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We study the zero-energy collision of three identical spin-polarized fermions with short-range interactions in one dimension. We derive the asymptotic expansions of the three-body wave function when the three fermions are far apart or one…

Quantum Gases · Physics 2023-07-12 Zipeng Wang , Shina Tan

We study an effective theory of QCD at high density in detail, including the finite temperature effects and the leading order correction in $1/\mu$ expansion. We investigate the Cooper pair gap equation and find that the color-flavor…

High Energy Physics - Phenomenology · Physics 2009-10-31 Deog Ki Hong

We investigate the three-body properties of two identical "up" fermions and one distinguishable "down" atom interacting in a strongly confined two-dimensional geometry. We compute exactly the atom-dimer scattering properties and the…

Quantum Gases · Physics 2013-04-24 V. Ngampruetikorn , Meera M. Parish , J. Levinsen

We present a detailed study of the population imbalanced three-component Hubbard chain with attractive interactions. Such a system can be realized experimentally with three different hyperfine states of ultra cold $^6$Li atoms in an optical…

Quantum Gases · Physics 2009-06-05 Andreas Luscher , Andreas Laeuchli

The two-flavor color superconductivity is examined over a wide range of baryon density with a single model. To study the structural change of Cooper pairs, quark correlation in the color superconductor is calculated both in the momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Abuki , T. Hatsuda , K. Itakura

Fermionic artificial matter realized with cold atoms grants access to an unprecedented degree of control on sophisticated many-body effects with an enhanced flexibility of the operating conditions. We consider three-component fermions with…

Quantum Gases · Physics 2023-06-14 Wayne J. Chetcuti , Juan Polo , Andreas Osterloh , Paolo Castorina , Luigi Amico

Cooper quartets represent exotic fermion aggregates describing correlated matter at the basis of charge-$4e$ superconductivity and offer a platform for studying four-body interactions, of interest for topologically protected quantum…

Mesoscale and Nanoscale Physics · Physics 2024-10-08 Luca Chirolli , Alessandro Braggio , Francesco Giazotto

We study conditions for the emergence of the preformed Cooper pairs in materials hosting flat bands. As a particular example, we consider a semimetal, with a pair of three-band crossing points at which a flat band intersects with a Dirac…

Superconductivity · Physics 2022-09-23 Alexander A. Zyuzin , A. Yu. Zyuzin

We consider pairing in a three-component gas of degenerate fermions. In particular, we solve the finite temperature mean-field theory of an interacting gas for a system where both interaction strengths and fermion masses can be unequal. At…

Superconductivity · Physics 2009-11-11 T. Paananen , J. -P. Martikainen , P. Torma

The rapid experimental progress of ultra-cold dipolar fermions opens up a whole new opportunity to investigate novel many-body physics of fermions. In this article, we review theoretical studies of the Fermi liquid theory and Cooper pairing…

Quantum Gases · Physics 2015-01-06 Yi Li , Congjun Wu

Three-body nuclear forces are essential for explaining the properties of light nuclei with a nucleon number greater than three. Building on insights from nuclear physics, we extract the form of quark three-body interactions and demonstrate…

High Energy Physics - Phenomenology · Physics 2024-08-02 Sungsik Noh , Aaron Park , Hyeongock Yun , Sungtae Cho , Su Houng Lee

The attractive Fermi-Hubbard model stands out as a simple model for studying the pairing and superconductivity of fermions on a lattice. In this article, we apply several many-body theories in the three-dimensional attractive Hubbard model.…

Strongly Correlated Electrons · Physics 2025-02-18 Junnian Xiong , Hui Li , Yingze Su , Dingping Li

A crossover involving three-fermion clusters is relevant to the hadron-quark crossover, which, if occurring in a neutron star, could naturally reproduce the dense-matter equation of state recently deduced from simultaneous observations of…

High Energy Physics - Phenomenology · Physics 2025-07-28 Hiroyuki Tajima , Kei Iida , Toru Kojo , Haozhao Liang

The symmetry properties of the Cooper pairing problem for multi-component ultra-cold dipolar molecular systems are investigated. The dipolar anisotropy provides a natural and robust mechanism for both triplet and singlet Cooper pairing to…

Quantum Gases · Physics 2010-01-26 Congjun Wu , J. E. Hirsch

The Hamiltonian and trial function in the BCS theory are improved to test the limit of this theory. The Cooper pairs arise from standing electron waves, ready to move with atoms, giving high Tc. The Hamiltonian is derived from alternating…

Superconductivity · Physics 2007-05-23 X. H. Zheng

Quark matter at sufficiently high density exhibits color superconductivity, due to attractive gluonic interactions. At lower densities of order $\Lambda_{QCD}^3$, it has been proposed that instanton generated vertices may play an important…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nick Evans , Stephen Hsu , Myckola Schwetz

Cooper's formalism for fermionic pairing has been revisited considering upto 3rd neighbour hopping terms, firstly with a Fermi liquid like background on a square lattice keeping in mind the overdopped cuprates. Then the whole scheme is…

Superconductivity · Physics 2018-07-31 Soumi Roy Chowdhury , Ranjan Chaudhury

We investigate the finite-temperature properties of attractive three-component (colors) fermionic atoms in optical lattices using a self-energy functional approach. As the strength of the attractive interaction increases in the low…

Quantum Gases · Physics 2011-05-30 Kensuke Inaba , Sei-ichiro Suga

We investigate the formation of Bose-Einstein condensation and population imbalance in a three-component Fermi superfluid by increasing the U(3) invariant attractive interaction. We consider the system at zero temperature in three…

Quantum Gases · Physics 2011-04-06 Luca Salasnich

A three-fermion problem in a three-dimensional lattice with anisotropic hopping is solved by discretizing the Schroedinger equation in momentum space. Interparticle interaction comprises on-site Hubbard repulsion and in-plane…

Superconductivity · Physics 2020-04-22 Pavel Kornilovitch