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We complete the proof started in "Universality of one-dimensional Fermi systems, I." of the universal Luttinger liquid relations for a general model of spinning fermions on a lattice, by making use of the Ward Identities due to…

Mathematical Physics · Physics 2015-06-15 Giuseppe Benfatto , Pierluigi Falco , Vieri Mastropietro

Strong repulsive interactions within a one dimensional Fermi system in a two-probe configuration normally lead to a reduced off-resonance conductance. We show that if the repulsive interaction extends to the contact regions, a strong…

Strongly Correlated Electrons · Physics 2007-06-18 Dan Bohr , Peter Schmitteckert

We construct systematic expansions around four and two spatial dimensions for a Fermi gas near the unitarity limit. Near four spatial dimensions such a Fermi gas can be understood as a weakly-interacting system of fermionic and bosonic…

Other Condensed Matter · Physics 2008-08-25 Yusuke Nishida

We consider a two-dimensional gas of interacting fermions in presence of an external constant magnetic field: the system is extended and homogeneous, and thus assumed to be invariant under magnetic translations. Working within the…

Mathematical Physics · Physics 2026-02-18 Horia D. Cornean , Emanuela Laura Giacomelli , Domenico Monaco , Mikkel Hviid Thorn

We treat the trapped two-component Fermi system, in which unlike fermions interact through a two-body short-range potential having no bound state but an infinite scattering length. By accurately solving the Schroedinger equation for up to…

Other Condensed Matter · Physics 2009-11-13 D. Blume , J. von Stecher , Chris H. Greene

We investigate the temperature dependence of the shear viscosity and spin diffusion in a two-dimensional Fermi gas with contact interactions, as realized in ultra-cold atomic gases. We describe the transport coefficients in terms of a…

Quantum Gases · Physics 2012-07-16 Tilman Enss , Carolin Küppersbusch , Lars Fritz

Itinerant ferromagnetism in dilute Fermi gases is predicted to emerge at values of the gas parameter where second-order perturbation theory is not accurate enough to properly describe the system. We have revisited perturbation theory for…

Quantum Gases · Physics 2024-08-07 Jordi Pera , Joaquim Casulleras , Jordi Boronat

One-dimensional quantum systems admit duality relations that put hard core spinless bosons and fermions in one-to-one correspondence via Girardeau's mapping theorem. The simplest models of soft bosons interacting via zero-range potentials…

Quantum Gases · Physics 2021-02-24 Manuel Valiente

We present the exact solution of a model of interacting fermions in any dimension with a pure repulsive interaction projecting out a given Cooper channel. The solution rests upon the infinite ranged character of the interaction in real…

Superconductivity · Physics 2009-10-31 H. R. Krishnamurthy , B. Sriram Shastry , IISc , Bangalore

The Unitary Fermi Gas (UFG) is one of the most strongly interacting systems known to date, as it saturates the unitarity bound on the quantum mechanical scattering cross section. The UFG corresponds to a two-component Fermi gas in the limit…

High Energy Physics - Lattice · Physics 2011-11-04 Joaquín E. Drut , Timo A. Lähde , Timour Ten

Generalized thermodynamic relations are introduced into the framework of a relativistic perfect spin hydrodynamics. They allow for consistent treatment of spin degrees of freedom, including the use of spin tensors whose structure follows…

High Energy Physics - Phenomenology · Physics 2024-07-09 Wojciech Florkowski , Mykhailo Hontarenko

We establish that two-dimensional dipolar quantum gases admit a universal description, i.e., their thermodynamic properties are independent of details of the interaction at short distances. The only relevant parameters are the dipole length…

Quantum Gases · Physics 2021-02-02 Johannes Hofmann , Wilhelm Zwerger

We obtain universal relations for fluid spheres without rotation made of dark energy assuming the Extended-Chaplygin Gas equation-of-state. After integrating the relevant differential equations, we make a fit to obtain the unknown…

General Relativity and Quantum Cosmology · Physics 2025-02-26 G. Panotopoulos

We construct systematic expansions around four and two spatial dimensions for a Fermi gas near the unitarity limit. Near four spatial dimensions such a Fermi gas can be understood as a weakly interacting system of fermionic and bosonic…

Other Condensed Matter · Physics 2009-02-05 Yusuke Nishida , Dam Thanh Son

The properties of two-component Fermi gases with zero-range interactions are universal. We use an explicitly correlated Gaussian basis set expansion approach to investigate small equal-mass two-component Fermi gases under spherically…

Quantum Gases · Physics 2015-07-09 X. Y. Yin , D. Blume

The partition function on the three-sphere of N=3 Chern-Simons-matter theories can be formulated in terms of an ideal Fermi gas. In this paper we show that, in theories with N=2 supersymmetry, the partition function corresponds to a gas of…

High Energy Physics - Theory · Physics 2015-06-05 Marcos Marino , Pavel Putrov

We show that the wave function of a one dimensional spinor gas with contact $s$-wave interaction, either bosonic or fermionic, can be mapped to the direct product of the wave function of a spinless Fermi gas with short-range $p$-wave…

Quantum Gases · Physics 2016-09-13 Li Yang , Han Pu

Fermi gases with short-range interactions are ubiquitous in ultracold atomic systems. In the absence of spin-flipping processes the number of atoms in each spin species is conserved separately, and we discuss the associated Ward identities.…

Quantum Gases · Physics 2013-02-06 Tilman Enss

A universal relation connecting Fermi surface (FS) to the symmetry of the gap function in BCS-like superconductors is derived. It is found that the shape of the FS can be deduced directly from the symmetry of the superconducting gap…

Superconductivity · Physics 2009-10-31 Gang Su , Masuo Suzuki

We derive theoretically an exact relation between Tan's universal contact and the photo-excitation rate of a strongly interacting Fermi gas, in the case of optically transferring fermionic pairs to a more tightly bound molecular state. Our…

Quantum Gases · Physics 2022-02-11 Jia Wang , Xia-Ji Liu , Hui Hu
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