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Related papers: A model of a Fermi liquid using gauge-gravity dual…

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We prove that the purely classical gravity dual of Fermi and non-Fermi liquids exist by employing the logarithmic behavior of entanglement entropy to probe Fermi surfaces. For isotropic systems, the logarithmic behavior originates only from…

High Energy Physics - Theory · Physics 2013-07-05 ZhongYing Fan

Through a Euclidean path integral we establish that the density fluctuations of a Fermi fluid in one dimension are related to vicinal surfaces and to the stochastic dynamics of particles interacting through long range forces with inverse…

Statistical Mechanics · Physics 2009-10-31 Herbert Spohn

We determine the thermodynamic properties and the spectral function for a homogeneous two-dimensional Fermi gas in the normal state using the Luttinger-Ward, or self-consistent T-matrix, approach. The density equation of state deviates…

Quantum Gases · Physics 2014-04-04 Marianne Bauer , Meera M. Parish , Tilman Enss

Insulating quantum spin liquids can undergo a confinement transition to a valence bond solid state via the condensation of topological excitations of the associated gauge theory. We extend the theory of such transitions to fractionalized…

Strongly Correlated Electrons · Physics 2016-04-26 Aavishkar A. Patel , Debanjan Chowdhury , Andrea Allais , Subir Sachdev

A Fermi Liquid theory is developed for the persistent current past a side coupled quantum dot yielding analytical predictions for the behavior of the first two harmonics of the persistent current as a function of applied magnetic flux. The…

Strongly Correlated Electrons · Physics 2007-05-23 Ian Affleck , Erik S. Sørensen

Using the density matrix renormalization group method, we systematically investigate the evolution of the Luttinger integral in the one-dimensional generalized $t$-$V$ model as a function of filling and interaction strength, and identify…

Strongly Correlated Electrons · Physics 2025-09-15 Meng Gao , Yin Zhong

Because Fermi liquids are inherently non-interacting states of matter, all electronic levels below the chemical potential are doubly occupied. Consequently, the simplest way of breaking Fermi liquid theory is to engineer a model in which…

Strongly Correlated Electrons · Physics 2022-03-23 Edwin W. Huang , Gabriele La Nave , Philip W. Phillips

Strongly coupled field theories with gravity duals can be placed at finite density in two ways: electric field flux emanating from behind a horizon, or bulk charged fields outside of the horizon that explicitly source the density. We…

High Energy Physics - Theory · Physics 2015-06-03 Nabil Iqbal , Hong Liu

We study the non-Fermi-liquid state formed by an isotropic, degenerate Fermi gas in two spatial dimensions interacting with a U(1) gauge field. Our calculation uses the functional renormalization group (fRG) with a soft frequency cutoff for…

Strongly Correlated Electrons · Physics 2024-11-28 Thomas P. Sheerin , Chris A. Hooley

We provide evidence that the gauge-fermion interaction in multiflavour quantum electrodynamics in $(2 + 1)$-dimensions is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial…

Condensed Matter · Physics 2007-05-23 I. J. R. Aitchison , N. E. Mavromatos

We explore systematically the ground state properties of one dimensional fermions with long-range interactions decaying in a power law $\sim1/r^\alpha$ through the density matrix renormalization group algorithm. By comparing values of…

Strongly Correlated Electrons · Physics 2019-04-30 Zhi-Hua Li

Based on the results obtained in a previous paper (S. Gaudio et al., cond-mat/0505309}, we derive the thermodynamic properties of a Fermi gas, deep into the quantum degenerate regime. We show that, if Luttinger's theorem holds, a first…

Strongly Correlated Electrons · Physics 2007-05-23 Sergio Gaudio , Jason Jackiewicz , Kevin S. Bedell

We introduce a Hamiltonian coupled between a normal Fermi surface and a polarized Maxwell type gauge field.We adopt a {\it calibrated scaling } approach in order to be consistent with the results obtained at $2+1$ dimensions as well as the…

Condensed Matter · Physics 2007-05-23 Gu Yan

We study a one-dimensional Fermi gas in the presence of dissipative coupling to environment through the Lindblad equation. The dissipation involves energy exchange with the environment and favours the relaxation of electrons to excitations.…

Strongly Correlated Electrons · Physics 2020-04-01 Ádám Bácsi , Catalin Pascu Moca , Balázs Dóra

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

We explore the effect of local constraints on one-dimensional bosonic and fermionic ground state phases. Motivated by recent experiments on Rydberg chains, we constrain the occupation of neighboring sites in known phases of matter. Starting…

Strongly Correlated Electrons · Physics 2019-03-25 Ruben Verresen , Ashvin Vishwanath , Frank Pollmann

We report a two-step density-matrix renormalization-group computation of the equal-time single-particle Green's function, the density-density correlations, and the low-frequency spectral weight function of a spinless fermion model in an…

Strongly Correlated Electrons · Physics 2015-05-18 S. Moukouri , E. Eidelstein

We review the theory of interacting Fermi systems whose low-energy physics is governed by forward scattering, i.e. scattering processes generated by effective interactions with small momentum transfers. These systems include Fermi liquids…

Condensed Matter · Physics 2007-05-23 W. Metzner , C. Castellani , C. Di Castro

We examine a two-dimensional Fermi liquid with a Fermi surface which touches the Umklapp surface first at the 4 points $(\pm \pi/2, \pm \pi/2)$ as the electron density is increased. Umklapp processes at the 4 patches near $(\pm \pi/2,…

Strongly Correlated Electrons · Physics 2009-10-31 N. Furukawa , T. M. Rice

We explore the weak-strong-coupling Bose-Fermi duality in a model of a single-channel integer or fractional quantum Hall edge state with a finite-range interaction. The system is described by a chiral Luttinger liquid with non-linear…

Strongly Correlated Electrons · Physics 2015-05-13 I. V. Protopopov , D. B. Gutman , A. D. Mirlin
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