03-01 Lin Sun , Jibiao Wang , Xiang Chu , Qijin Chen

For a long time, it has been thought that 2D Fermi gases could support long-lived excitations, thanks to the collinear quasiparticle scattering controlled by phase space constraints at a 2D Fermi surface. We present a direct calculation…

Mesoscale and Nanoscale Physics · Physics 2023-05-18 Serhii Kryhin , Leonid Levitov

We consider a two-component gas of fermionic atoms confined to a quasi-two-dimensional (quasi-2D) geometry by a harmonic trapping potential in the transverse direction. We construct a mean field theory of the BCS-BEC crossover at zero…

Quantum Gases · Physics 2014-03-04 Andrea M. Fischer , Meera M. Parish

In this Letter, we show that the classical SO(2,1) symmetry of a harmonically trapped Fermi gas in two dimensions is broken by quantum effects. The anomalous correction to the symmetry algebra is given by a two-body operator that is well…

Quantum Gases · Physics 2012-05-08 Johannes Hofmann

Proper analysis of electron collisions in two spatial dimensions leads to the conclusion, that the odd harmonics of the electron distribution function decay much slower than the even ones at finite temperatures. The number of long-lived odd…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Grigory A. Starkov , Björn Trauzettel
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