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The Gaudin integral equation for the ground state of a one-dimensional delta-function attractive spin-1/2 fermions is solved in the form of power series. The first few terms of the asymptotic expansions for both strong and weak coupling…

Statistical Mechanics · Physics 2009-11-11 Toshiaki Iida , Miki Wadati

Superconducting correlations in the two dimensional ${\rm t-J}$ model at zero temperature are evaluated using numerical techniques. At the fermionic density $\langle n \rangle \sim 1/2$, strong signals of $\dx2y2$ superconductivity were…

Condensed Matter · Physics 2009-10-22 Elbio Dagotto , Jose Riera

We define the three-body scattering hypervolume $D_F$ for identical spin-polarized fermions in two dimensions, by considering the wave function of three such fermions colliding at zero energy and zero orbital angular momentum. We derive the…

Quantum Gases · Physics 2022-08-31 Zipeng Wang , Shina Tan

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

Quantum Gases · Physics 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

We investigate the formation of Cooper pairs, bound dimers and the dimer-dimer elastic scattering of ultra- cold dipolar Fermi molecules confined in a 2D optical lattice bilayer configuration. While the energy and their associated bound…

Quantum Gases · Physics 2016-08-04 A. Camacho-Guardian , G. A. Domínguez-Castro , R. Paredes

We consider possible superconducting instabilities in a two-dimensional Fermi system with short-ranged repulsive interactions between electrons. The possibility of an unusual superconducting paring due to the Kohn-Luttinger mechanism is…

Superconductivity · Physics 2009-11-07 Victor Galitski , S. Das Sarma

We apply the classical mapping technique developed recently by Dharma-wardana and Perrot for a study of the uniform two-dimensional electron system at arbitrary degeneracy and spin-polarization. Pair distribution functions, structure…

Strongly Correlated Electrons · Physics 2009-11-10 Nguyen Quoc Khanh , Hiroo Totsuji

The ground state properties of the two dimensional spatially anisotropic Heisenberg model are investigated by use of field theory mappings, spin-wave expansion and Lanczos technique. Evidence for a disorder transition induced by anisotropy…

Condensed Matter · Physics 2016-08-31 A. Parola , S. Sorella , Q. F. Zhong

We study ground-state properties and the low-lying excitations of Heisenberg spin ladders composed of two ferrimagnetic chains with alternating site spins $(S_1>S_2)$ by using the bosonic Dyson-Maleev formalism and Lanczos numerical…

Strongly Correlated Electrons · Physics 2009-10-31 N. B. Ivanov , J. Richter

Fermionic superfluids can undergo phase transitions into different kinds of normal regimes, loosely characterized by whether Cooper pairs remain locally stable. If the normal phase retains strong pairing fluctuations, it behaves like a…

Superconductivity · Physics 2008-10-24 Predrag Nikolic

Using an ultracold gas of atoms, we have realized a quasi-two-dimensional Fermi system with widely tunable s-wave interactions nearly in a ground state. Pressure and density are measured. The experiment covers physically different regimes:…

Quantum Gases · Physics 2014-03-26 Vasiliy Makhalov , Kirill Martiyanov , Andrey Turlapov

We study spin dynamics of a normal Fermi liquid taking into account the demagnetizing field produced by the spin system itself. Linear solutions of the spin dynamics equations in the form of standing spin waves in a finite volume of liquid…

Condensed Matter · Physics 2009-11-07 P. L. Krotkov , V. P. Mineev , G. A. Vermeulen

We report spin wave and DMRG studies of the ground and low-lying excited states of uniform and dimerized alternating spin chains. The DMRG procedure is also employed to obtain low-temperature thermodynamic properties of the system. The…

Condensed Matter · Physics 2016-08-31 Swapan K. Pati , S. Ramasesha , Diptiman Sen

We consider an extended Hubbard model of interacting fermions on a lattice. The fermion kinetic energy corresponds to a tight binding Hamiltonian with nearest neighbour (-t) and next nearest neighbour (t') hopping matrix elements. In…

Strongly Correlated Electrons · Physics 2009-10-30 Biplab Chattopadhyay , D. M. Gaitonde

Several ground state properties of the square-lattice $S=1/2$ Heisenberg antiferromagnet are computed (the energy, order parameter, spin stiffness, spinwave velocity, long-wavelength susceptibility, and staggered susceptibility) using…

Strongly Correlated Electrons · Physics 2026-04-16 Anders W. Sandvik

We non-perturbatively study pairing in the high-temperature regime of polarized unitary two-component Fermi gases by extracting the pair-momentum distribution and shot-noise correlations. Whereas the pair-momentum distribution allows us to…

Quantum Gases · Physics 2022-06-29 Felipe Attanasio , Lukas Rammelmüller , Joaquín E. Drut , Jens Braun

We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a…

Condensed Matter · Physics 2007-05-23 M. K. Srivastava , R. K. Bhaduri , J. Law , M. V. N. Murthy

We study bipartite entanglement entropies in the ground and excited states of model fermion systems, where a staggered potential, $\mu_s$, induces a gap in the spectrum. Ground state entanglement entropies satisfy the `area law', and the…

Statistical Mechanics · Physics 2015-06-17 Michelle Storms , Rajiv R. P. Singh

We show that a simple one-dimensional model of spinless fermions with pair hopping displays a phase in which a Luttinger liquid of paired fermions coexists with a Luttinger liquid of unpaired fermions. Our results are based on extensive…

Strongly Correlated Electrons · Physics 2021-05-26 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

Properties of bosonic atoms in small systems with a periodic quasi one-dimensional circular toroidal lattice potential subjected to rotation are examined by performing exact diagonalization in a truncated many body space. The expansion of…

Quantum Gases · Physics 2015-06-12 Fernanda Pinheiro , A. F. R. de Toledo Piza