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Motivated by a scarcity of simple and analytically tractable models of superconductivity from strong repulsive interactions, we introduce a simple tight-binding lattice model of fermions with repulsive interactions that exhibits…

Superconductivity · Physics 2019-02-12 Kevin Slagle , Yong Baek Kim

We complement previous functional renormalization group (fRG) studies of the two-dimensional Hubbard model by mean-field calculations. The focus falls on Van Hove filling and the the hopping amplitude t'/t=0.341. The fRG data suggest a…

Strongly Correlated Electrons · Physics 2019-09-04 Kambis Veschgini , Manfred Salmhofer

We determine the phase-diagram of a one-dimensional system of hard-core lattice bosons interacting via repulsive three-body interactions by analytic methods and extensive quantum Monte-Carlo simulations. Such three-body interactions can be…

Other Condensed Matter · Physics 2015-05-13 B. Capogrosso-Sansone , S. Wessel , H. P. Büchler , P. Zoller , G. Pupillo

We examine a system of three-bosons confined to two dimensions in the presence of a perpendicular magnetic field within the framework of the adiabatic hyperspherical method. For the case of zero-range, regularized pseudo-potential…

Atomic Physics · Physics 2016-01-20 Seth T. Rittenhouse , Andrew Wray , B. L. Johnson

We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe…

Starting from the historical Fermi four-fermion low-energy effective electroweak interactions Lagrangian for the third generation of quarks, augmented by an NJL type interaction responsible for dynamical symmetry breaking and heavy quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Dmitrašinović

We study the three-boson bound-state mass and wave functions for ground and excited states within the three-body relativistic framework with Kamada and Gl\"ocke boosted potentials in the limit of a zero-range interaction. We adopt a…

Nuclear Theory · Physics 2021-11-10 K. Mohseni , A. J. Chaves , D. R. da Costa , T. Frederico , M. R. Hadizadeh

We study the $2+1$ dimensional boson-fermion duality in the presence of background curvature and electromagnetic fields. The main players are, on the one hand, a massive complex $|\phi|^4$ scalar field coupled to a $U(1)$…

Strongly Correlated Electrons · Physics 2018-12-19 Yago Ferreiros , Eduardo Fradkin

We study the fermion-boson coupled system in $d=3-\epsilon$ space dimensions near the quantum phase transition; infinite many boson modes located on a sphere become critical simultaneously, which is dubbed "critical boson sphere" (CBS). The…

Strongly Correlated Electrons · Physics 2024-02-02 Zhiming Pan , Xiao-Tian Zhang

We study one-dimensional strongly interacting Bose-Fermi mixtures by both the exact Bethe-ansatz method and variational perturbation theory within the degenerate ground state subspace of the system in the infinitely repulsive limit. Based…

Quantum Gases · Physics 2016-02-09 Haiping Hu , Liming Guan , Shu Chen

We investigate the one-dimensional mixture of scalar bosons and spin polarized fermions interacting through a $\delta$-function potential. Using a thermodynamic description derived by employing a lattice embedding of the continuum model and…

Quantum Gases · Physics 2019-02-08 Ovidiu I. Patu , Andreas Klumper

We consider fermions on a 2D lattice interacting repulsively on the same site and attractively on the nearest neighbor sites. The model is relevant, for instance, to study the competition between antiferromagnetism and superconductivity in…

Superconductivity · Physics 2009-11-07 F. Pistolesi , Ph. Nozieres

An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is considered. For a given number of particles in a given angular momentum sector, any energy level can be obtained exactly by means of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Stefan Mashkevich , Sergey Matveenko , Stéphane Ouvry

Repulsive Bose-Einstein condensate, where the short-range interaction is included up to the third order by the interaction radius, demonstrates existence of a bright soliton in a narrow interval of parameters. This soliton is studied here…

Quantum Gases · Physics 2020-03-30 Pavel A. Andreev , K. V. Antipin , Mariya Iv. Trukhanova

We investigate the problem of mechanical stability in two-dimensional Bose-Fermi mixtures at zero temperature, focusing on systems with a tunable Bose-Fermi (BF) interaction and a weak but finite boson-boson (BB) repulsion. The analysis is…

Quantum Gases · Physics 2026-02-19 Pietro Cordioli , Leonardo Pisani , Pierbiagio Pieri

A general time-dependent projection technique is applied to the study of the dynamics of quantum correlations in a system consisting of interacting fermionic and bosonic subsystems, described by the Jaynes-Cummings Hamiltonian. The…

Quantum Physics · Physics 2015-06-26 E. R. Takano Natti , A. F. R de Toledo Piza

We consider one-dimensional theories of chiral fermions and bosons on a lattice, which arise as edge states of two-dimensional topological matter breaking time-reversal invariance. We show that hard core bosons or their spin chain…

Quantum Gases · Physics 2025-01-28 Manuel Valiente

We study a mixture of $N_{b}$ bosons with point hard-core boson-boson interactions and $N_{f}$ noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential.…

Quantum Gases · Physics 2009-10-01 Xiaoming Cai , Liming Guan , Shu Chen , Yajiang Hao , Yupeng Wang

A one-dimensional system of bosons interacting with contact and single-Gaussian forces is studied with an expansion in hyperspherical harmonics. The hyperradial potentials are calculated using the link between the hyperspherical harmonics…

Nuclear Theory · Physics 2017-10-03 N. K. Timofeyuk , D. Baye

We consider either 3 spinless bosons or 3 equal mass spin-1/2 fermions, interacting via a short range potential of infinite scattering length and trapped in an isotropic harmonic potential. For a zero-range model, we obtain analytically the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin
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