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Related papers: Fermi Surface Phenomena in the (2+1)d Four-Fermi M…

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We report on a potentially new class of non-Fermi liquids in (2+1)-dimensions. They are identified via the response functions of composite fermionic operators in a class of strongly interacting quantum field theories at finite density,…

High Energy Physics - Theory · Physics 2011-05-10 Hong Liu , John McGreevy , David Vegh

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

Exploiting the results of the exact solution for the ground state of the one-dimensional spinless quantum gas of Fermions and impenetrable Bosons with the mu/x_{ij}^2 particle-particle interaction, the Hellmann-Feynman theorem yields…

Strongly Correlated Electrons · Physics 2009-10-31 Rudolf A. Roemer , Paul Ziesche

We analyze the form of the fermionic propagator for 2D fermions interacting with massless overdamped bosons. Examples include a nematic and Ising ferromagnetic quantum-critical points, and fermions at a half-filled Landau level. Fermi…

Strongly Correlated Electrons · Physics 2009-04-29 Tigran A. Sedrakyan , Andrey V. Chubukov

We discuss the possibility of extracting phase shifts from finite volume energies for meson-meson scattering, where the mesons are fermion-antifermion bound states of the massive Schwinger model with SU(2) flavour symmetry. The existence of…

High Energy Physics - Lattice · Physics 2016-09-01 C. Gutsfeld , H. A. Kastrup , K. Stergios , J. Westphalen

We study relativistic fermionic systems in $3+1$ spacetime dimensions at finite chemical potential and zero temperature, from a path-integral point of view. We show how to properly account for the $i\varepsilon$ term that projects on the…

High Energy Physics - Theory · Physics 2024-02-26 Alessandro Podo , Luca Santoni

We investigate the Gross-Neveu model on the lattice at finite temperature and chemical potential in the limit of an infinite number of fermion flavours. We check the universality of the continuum limit of staggered and overlap fermions at…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Urs Wenger

We show a strong indication of the existence of a large Fermi surface in the one-dimensional Kondo lattice model. The characteristic wave vector of the model is found to be $k_F=(1+\rho )\pi /2$, $\rho $ being the density of the conduction…

Condensed Matter · Physics 2009-10-28 S. Moukouri , L. G. Caron

The large quantum oscillations observed in the thermoelectric power in the antiferromagnetic (AF) state of the heavy-fermion compound CeRh2Si2 disappear suddenly when entering in the polarized paramagnetic (PPM) state at Hc=26.5 T,…

Gross-Neveu model in 2+1 dimensions exhibits a continuous transition from gapless Dirac semimetal to the gapped quantum anomalous Hall (QAH) insulator at a finite (attractive) coupling, at which the inversion and time-reversal symmetry…

Strongly Correlated Electrons · Physics 2025-12-08 Gabriel Osiander Rein , Fakher F. Assaad , Igor F. Herbut

We extract scattering phases for fermion-fermion scattering from Monte Carlo simulations of the two-dimensional Gross-Neveu model. This is done by means of L\"uscher's method, which exploits the volume dependence of the energies of…

High Energy Physics - Lattice · Physics 2009-10-28 M. Goeckeler , H. A. Kastrup , J. Viola , J. Westphalen

In this paper we study a model of s-wave marginal Fermi liquid superconductor at two dimensions. Besides the usual Bardeen-Cooper-Schrieffer(BCS) point attractive interaction, the fermions in our system also interact {\em via} a long range…

Superconductivity · Physics 2007-05-23 Y. L. Liu , T. K. Ng

We study a 2-dimensional model of Fermi fields that is closely related to the Gross-Neveu model, and show that to leading order in 1/N a <psi-psi> condensate forms. This effect is independent of the chemical potential, a peculiarity that we…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alan Chodos , Hisakazu Minakata , Fred Cooper

In 2+1 dimensions, for low momenta, using dimensional renormalization we study the effect of a Chern-Simons field on the perturbative expansion of fermions self interacting through a Gross Neveu coupling. For the case of just one fermion…

High Energy Physics - Theory · Physics 2009-10-31 V. S. Alves , M. Gomes , S. V. L. Pinheiro , A. J. da Silva

We investigate the Kondo effect with Wilson fermions. This is based on a mean-field approach for the chiral Gross-Neveu model including four-point interactions between a light Wilson fermion and a heavy fermion. For massless Wilson…

High Energy Physics - Lattice · Physics 2021-12-30 Tsutomu Ishikawa , Katsumasa Nakayama , Kei Suzuki

The two-flavor Gross-Neveu model with U(2)$_L\times$U(2)$_R$ chiral symmetry in 1+1 dimensions is used to construct a novel variant of four-fermion theories with O(2)$_L\times$O(2)$_R$ chiral symmetry. The spontaneous breaking of the group…

High Energy Physics - Theory · Physics 2023-05-11 Michael Thies

Gross-Neveu type models with a finite number of fermion flavours are studied on a two-dimensional Euclidean space-time lattice. The models are asymptotically free and are invariant under a chiral symmetry. These similarities to QCD make…

High Energy Physics - Lattice · Physics 2011-11-10 Bjorn Leder

The Thirring model in 2+1 spacetime dimensions, in which $N$ flavors of relativistic fermion interact via a contact interaction between conserved fermion currents, is studied using lattice field theory simulations employing domain wall…

High Energy Physics - Lattice · Physics 2019-02-20 Simon Hands

Significant effort has been devoted to the study of "non-Fermi liquid" (NFL) metals: gapless conducting systems that lack a quasiparticle description. One class of NFL metals involves a finite density of fermions interacting with soft order…

Strongly Correlated Electrons · Physics 2019-09-04 Jeremias Aguilera Damia , Shamit Kachru , Srinivas Raghu , Gonzalo Torroba

We investigate the thermodynamics at finite density of a generalized $(2 + 1)$-dimensional Gross-Neveu model of $N$ fermion species with various types of four-fermion interactions. The motivation for considering such a generalized schematic…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 D. Ebert , D. Blaschke
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