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Related papers: Superfluidity and excitations at unitarity

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We present lattice results for the ground state energy of a spin-1/2 fermion system in the unitary limit, where the effective range of the interaction is zero and the scattering length is infinite. We compute the ground state energy for a…

Statistical Mechanics · Physics 2009-11-11 Dean Lee

We consider two-component fermions on the lattice in the unitarity limit. This is an idealized limit of attractive fermions where the range of the interaction is zero and the scattering length is infinite. Using Euclidean time projection,…

Nuclear Theory · Physics 2008-11-26 Dean Lee

The unitary Fermi gas is a many-body system of two-component fermions with zero-range interactions tuned to infinite scattering length. Despite much activity and interest in unitary Fermi gases and its universal properties, there have been…

Quantum Gases · Physics 2020-07-02 Rongzheng He , Ning Li , Bing-Nan Lu , Dean Lee

We study the structure of pairing order parameter for spin-1/2 fermions with attractive interactions in a square lattice under a uniform magnetic field. Because the magnetic translation symmetry gives a unique degeneracy in the…

Quantum Gases · Physics 2010-04-14 Hui Zhai , R. O. Umucalilar , M. O. Oktel

We report diffusion Monte Carlo results for the ground state of unpolarized spin-1/2 fermions in a cylindrical container and properties of the system with a vortex-line excitation. The density profile of the system with a vortex line…

Quantum Gases · Physics 2016-05-09 Lucas Madeira , Silvio A. Vitiello , Stefano Gandolfi , Kevin E. Schmidt

The unitarity limit describes interacting particles where the range of the interaction is zero and the scattering length is infinite. We present precision benchmark calculations for two-component fermions at unitarity using three different…

Quantum Gases · Physics 2011-06-27 Shahin Bour , Xin Li , Dean Lee , Ulf-G. Meißner , Lubos Mitas

We study ground state properties and particle excitation spectra across a commensurate charge density wave transition in a system of strongly interacting fermions, using series expansion methods and mean-field theory. We consider a…

Strongly Correlated Electrons · Physics 2015-06-22 Trithep Devakul , Rajiv R. P. Singh

The energy shift due to the interaction of two particles in a large box is proportional to the free particle scattering phase-shift. This provides an approximation to the effective interaction referred to as the phase-shift approximation.…

Nuclear Theory · Physics 2007-05-23 H. S. Kohler

We construct a lattice theory describing a system of interacting nonrelativistic spin s=1/2 fermions at nonzero chemical potential. The theory is applicable whenever the interparticle separation is large compared to the range of the…

High Energy Physics - Lattice · Physics 2009-11-10 Jiunn-Wei Chen , David B. Kaplan

We have studied, in a fully non-perturbative calculation, a dilute system of spin 1/2 interacting fermions, characterized by an infinite scattering length at finite temperatures. Various thermodynamic properties and the condensate fraction…

Statistical Mechanics · Physics 2014-10-13 Aurel Bulgac , Joaquin E. Drut , Piotr Magierski

In scattering theory, the unitary limit is defined by an infinite scattering-length and a zero effective range, corresponding to a phase-shift \pi/2, independent of energy. This condition is satisfied by a rank-1 separable potential…

Nuclear Theory · Physics 2010-08-24 H. S. Kohler

We carefully study how the fermion-fermion interactions affect the low-energy states of a two-dimensional spin-$1/2$ fermionic system on the kagom\'{e} lattice with a quadratic band crossing point. With the help of the renormalization group…

Strongly Correlated Electrons · Physics 2021-04-07 Ya-Hui Zhai , Jing Wang

This report concerns the energy of a zero-temperature many-body system of spin 1/2 fermions in the unitary limit. In a previous report (arXiv:0705.0944) this energy was determined to be xi~0.24 in units of the free gas kinetic energy,…

Nuclear Theory · Physics 2008-02-08 H. S. Kohler

The momentum bands, energy dispersions, and velocities of the charge $c$ fermions and spin-neutral two-spinon $s1$ fermions of a square-lattice quantum liquid referring to the Hubbard model on such a lattice of edge length $L$ in the one-…

Strongly Correlated Electrons · Physics 2015-05-13 J. M. P. Carmelo

We report an experimental and theoretical study of the antiferromagnetic S=1/2 chain subject to uniform and staggered fields. Using inelastic neutron scattering, we observe a novel bound-spinon state at high energies in the linear chain…

Strongly Correlated Electrons · Physics 2009-11-11 M. Kenzelmann , C. D. Batista , Y. Chen , C. Broholm , D. H. Reich , S. Park , Y. Qiu

We study spin 3/2 fermionic cold atoms with attractive interactions confined in a one-dimensional optical lattice. Using numerical techniques, we determine the phase diagram for a generic density. For the chosen parameters, one-particle…

Strongly Correlated Electrons · Physics 2009-04-23 G. Roux , S. Capponi , P. Lecheminant , P. Azaria

On several one-dimensional (1D) and 2D nonbipartite lattices, we study both free and Hubbard interacting lattice fermions when some magnetic fluxes are threaded or gauge fields coupled. First, we focus on finding out the optimal flux which…

Strongly Correlated Electrons · Physics 2020-07-28 Wayne Zheng

We consider two-component fermions with short-range interactions and large scattering length. This system has universal properties that are realized in several different fields of physics. In the limit of large fermion-fermion scattering…

Nuclear Theory · Physics 2017-03-15 Serdar Elhatisari , Kris Katterjohn , Dean Lee , Ulf-G. Meißner , Gautam Rupak

We study the antiferromagnetic spin exchange models with $S=1/2$ and S=1 on a one-dimensional tetrahedron chain by both analytical and numerical approaches. The system is shown to be effectively mapped to a decoupled spin chain in the…

Strongly Correlated Electrons · Physics 2007-05-23 Shu Chen , Yupeng Wang , W. Q. Ning , Congjun Wu , H. Q. Lin

Although recent theoretical and experimental progress have considerably clarified pairing mechanisms in spin 1/2 fermionic superfluid with equally populated internal states, many open questions remain when the two spin populations are…

Statistical Mechanics · Physics 2016-08-14 Frédéric Chevy
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