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Related papers: Atypical Behavior of Collective Modes in Two-Dimen…

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We study the intrinsic effects of dimensional reduction on the transport equation of a perfectly two-dimensional Landau-Fermi liquid. By employing the orthogonality condition on the 2D analog of the Fourier-Legendre expansion, we find that…

Strongly Correlated Electrons · Physics 2020-06-23 Joshuah T. Heath , Matthew P. Gochan , Kevin S. Bedell

We derive the quantum Boltzmann equation (QBE) by using generalized Landau-interaction parameters, obtained through the nonequilibrium Green's function technique. This is a generalization of the usual QBE formalism to non-Fermi liquid (NFL)…

Strongly Correlated Electrons · Physics 2023-04-11 Ipsita Mandal

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

Starting from the Landau's kinetic equation, we show that an electronic liquid in $d=2,3$ dimensions depicted by a Landau type effective theory will become incompressible on condition that the Landau parameters satisfy either (i)…

Strongly Correlated Electrons · Physics 2023-05-29 Jian-Jian Miao , Hui-Ke Jin , Yi Zhou

We study the appearance of a sharp collective mode which features transverse current fluctuations within the bosonization approach to interacting two-dimensional Fermi liquids. This mode is analogous to the shear sound modes in elastic…

Strongly Correlated Electrons · Physics 2019-03-13 Jun Yong Khoo , Inti Sodemann Villadiego

We study the Fermi liquid properties of the cold atomic dipolar Fermi gases with the explicit dipolar anisotropy using perturbative approaches. Due to the explicit dipolar anisotropy, Fermi surfaces exhibit distortions of the…

Quantum Gases · Physics 2010-02-22 Ching-Kit Chan , Congjun Wu , Wei-cheng Lee , S. Das Sarma

Landau's Fermi-liquid (FL) theory has been successful at the phenomenological description of the normal phase of many different Fermi systems. Using a dilute atomic Fermi fluid with tunable interactions, we investigate the microscopic basis…

Interacting quantum many-body systems constitute a fascinating playground for researchers since they form quantum liquids with correlated ground states and low-lying excitations, which exhibit universal behaviour. In fermionic systems, such…

Landau's phenomenological theory of Fermi liquids is a fundamental paradigm in many-body physics that has been remarkably successful in explaining the properties of a wide range of interacting fermion systems, such as liquid helium-3,…

Strongly Correlated Electrons · Physics 2015-08-12 Rex Lundgren , Joseph Maciejko

Motivated by recent experiments in the Kitaev honeycomb lattice, Kondo insulators, and the "Luttinger's theorem-violating" Fermi liquid phase of the underdoped cuprates, we extend the theoretical machinery of Landau-Fermi liquid theory to a…

Strongly Correlated Electrons · Physics 2020-09-18 Joshuah T. Heath , Kevin S. Bedell

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 develop a general theory of fermion liquids in spatial dimensions greater than one. The principal method, bosonization, is applied to the cases of short and long range longitudinal interactions, and to transverse gauge interactions. All…

Condensed Matter · Physics 2016-08-31 H. -J. Kwon , A. Houghton , J. B. Marston

We consider collective excitations of a Fermi liquid. For each value of the angular momentum $l$, we study the evolution of longitudinal and transverse collective modes in the charge (c) and spin (s) channels with the Landau parameter…

Strongly Correlated Electrons · Physics 2019-12-04 Avraham Klein , Dmitrii L. Maslov , Lev P. Pitaevskii , Andrey V. Chubukov

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

Using a quantum Boltzmann equation framework, we analyse the nature of generic low-energy deformations of a critical Fermi surface, which exists at the non-Fermi liquid fixed point of a system consisting of fermions interacting with…

Strongly Correlated Electrons · Physics 2023-07-25 Kazi Ranjibul Islam , Ipsita Mandal

At low temperature, a normal gas of unpaired spin-1/2 fermions is one of the cleanest realizations of a Fermi liquid. It is described by Landau's theory, where no phenomenological parameters are needed as the quasiparticle interaction…

Quantum Gases · Physics 2025-09-03 Thomas Repplinger , Songtao Huang , Yunpeng Ji , Nir Navon , Hadrien Kurkjian

The concept of Fermi liquid lays a solid cornerstone to the understanding of electronic correlations in quantum matter. This ordered many-body state rigorously organizes electrons at zero temperature in progressively higher momentum states,…

Strongly Correlated Electrons · Physics 2021-05-21 D. Valentinis

Nematicity in quantum Hall systems has been experimentally well established at excited Landau levels. The mechanism of the symmetry breaking, however, is still unknown. Pomeranchuk instability of Fermi liquid parameter $F_{\ell} \le -1$ in…

Strongly Correlated Electrons · Physics 2018-10-12 Kyungmin Lee , Junping Shao , Eun-Ah Kim , F. D. M. Haldane , Edward H. Rezayi

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

It is well-known that, generically, the one-dimensional interacting fermions cannot be described in terms of the Fermi liquid. Instead, they present different phenomenology, that of the Tomonaga-Luttinger liquid: the Landau quasiparticles…

Strongly Correlated Electrons · Physics 2014-05-20 A. V. Rozhkov
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