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Related papers: Fermi Surface Volume of Interacting Systems

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In periodic systems of interacting electrons, Fermi and Luttinger surfaces refer to the locations within the Brillouin zone of poles and zeros, respectively, of the single-particle Green's function at zero energy and temperature. Such…

Strongly Correlated Electrons · Physics 2021-10-04 Michele Fabrizio

Using the adiabatic switching of interactions, we establish a condition for the existence of electronic quasiparticles in a Luttinger liquid. It involves a characteristic interaction strength proportional to the inverse square root of the…

Condensed Matter · Physics 2009-10-22 R. Mélin , B. Douçot , P. Butaud

An unbiased zero-temperature auxiliary-field quantum Monte Carlo method is employed to analyze the nature of the semimetallic phase of the two-dimensional Hubbard model on the honeycomb lattice at half filling. It is shown that the…

Strongly Correlated Electrons · Physics 2019-04-03 Kazuhiro Seki , Yuichi Otsuka , Seiji Yunoki , Sandro Sorella

It has been understood that short range interactions can reduce the classification of topological superconductors in all dimensions. In this paper we demonstrate by explicit calculations that when the topological phase transition between…

Strongly Correlated Electrons · Physics 2015-06-19 Yi-Zhuang You , Zhong Wang , Jeremy Oon , Cenke Xu

A fundamental concept in physics is the Fermi surface, the constant-energy surface in momentum space encompassing all the occupied quantum states at absolute zero temperature. In 1960, Luttinger postulated that the area enclosed by the…

Strongly Correlated Electrons · Physics 2020-07-21 Md. S. Hossain , M. A. Mueed , M. K. Ma , K. A. V. Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We study the Gross-Neveu model in 2+1 dimensions with a baryon chemical potential mu using both analytical and numerical methods. For mu greater than a critical value the model is chirally symmetric and has a Fermi surface with Fermi…

High Energy Physics - Lattice · Physics 2009-11-10 Simon Hands , John B. Kogut , Costas G. Strouthos , Thao N. Tran

The earlier theory [1] of the quantum phase transitions related to the change of the Fermi Surface Topology (FST) is advanced. For such transitions the Fermi surface as a quantum critical manifold determined by the Lee-Yang zeros, the order…

Strongly Correlated Electrons · Physics 2026-05-20 Gennady Y. Chitov

We have observed the superfluid phase transition in a strongly interacting Fermi gas via high-precision measurements of the local compressibility, density and pressure down to near-zero entropy. Our data completely determine the universal…

Quantum Gases · Physics 2012-02-23 Mark J. H. Ku , Ariel T. Sommer , Lawrence W. Cheuk , Martin W. Zwierlein

Forward and backscattering play an exceptional role in the physics of two-dimensional interacting fermions. In a Fermi liquid, both give rise to a non-analytic $\omega^2 \log(\omega)$ form of the fermionic scattering rate at second order in…

Strongly Correlated Electrons · Physics 2021-07-07 Dimitri Pimenov , Alex Kamenev , Andrey V. Chubukov

We prove regularity properties of the self-energy, to all orders in perturbation theory, for systems with singular Fermi surfaces which contain Van Hove points where the gradient of the dispersion relation vanishes. In this paper, we show…

Mathematical Physics · Physics 2009-11-13 Joel Feldman , Manfred Salmhofer

The idea of raising Tc in the spin-fluctuation mediated superconductivity on disconnected Fermi surfaces with the gap function changing sign across but not within the Fermi pockets, proposed by Kuroki and Arita for two dimensions (2D), is…

Superconductivity · Physics 2010-02-17 S. Onari , R. Arita , K. Kuroki , H. Aoki

We present an experimental study of the high-energy excitation spectra of unitary Fermi gases. Using focussed beam Bragg spectroscopy, we locally probe atoms in the central region of a harmonically trapped cloud where the density is nearly…

Quantum Gases · Physics 2019-05-29 C. Carcy , S. Hoinka , M. G. Lingham , P. Dyke , C. C. N. Kuhn , H. Hu , C. J. Vale

In this paper we complete the first step, namely the uniform bound on completely convergent contributions, towards proving that a three dimensional interacting system of Fermions is a Fermi liquid in the sense of Salmhofer. The analysis…

Superconductivity · Physics 2015-06-24 M. Disertori , J. Magnen , V. Rivasseau

Frequency sum rules are derived in extended quantum systems of non relativistic fermions from a minimal set of assumptions on dynamics in infinite volume, for ground and thermal states invariant under space translations or a lattice…

Other Condensed Matter · Physics 2008-04-07 A. Cintio , G. Morchio

Monte Carlo simulation of a 2+1 dimensional model of voltage-biased bilayer graphene, consisting of relativistic fermions with chemical potential mu coupled to charged excitations with opposite sign on each layer, has exposed non-canonical…

Strongly Correlated Electrons · Physics 2015-12-30 Wes Armour , Simon Hands , Costas Strouthos

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

Various quantities of an attractively interacting fermion system at the unitary limit are determined by extrapolating Monte Carlo results of low-density neutron matter. Smooth extrapolation in terms of $1/(k_F a_0)$ ($k_F$ is the Fermi…

Nuclear Theory · Physics 2009-11-25 T. Abe , R. Seki

Analyzing general structure of the Green function of a strongly correlated electron system we have shown that for the regime of strong correlations Luttinger's theorem should be generalized in the following way: the volume of the Fermi…

Strongly Correlated Electrons · Physics 2007-05-23 M. M. Korshunov , S. G. Ovchinnikov

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 argue 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 (quasi)…

High Energy Physics - Theory · Physics 2009-10-28 I. J. R. Aitchison , N. E. Mavromatos