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Two issues are treated in this work: (i) the generic fact that if a fermionic superfluid in the BCS regime overflows from a narrow container into a much wider one, pairing is much suppressed at the overflow point. Physical examples where…

Nuclear Theory · Physics 2015-05-30 P. Schuck , X. Viñas

We study the ground state properties of a polarized two-component Fermi gas on multileg attractive-$U$ Hubbard ladders. Using exact diagonalization and density matrix renormalization group method simulations, we construct grand canonical…

Quantum Gases · Physics 2023-05-04 Anastasia Potapova , Ian Pilé , Tian-Cheng Yi , Rubem Mondaini , Evgeni Burovski

This note addresses the problem of constructing a proper bosonized description of the collective modes in strongly interacting (non-)Fermi liquids which is specific to two spatial dimensions. Although, in a mild form, this subtlety exists…

Strongly Correlated Electrons · Physics 2025-04-09 D. V. Khveshchenko

From an extensive calculation of static properties of a trapped Fermi superfluid at zero temperature using a density-functional formulation, we demonstrate a universal behavior of its observables, such as energy, chemical potential, radius…

Other Condensed Matter · Physics 2009-11-13 S. K. Adhikari

The Luttinger model is a paradigm for the breakdown due to interactions of the Fermi liquid description of one-dimensional massless Dirac fermions. Attempts to discretize the model on a one-dimensional lattice have failed to reproduce the…

Strongly Correlated Electrons · Physics 2025-09-16 V. A. Zakharov , J. Tworzydlo , C. W. J. Beenakker , M. J. Pacholski

We investigate a density-functional theory (DFT) approach for an unpolarized trapped dilute Fermi gas in the unitary limit . A reformulation of the recent work of T. Papenbrock [Phys. Rev. A, {\bf 72}, 041602(R) (2005)] in the language of…

Other Condensed Matter · Physics 2009-11-11 Brandon P. van Zyl , D. A. W. Hutchinson , Melodie Need

Recent advances in single atom manipulation have made it possible to create "wires" in the form of atomic scale linear structures on a semiconductor surface. If such structures are to be used in future electronic devices, it will be…

Strongly Correlated Electrons · Physics 2007-05-23 L. K. Dash , A. J. Fisher

Fermionic condensate is investigated in $(D+1)$-dimensional de Sitter spacetime by using the cutoff function regularization. In order to fix the renormalization ambiguity for massive fields an additional condition is imposed, requiring the…

High Energy Physics - Theory · Physics 2021-12-01 A. A. Saharian , E. R. Bezerra de Mello , A. S. Kotanjyan , T. A. Petrosyan

An evolution equation for diffractive production with a definite rapidity gap is given. Coherent $\gamma^*A$ collisions in the unitarity (saturation) region are studied with the conclusion that the diffractive mass is always on the order of…

High Energy Physics - Phenomenology · Physics 2025-12-09 A. H. Mueller

This paper explores the behavior of systems of cold fermions as they approach unitarity above the critical temperature. As we move away from unitarity, by decreasing the scattering length, the dilaton, the Goldstone boson resulting from the…

Quantum Gases · Physics 2023-02-28 Shashin Pavaskar , Ira Z. Rothstein

The Nambu - Jona-Lasinio model in 2+1 dimensions is simulated for non-zero baryon chemical potential with a diquark source term. No evidence for a BCS condensate or gap is seen at high density; rather, critical behaviour with novel…

High Energy Physics - Lattice · Physics 2009-11-07 Simon Hands

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

We consider a two-dimensional Fermi liquid coupled to low-energy commensurate spin fluctuations. At small coupling, the hole Fermi surface is large and centered around $(\pi,\pi)$. We show that as the coupling increases, the shape of the…

Condensed Matter · Physics 2008-02-03 Andrey V. Chubukov , Dirk K. Morr , Konstantin A. Shakhnovich

Properties of confined mesoscopic systems have been extensively studied numerically over recent years. We discuss an analytical approach to the study of finite rotating fermionic systems in two dimension. We first construct the energy…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 Sankalpa Ghosh , M. V. N. Murthy , Subhasis Sinha

We introduce a new multiscale decomposition of the Fermi propagator based on its parametric representation. We prove that the corresponding sliced propagator obeys the same direct space bounds than the previous decomposition used by the…

Mathematical Physics · Physics 2011-05-23 Margherita Disertori , Jacques Magnen , Vincent Rivasseau

We present strong theoretical evidence that a Larkin-Ovchinnikov (LOFF/FFLO) pairing phase is favoured over the homogeneous superfluid and normal phases in three-dimensional unitary Fermi systems. Using a Density Functional Theory (DFT)…

Superconductivity · Physics 2009-01-19 Aurel Bulgac , Michael McNeil Forbes

We report exact results for the partition function for free Dirac fermions on a half line with physically sensible boundary conditions. An exact effective action for general backscattering amplitudes is derived. The action also includes the…

Condensed Matter · Physics 2009-10-28 Manuel Fuentes , Ana Lopez , Eduardo Fradkin

We present a detailed numerical and theoretical analysis of the recently discovered phenomenon of coherent forward scattering. This effect manifests itself as a macroscopic interference peak in the forward direction of the momentum…

Disordered Systems and Neural Networks · Physics 2014-12-02 S. Ghosh , N. Cherroret , B. Grémaud , C. Miniatura , D. Delande

We theoretically explore the crossover from three dimensions (3D) to two (2D) in a strongly interacting atomic Fermi superfluid through confining the transverse spatial dimension. Using the gaussian pair fluctuation theory, we determine the…

Quantum Gases · Physics 2017-10-18 Umberto Toniolo , Brendan C. Mulkerin , Chris J. Vale , Xia-Ji Liu , Hui Hu

We study a set of many-body wave-functions of Fermions that are naturally written using momentum space basis and allow for quantum superposition of Fermion occupancy, $\{n_{\bf k}\}$. This {enables} us to capture the fluctuations of the…

Strongly Correlated Electrons · Physics 2024-08-05 Ankush Chaubey , Harsh Nigam , Subhro Bhattacharjee , K. Sengupta