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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

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

We consider possible superconducting instabilities in a two-dimensional Fermi system with short-ranged repulsive interactions between electrons. The possibility of an unusual superconducting paring due to the Kohn-Luttinger mechanism is…

Superconductivity · Physics 2009-11-07 Victor Galitski , S. Das Sarma

We present numerical evidence for a paradigm in one-dimensional interacting fermion systems, whose phenomenology has traits of both Luttinger liquids and Fermi liquids. This state, dubbed a quasi-Fermi liquid, possesses a discontinuity in…

Strongly Correlated Electrons · Physics 2024-02-05 Joshua D. Baktay , Alexander V. Rozhkov , Adrian E. Feiguin , Julian Rincon

We calculate the lifetime of low-energy electronic excitations in a two-dimensional quantum dot near a metallic gate. We find different behaviors depending on the relative values of the dot size, the dot-gate distance and the Thomas-Fermi…

Statistical Mechanics · Physics 2009-11-10 F. Guinea , R. A. Jalabert , F. Sols

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

We show that the spectral function for single-particle excitations in a two-dimensional Fermi liquid has Lorentzian shape in the low energy limit. Landau quasi-particles have a uniquely defined spectral weight and a decay rate which is much…

Strongly Correlated Electrons · Physics 2009-10-30 Christoph J. Halboth , Walter Metzner

We demonstrate that 2D Fermi liquids can support peculiar excitations that are not subject to Landau's $T^2$ dissipation. The long-lived excitations relax through correlated angular dynamics involving "lock-step" angular displacements along…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 Patrick Ledwith , Haoyu Guo , Leonid Levitov

In the present paper one-dimensional two-component atomic Fermi gas is considered in long-wave limit as a Luttinger liquid. The mechanisms leading to instability of the non-Fermi-liquid state of a Luttinger liquid with two-level impurities…

Other Condensed Matter · Physics 2007-05-23 L. A. Manakova

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 review the current understanding of the uniform two-dimensional (2D) Fermi gas with short-range interactions. We first outline the basics of two-body scattering in 2D, including a discussion of how such a 2D system may be realized in…

Quantum Gases · Physics 2015-10-21 Jesper Levinsen , Meera M. Parish

Two-dimensional electron gases are predicted to possess an anomalous ''tomographic'' transport regime that is marked by an odd-even effect in the relaxation times, with odd-parity deformations of the Fermi surface becoming long-lived in…

Quantum Gases · Physics 2025-08-12 Jeff Maki , Ulf Gran , Johannes Hofmann

We provide a comprehensive theoretical investigation of the Fermi liquid quasiparticle description in two-dimensional electron gas interacting via the long-range Coulomb interaction by calculating the electron self-energy within the…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Seongjin Ahn , Sankar Das Sarma

We analytically study the inelastic lifetime of quasiparticles due to particle-particle interactions in a three-dimensional Fermi liquid approaching a density-wave instability. Using the G$_0$W approximation, we find that the softening of…

Strongly Correlated Electrons · Physics 2024-08-13 Iran Seydi , Saeed H. Abedinpour , Reza Asgari , B. Tanatar

We consider spinless electrons in two dimensions with the bare spectrum $\epsilon({\bf p})=|p_x|+|p_y|$. In momentum space, the interactions among electrons have a finite range $q_0$, which is small compared to the Fermi momentum. A golden…

Condensed Matter · Physics 2009-10-22 R. Hlubina

We present a class of one-dimensional generic spinless fermion lattice Hamiltonians that express quasi-Fermi liquid physics, manifesting both Luttinger and Fermi liquid features due to solely irrelevant interactions. Using infinite matrix…

Strongly Correlated Electrons · Physics 2025-10-28 Joshua D. Baktay , Adrian E. Feiguin , Julian Rincon

We study Fermi liquid properties of a weakly interacting 2D gas of single-component fermionic polar molecules with dipole moments $d$ oriented perpendicularly to the plane of their translational motion. This geometry allows the minimization…

Quantum Gases · Physics 2012-04-11 Zhen-Kai Lu , G. V. Shlyapnikov

The energy dependence of the relaxation rate of hot electrons due to interaction with the Fermi sea is studied. We consider 2D and 3D systems, quasi-1D quantum wires with multiple transverse bands, as well as single-channel 1D wires. Our…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 M. Bard , I. V. Protopopov , A. D. Mirlin

Fermi liquid theory is used to generate the Ginzburg-Landau free energy functionals for unconventional superconductors belonging to various representations. The parameters defining the GL functional depend on Fermi surface anisotropy,…

Superconductivity · Physics 2024-06-11 J. A. Sauls
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