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Related papers: Interacting fermions in two dimensions: beyond the…

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We carefully study how the fermion-fermion interactions affect the low-energy states of a two-dimensional spin-$1/2$ fermionic system on the kagom\'{e} lattice with a quadratic band crossing point. With the help of the renormalization group…

Strongly Correlated Electrons · Physics 2021-04-07 Ya-Hui Zhai , Jing Wang

An exactly solvable model of two-component interacting Fermi vapour in two dimension within Thomas Fermi approach has been proposed. We assume a realistic off-diagonal s-wave interaction between fermions in the two hyperfine states. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sankalpa Ghosh , M. V. N. Murthy , Subhasis Sinha

We construct an effective low energy Hamiltonian which describes fermions dwelling on a deformed honeycomb lattice with dislocations and disclinations, and with an arbitrary hopping parameters of the corresponding tight binding model. It…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Ara Sedrakyan , Andreas Sinner , Klaus Ziegler

We review the current understanding of the uniform two-dimensional (2D) Fermi gas with short-range interactions. We first outline the basics of two-body scattering in 2D, including a discussion of how such a 2D system may be realized in…

Quantum Gases · Physics 2015-10-21 Jesper Levinsen , Meera M. Parish

We study the phase diagram of interacting spinless fermions on the honeycomb bilayer at charge neutrality using large-scale quantum Monte Carlo simulations. In the noninteracting limit, the low-energy spectrum features quadratically…

Strongly Correlated Electrons · Physics 2026-05-26 Zi Hong Liu , Lukas Janssen

We investigate the interaction energy and the possibility of itinerant ferromagnetism in a strongly interacting Fermi gas at zero temperature in the absence of molecule formation. The interaction energy is obtained by summing the…

Quantum Gases · Physics 2014-11-27 Lianyi He

We qualify the main features of the spectrum of the Hamiltonian of point interaction for a three-dimensional quantum system consisting of three point-like particles, two identical fermions, plus a third particle of different species, with…

Mathematical Physics · Physics 2018-12-05 Simon Becker , Alessandro Michelangeli , Andrea Ottolini

We study 1D fermions with photoassociation or with a narrow Fano-Feshbach resonance described by the Boson-Fermion resonance model. Using thebosonization technique, we derive a low-energy Hamiltonian of the system. We show that at low…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Edmond Orignac , Roberta Citro

We consider the single particle correlations and momentum distributions in a gas of strongly interacting spinless 1D fermions with zero-range interactions. This system represents a fermionic version of the Tonks-Girardeau gas of…

Other Condensed Matter · Physics 2009-11-10 Scott A. Bender , Kevin D. Erker , Brian E. Granger

The properties of the one-dimensional $SU(3)$ population-imbalanced fermions are discussed. The system is assumed to be in the two-body resonance where all two-body scattering lengths diverge, and the only interaction between fermions that…

Quantum Gases · Physics 2024-02-13 O. Hryhorchak , G. Panochko , V. Pastukhov

We introduce a class of interacting fermionic quantum models in $d$ dimensions with nodal interactions that exhibit superdiffusive transport. We establish non-perturbatively that the nodal structure of the interactions gives rise to…

Statistical Mechanics · Physics 2025-10-27 Yu-Peng Wang , Jie Ren , Sarang Gopalakrishnan , Romain Vasseur

We study how a system of one-dimensional spin-1/2 fermions at temperatures well below the Fermi energy approaches thermal equilibrium. The interactions between fermions are assumed to be weak and are accounted for within the perturbation…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 K. A. Matveev , Zoran Ristivojevic

Motivated by recent surprising experimental findings, we develop a strong-coupling theory for Bose-Fermi mixtures capable of treating resonant inter-species interactions while satisfying the compressibility sum rule. We show that the…

Quantum Gases · Physics 2024-02-13 Xin Shen , Nir Davidson , Georg M. Bruun , Mingyuan Sun , Zhigang Wu

We study the low energy effective theory for a non-Fermi liquid state in 2+1 dimensions, where a transverse U(1) gauge field is coupled with a patch of Fermi surface with N flavors of fermion in the large N limit. In the low energy limit,…

Strongly Correlated Electrons · Physics 2009-10-01 Sung-Sik Lee

Inspired by the renewed experimental activities on $p$-wave resonantly interacting atomic Fermi gases, we theoretically investigate some experimental observables of such systems at zero temperature in two dimensions, using both mean-field…

Quantum Gases · Physics 2019-08-21 Hui Hu , Xia-Ji Liu

The low-temperature kinetics of the strongly correlated electron liquid inhabiting a solid is analyzed. It is demonstrated that a softly damped branch of transverse zero sound emerges when several bands cross the Fermi surface…

Strongly Correlated Electrons · Physics 2010-10-22 V. A. Khodel , J. W. Clark , M. V. Zverev

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

An effective interaction between fermions in a Bose-Fermi mixture is derived. It is induced by density fluctuations of the bosonic background. The contributions from states containing both one and two virtual phonons are taken into account…

Soft Condensed Matter · Physics 2008-12-18 F. Matera

We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the…

Quantum Gases · Physics 2013-06-05 S. Tölle , H. -W. Hammer , B. Ch. Metsch

We consider models of heavy fermions in the strong coupling or local moment limit and include phonon degrees of freedom on the conduction electrons. Due to the large mass or low coherence temperature of the heavy fermion state, it is shown…

Strongly Correlated Electrons · Physics 2010-03-02 M. Raczkowski , P. Zhang , F. F. Assaad , T. Pruschke , M. Jarrell