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A new dynamical symmetry breaking model of electroweak interactions is proposed based on interacting fermions. Two fermions of different SU_{L}(2) representations form a symmetry breaking condensate and generate the lepton and quark masses.…

High Energy Physics - Phenomenology · Physics 2009-01-07 G. Cynolter , E. Lendvai , G. Pocsik

We analyze the effects of imbalancing the populations of two-component trapped fermions, in the BEC limit of the attractive interaction between different fermions. Starting from the gap equation with two fermionic chemical potentials, we…

Superconductivity · Physics 2007-05-23 P. Pieri , G. C. Strinati

We study theoretically the phase diagram of strongly coupled two-dimensional Bose-Fermi mixtures interacting with attractive short-range potentials as a function of the particle densities. We focus on the limit where the size of the bound…

Quantum Gases · Physics 2023-05-31 Jonas von Milczewski , Félix Rose , Richard Schmidt

A method is introduced to renormalize the zero-range interaction for use in mean-field and many-body theory, starting from two-body calculations. The density-renormalized delta-function interaction is then applied using mean-field theory to…

Superconductivity · Physics 2015-06-25 Javier von Stecher , Chris H. Greene

We investigate the nonequilibrium quantum dynamics of a single and two heavy fermionic impurities being harmonically trapped and repulsively interacting with a finite ensemble of majority fermions. A quench of the potential of the majority…

Quantum Gases · Physics 2020-05-20 J. Kwasniok , S. I. Mistakidis , P. Schmelcher

We study a system of $N$ noninteracting spinless fermions in a confining, double-well potential in one dimension. When the Fermi energy is close to the value of the potential at its local maximum we show that physical properties, such as…

Statistical Mechanics · Physics 2020-05-19 Naftali R. Smith , David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

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

Motivated by experiments with cold atoms, we investigate a mobile impurity immersed in a Fermi sea in three dimensions at zero temperature by means of the functional renormalization group. We first perform the derivative expansion of the…

Quantum Gases · Physics 2017-05-15 Kazuhiko Kamikado , Takuya Kanazawa , Shun Uchino

It is shown how the exchange interaction, the dipole-dipole interaction, and the Dzyaloshinsky-Moriya interaction between electronic spin-density fluctuations emerge naturally from a field-theoretic framework that couples electrons to the…

Strongly Correlated Electrons · Physics 2013-10-01 D. Belitz , T. R. Kirkpatrick

Attractively interacting two-component mixtures of fermionic particles confined in a one-dimensional harmonic trap are investigated. Properties of balanced and imbalanced systems are systematically explored with the exact diagonalization…

Quantum Gases · Physics 2023-08-24 Daniel Pęcak , Tomasz Sowiński

A model of interacting one--dimensional fermions confined to a harmonic trap is proposed. The model is treated analytically to all orders of the coupling constant by a method analogous to that used for the Luttinger model. As a first…

Quantum Physics · Physics 2009-11-06 W. Wonneberger

We reinvestigate the interaction of massless fermions with massless bosons at finite temperature. Specifically, we calculate the self-energy of massless fermions due the interaction with massless bosons at high temperature, which is the…

High Energy Physics - Phenomenology · Physics 2015-06-25 H. C. de Godoy Caldas

In this article we investigate the properties of an impurity immersed in a superfluid of strongly correlated spin 1/2 fermions. For resonant interactions, we first relate the stability diagram of dimer and trimer states to the three-body…

Quantum Gases · Physics 2019-08-28 Matthieu Pierce , Xavier Leyronas , Frédéric Chevy

We explore repulsive Fermi polarons in one-dimensional harmonically trapped few-body mixtures of ultracold atoms using as a case example a $^6$Li-$^{40}$K mixture. A characterization of these quasiparticle-like states, whose appearance is…

Quantum Gases · Physics 2019-04-22 S. I. Mistakidis , G. C. Katsimiga , G. M. Koutentakis , P. Schmelcher

We apply Dynamical Mean-Field Theory to strongly interacting fermions in an inhomogeneous environment. With the help of this Real-Space Dynamical Mean-Field Theory (R-DMFT) we investigate antiferromagnetic states of repulsively interacting…

Strongly Correlated Electrons · Physics 2008-09-11 M. Snoek , I. Titvinidze , C. Toke , K. Byczuk , W. Hofstetter

By combining the tetrahedron method with the cluster perturbation theory (CPT), we present an accurate method to numerically calculate the density of states of interacting fermions without introducing the Lorentzian broadening parameter…

Strongly Correlated Electrons · Physics 2016-06-09 Kazuhiro Seki , Seiji Yunoki

Quantum interactions exchanging different types of particles play a pivotal r\^{o}le in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspective. Here, we consider a system made of two fermions…

Mathematical Physics · Physics 2025-06-12 J. -B. Bru , W. de Siqueira Pedra , A. Ramer dos Santos

We discuss an equilibrium mean-field properties of mixtures consisting of bosons and spin-polarized fermionic atoms with a point-like interaction in an arbitrary dimension $2<d<4$. Particularly, we discuss except the standard weak-coupling…

Quantum Gases · Physics 2023-05-10 O. Hryhorchak , V. Pastukhov

We calculate the exact spectral function of a single impurity repulsively interacting with a bath of fermions in one-dimensional lattices, by deriving the explicit expression of the form factor for both regular Bethe states and the…

Quantum Gases · Physics 2025-04-22 Hui Hu , Jia Wang , Xia-Ji Liu

We consider a mixture of a single-component Bose gas and a two-component Fermi gas at temperatures where the Bose gas is almost fully condensed. In such a mixture, two fermionic atoms can interact with each other by exchanging a phonon that…

Statistical Mechanics · Physics 2014-10-13 M. J. Bijlsma , B. A. Heringa , H. T. C. Stoof