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Related papers: The BCS Functional for General Pair Interactions

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We address the thermodynamics, density profiles and superfluid density of trapped fermions undergoing BCS-BEC crossover, with and without population imbalance. Our approach represents a fully consistent treatment of "pseudogap effects",…

Strongly Correlated Electrons · Physics 2011-09-13 Yan He , Chih-Chun Chien , Qijin Chen , K. Levin

We study the BCS superfluid transition in a single-component fermionic gas of dipolar particles loaded in a tight bilayer trap, with the electric dipole moments polarized perpendicular to the layers. Based on the detailed analysis of the…

Quantum Gases · Physics 2015-05-20 M. A. Baranov , A. Micheli , S. Ronen , P. Zoller

In this paper we study a model of s-wave marginal Fermi liquid superconductor at two dimensions. Besides the usual Bardeen-Cooper-Schrieffer(BCS) point attractive interaction, the fermions in our system also interact {\em via} a long range…

Superconductivity · Physics 2007-05-23 Y. L. Liu , T. K. Ng

We report the results of zero temperature quantum Monte Carlo simulations and zero temperature mean-field calculations of the attractive Hubbard model on chains, ladders, and square lattices. We investigated the predictability of the BCS…

Condensed Matter · Physics 2009-10-31 M. Guerrero , G. Ortiz , J. E. Gubernatis

We consider the development of Cooper pairs in a self-consistent Hartree Fock mean field for the even Sm isotopes. Results are presented at the level of a BCS treatment, a number-projected BCS treatment and an exact treatment using the…

Nuclear Theory · Physics 2008-11-26 G. G. Dussel , S. Pittel , J. Dukelsky , P. Sarriguren

We investigate the homogeneous superfluid mixtures of Bardeen-Cooper-Schrieffer~(BCS) superfluid originating from pairing two-species fermionic atoms and superfluidity stemming from condensation of bosonic atoms. By integrating out the…

Quantum Gases · Physics 2025-03-04 Dong-Chen Zheng , Yu-Xin Liao , Wen Lin , Renyuan Liao

We study the stationary Josephson effect for neutral fermions across the BCS-BEC crossover, by solving numerically the Bogoliubov-de Gennes equations at zero temperature. The Josephson current is found to be considerably enhanced for all…

Other Condensed Matter · Physics 2007-07-25 A. Spuntarelli , P. Pieri , G. C. Strinati

A Bethe-Salpeter treatment of Cooper pairs (CPs) based on an ideal Fermi gas (IFG) "sea"' yields the familiar negative-energy, two-particle bound-state if two-hole CPs are ignored, but is meaningless otherwise as it gives purely-imaginary…

Superconductivity · Physics 2007-05-23 V. C. Aguilera-Navarro , M. Fortes , M. de Llano

We study the pair-breaking effect of rotation on a cold Fermi gas in the BCS-BEC crossover region. In the framework of BCS theory, which is supposed to be qualitatively correct at zero temperature, we find that in a trap rotating around a…

Other Condensed Matter · Physics 2008-09-24 Michael Urban , Peter Schuck

This Letter provides the solution to a yet unsolved basic problem of Solid State Physics: the ground state energy of an arbitrary number of Cooper pairs interacting via the Bardeen-Cooper-Schrieffer potential. We here break a 50 year old…

Superconductivity · Physics 2011-11-28 Michel Crouzeix , Monique Combescot

We show that the energy gap for the BCS gap equation is $ \Xi = \mu \left( 8 e^{-2} + o(1)\right) \exp\left( \frac{\pi}{2\sqrt{\mu} a}\right) $ in the low density limit $\mu \to 0$. Together with the similar result for the critical…

Mathematical Physics · Physics 2021-02-16 Asbjørn Bækgaard Lauritsen

We derive a generalized time-dependent Galilean-invariant density-functional (DF) equation appropriate to study the stationary and non-stationary properties of a trapped Fermi super-fluid in the Bardeen-Cooper-Schrieffer (BCS) to…

Quantum Gases · Physics 2015-05-18 S. K. Adhikari

The standard phenomenological Hamiltonian of a small superconducting Josephson junction in the charge regime (Cooper Pair Box) produces a model of the effective charge qubit with possible applications to quantum information processing. In…

Quantum Physics · Physics 2010-04-29 Robert Alicki

We show that a quartic contact interaction between charged fermions can lead to Cooper pairing and a superconducting instability in the background of a charged asymptotically Anti-de Sitter black hole. For a massless fermion we obtain the…

High Energy Physics - Theory · Physics 2014-11-20 Thomas Hartman , Sean A. Hartnoll

We perform large-scale, numerically exact calculations on the two-dimensional interacting Fermi gas with a contact attraction. Reaching much larger lattice sizes and lower temperatures than previously possible, we determine systematically…

Quantum Gases · Physics 2022-08-15 Yuan-Yao He , Hao Shi , Shiwei Zhang

The low-energy modes of a spin-imbalanced superfluid Fermi gas in the Bardeen-Cooper-Schrieffer (BCS) side are studied. The gas is assumed to be sufficiently dilute so that the pairing of atoms can be considered effective only in s-wave…

Quantum Gases · Physics 2017-12-06 F. Matera , M. F. Wagner

The thermal field theory is applied to fermionic superfluids by doubling the degrees of freedom of the BCS theory. We construct the two-mode states and the corresponding Bogoliubov transformation to obtain the BCS thermal vacuum. The…

Superconductivity · Physics 2018-08-14 Xu-Yang Hou , Ziwen Huang , Hao Guo , Yan He , Chih-Chun Chien

We investigate pairing fluctuation effects in a two band fermionic system, where a shallow band in the Bardeen--Cooper--Schrieffer--Bose--Einstein condensation (BCS-BEC) crossover regime is coupled with a weakly interacting deep band.…

Superconductivity · Physics 2020-01-23 Hiroyuki Tajima , Andrea Perali , Pierbiagio Pieri

We discuss on the pairing mechanism of fermions with mismatch in their fermi momenta due to a mass asymmetry. Using a variational ansatz for the ground state we also discuss the BCS -BEC crossover of this system. It is shown that the…

Superconductivity · Physics 2009-12-29 S. A. Silotri , D. Angom , H. Mishra , Amruta Mishra

The influence of the Zeeman energy and the Landau levels (LLs) arising from an applied magnetic field ${\bf B}$ upon the critical temperature $T_c$ is studied using a fully quantum mechanical method within the framework of the…

Superconductivity · Physics 2025-04-09 Aiying Zhao , Richard A Klemm , Qiang Gu