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We investigate pairing in a strongly interacting two-component Fermi gas with positive scattering length. In this regime, pairing occurs at temperatures above the superfluid critical temperature; unbound fermions and pairs coexist in…

Finite temperature Hartree-Fock-Bogoliubov calculations are performed in Sn isotopes using Skyrme and zero-range, density-dependent pairing interactions. For both stable and very neutron-rich nuclei the critical temperature at which pairing…

Nuclear Theory · Physics 2008-11-26 E. Khan , Nguyen Van Giai , N. Sandulescu

We discuss the pairing gap, a measure for nuclear pairing correlations, in chains of spherical, semi-magic nuclei in the framework of self-consistent nuclear mean-field models. The equations for the conventional BCS model and the…

Nuclear Theory · Physics 2011-10-11 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn

We compute singlet pairing gaps and critical temperatures in pure neutron matter with different many-body approximations. Medium effects tend to reduce gaps and critical temperatures compared to the standard BCS ansatz. In the mean-field…

Nuclear Theory · Physics 2022-06-01 M. Drissi , A. Rios

We study the BCS gap equation for a Fermi gas with unequal population of spin-up and spin-down states. For $\cosh(\delta_\mu/T) \leq 2$, with $T$ the temperature and $\delta_\mu$ the chemical potential difference, the question of existence…

Mathematical Physics · Physics 2015-05-28 Abraham Freiji , Christian Hainzl , Robert Seiringer

By solution of the Bethe-Goldstone equation for the Cooper pairing problem, an approximate analytic relation is derived between coherence length xi and the binding energy of the Cooper pair. This relation is then qualitatively confirmed by…

Superconductivity · Physics 2007-05-23 G. G. N. Angilella , F. E. Leys , N. H. March , R. Pucci

The electromagnetic response of an interacting system of pions has been studied at finite temperature. The corresponding transport parameter i.e. electrical conductivity has been estimated by solving the relativistic transport equation in…

High Energy Physics - Phenomenology · Physics 2017-11-23 Snigdha Ghosh , Sukanya Mitra , Sourav Sarkar

We formulate the finite-temperature relativistic Hartree-Bogoliubov theory for spherical nuclei based on a point-coupling functional, with the Gogny or separable pairing force. Using the functional PC-PK1, the framework is applied to the…

Nuclear Theory · Physics 2014-01-21 Y. F. Niu , Z. M. Niu , N. Paar , D. Vretenar , G. H. Wang , J. S. Bai , J. Meng

Exploiting the similarity between the bunched single-particle energy levels of nuclei and of random distributions around the Fermi surface, pairing properties of the latter are calculated to establish statistically-based bounds on the basic…

Nuclear Theory · Physics 2018-07-04 A. A. Mamun , C. Constantinou , M. Prakash

We extend Gor'kov theory to address superconducting pairing at high magnetic fields and general temperatures with arbitrary attractive interaction strength. This analysis begins with a new interpretation of the high-field Gor'kov gap…

Superconductivity · Physics 2013-10-25 Peter Scherpelz , Dan Wulin , Břetislav Šopík , K. Levin , A. K. Rajagopal

We systematically explore the exquisiteness of Bardeen-Cooper-Schriefer(BCS) theory where the BCS-type electron-phonon interaction is unambiguously reinforced as the only viable superglue in cuprate superconductors because phonon-induced…

Superconductivity · Physics 2014-07-01 Andrew Das Arulsamy

A lattice model for strongly interacting electrons motivated by a rank-3 tensor model provides a tool for understanding the pairing mechanism of high-temperature superconductivity. This SYK-like model describes the strange metal phase in…

Strongly Correlated Electrons · Physics 2022-04-29 Wenhe Cai , Xian-Hui Ge

We calculate the nucleonic and pionic dispersion relations at finite temperature T and non-vanishing chemical potentials $(\mu_f)$ in the context of an effective chiral theory that describes the strong and electromagnetic interactions for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rafael Hurtado , John Morales , Carlos Quimbay

We discuss the concept of Cooper pair in the context of recent experimental studies of radio-frequency excitations in ultracold atomic gases. We argue that the threshold energy determines the size of the Cooper pair emergent from the exact…

Other Condensed Matter · Physics 2008-03-17 J. Dukelsky , G. Ortiz

Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pairwise residual interfermion interaction. \ Also…

Superconductivity · Physics 2016-08-15 S. K. Adhikari , M. Casas , A. Puente , A. Rigo , M. Fortes , M. A. Solís , M. de Llano , A. A. Valladares , O. Rojo

Boson-fermion mixture exist in nature as quark-gluon plasma and $^3$He-$^4$He mixture. We proposed a convective boson-fermion pairing theory, that can be implemented by ultracold atoms in optical superlattice transformation between…

Strongly Correlated Electrons · Physics 2020-07-09 Tieyan Si

Due to the large neutron-neutron scattering length, dilute neutron matter resembles the unitary Fermi gas, which lies half-way in the crossover from the BCS phase of weakly coupled Cooper pairs to the Bose-Einstein condensate of dimers. We…

Nuclear Theory · Physics 2020-11-16 David Durel , Michael Urban

We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical…

Mathematical Physics · Physics 2024-03-27 Christian Hainzl , Barbara Roos , Robert Seiringer

We investigate the BCS pairing in a mixture of fermionic polar molecules with two different hyperfine states. We derive a set of coupled gap equations and find that this system supports both spin-singlet and -triplet BCS pairs. We also…

Quantum Gases · Physics 2015-05-14 T. Shi , J. -N. Zhang , C. -P. Sun , S. Yi

We deal with a model for high-temperature superconductivity which maintains that in cuprates spin-singlet bonds are formed between electrons running in the neighbouring layers of copper oxide found in lattice of these materials. This model…

Superconductivity · Physics 2007-05-23 P. Brovetto , V. Maxia , M. Salis