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Motivated by the physics of graphene, we consider a model of N species of 2+1 dimensional four-component massless Dirac fermions interacting through a 3D instantaneous Coulomb interaction. We show that in the limit of infinitely strong…

Strongly Correlated Electrons · Physics 2007-07-11 D. T. Son

A simple approximate expression in real and reciprocal spaces is given for the static exchange-correlation kernel of a uniform electron gas interacting with the long-range part only of the Coulomb interaction. This expression interpolates…

Materials Science · Physics 2009-11-11 Julien Toulouse

The calculation of the full counting statistics of the charge within a finite interval of an interacting one-dimensional system of electrons is a fundamental, yet as of now unresolved problem. Even in the non-interacting case, charge…

Strongly Correlated Electrons · Physics 2024-03-11 Oleksiy Kashuba , Thomas L. Schmidt , Fabian Hassler , Andreas Haller , Roman P. Riwar

Anisotropic Dirac cones can appear in a number of correlated electron systems, such as cuprate superconductors and deformed graphene. We study the influence of long-range Coulomb interaction on the physical properties of an anisotropic…

Strongly Correlated Electrons · Physics 2015-06-17 Jing-Rong Wang , Guo-Zhu Liu

We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci

We study the integrable model of one-dimensional bosons with contact repulsion. In the limit of weak interaction, we use the microscopic hydrodynamic theory to obtain the excitation spectrum. The statistics of quasiparticles changes with…

Quantum Gases · Physics 2014-07-04 Zoran Ristivojevic

Studying a model of four-quark interaction with large correlation length we find out both the features peculiar an unitary fermi gas and the specific anomalous properties of the fermi systems with a fermion condensate. It is argued that a…

High Energy Physics - Phenomenology · Physics 2014-07-23 S. V. Molodtsov , G. M. Zinovjev

Studying the strong correlation effects in interacting Dirac fermion systems is one of the most challenging problems in modern condensed matter physics. The long-range Coulomb interaction and the fermion-phonon interaction can lead to a…

Strongly Correlated Electrons · Physics 2021-08-25 Xiao-Yin Pan , Zhao-Kun Yang , Xin Li , Guo-Zhu Liu

It is argued that the specific heat of $N$ massless Dirac fermions in 2 spatial dimensions interacting with 1/r Coulomb interactions is suppressed logarithmically relative to its non-interacting counterpart. The (dimensionless) coefficient…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Oskar Vafek

Here, we analyse two Dirac fermion species in two spatial dimensions in the presence of general quartic contact interactions. By employing functional bosonisation techniques, we demonstrate that depending on the couplings of the fermion…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Patricio Salgado-Rebolledo , Giandomenico Palumbo , Jiannis K. Pachos

The boson-fermion model, describing a mixture of itinerant electrons hybridizing with tightly bound electron pairs represented as hard-core bosons, is here generalized with the inclusion of a term describing on-site Coulomb repulsion…

Strongly Correlated Electrons · Physics 2009-11-07 Alfonso Romano

In one dimensional quantum gases there is a well known "duality" between hard core bosons and non-interacting fermions. However, at the field theory level, no exact duality connecting strongly interacting bosons to weakly interacting…

Quantum Physics · Physics 2022-01-14 Etienne Granet , Bruno Bertini , Fabian H. L. Essler

We study the fermionic dark matter (DM) particle interacting with Standard Model quarks via a light pseudoscalar mediator. We consider separately the scenarios for which the DM-pseudoscalar coupling is $CP$ conserving or $CP$ violating. We…

High Energy Physics - Phenomenology · Physics 2016-12-22 Kwei-Chou Yang

We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting…

Statistical Mechanics · Physics 2025-05-16 Abhishek Raj , Vadim Oganesyan , Antonello Scardicchio

In the present article, we show that a simple modification to the Einstein-Hilbert action can explain the possibility of mutual interaction between the cosmic fluids. That is achieved considering the Weyl Integrable Spacetime in the…

General Relativity and Quantum Cosmology · Physics 2022-06-15 S. Chatzidakis , A. Giacomini , P. G. L. Leach , G. Leon , A. Paliathanasis , S. Pan

Full 3D calculations of small two-component Fermi gases under highly-elongated confinement, in which unlike fermions interact through short-range potentials with variable atom-atom s-wave scattering length, are performed using the…

Other Condensed Matter · Physics 2016-04-22 D. Blume , D. Rakshit

The non-linear response of a beam splitter to the coincident arrival of interacting particles enables numerous applications in quantum engineering and metrology yet poses considerable challenge to achieve focused interactions on the…

The type-II Weyl/Dirac fermions are a generalization of conventional or type-I Weyl/Dirac fermions, whose conic spectrum is tilted such that the Fermi surface becomes lines in two dimensions, and surface in three dimensions rather than…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

The existence of mirror fermions interacting strongly under a new gauge group and having masses near the electroweak scale has been recently proposed as a viable alternative to the standard-model Higgs mechanism. The main purpose of this…

High Energy Physics - Phenomenology · Physics 2009-10-31 George Triantaphyllou

For a general class of conducting polymers with arbitrary large unit cell and different on-site Coulomb repulsion values on different type of sites, I demonstrate in exact terms the emergence possibility of an upper, interaction created…

Strongly Correlated Electrons · Physics 2014-06-25 Zsolt Gulacsi