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We present an inhomogeneous theory for the low-temperature properties of a resonantly interacting Fermi mixture in a trap that goes beyond the local-density approximation. We compare the Bogoliubov-de Gennes and a Landau-Ginzburg approach…

Statistical Mechanics · Physics 2009-12-11 J. M. Diederix , K. B. Gubbels , H. T. C. Stoof

A detailed description is given of the phase diagram for a two-component unitary Fermi gas with mass and population imbalance, for both homogeneous and trapped systems. This aims at providing quantitative benchmarks for the…

Quantum Gases · Physics 2021-02-17 M. Pini , P. Pieri , R. Grimm , G. Calvanese Strinati

We investigate two-component ultracold fermionic atoms with repulsive interactions trapped in an optical lattice with a ladder structure. By applying the Bogoliubov-de Gennes equations to an effective t-J model in the strong correlation…

Statistical Mechanics · Physics 2009-11-13 Yusuke Fujihara , Akihisa Koga , Norio Kawakami

We study s-wave superconductivity in the two dimensional attractive Hubbard model in an applied magnetic field, assume the extreme Pauli limit, and examine the role of spatial fluctuations in the coupling regime corresponding to BCS-BEC…

Quantum Gases · Physics 2016-05-26 Madhuparna Karmakar , Pinaki Majumdar

Whether it occurs in superconductors, helium-3 or inside a neutron star, fermionic superfluidity requires pairing of fermions, particles with half-integer spin. For an equal mixture of two states of fermions ("spin up" and "spin down"),…

Superconductivity · Physics 2007-05-23 Martin W. Zwierlein , André Schirotzek , Christian H. Schunck , Wolfgang Ketterle

We investigate antiferromagnetic order of repulsively interacting fermionic atoms in an optical lattice by means of Dynamical Mean-Field Theory (DMFT). Special attention is paid to the case of an imbalanced mixture. We take into account the…

Quantum Gases · Physics 2011-02-18 Michiel Snoek , Irakli Titvinidze , Walter Hofstetter

Unconventional strongly correlated phases of the repulsive Fermi-Hubbard model, which could be emulated by ultracold vapors loaded in optical lattices, are investigated by means of energy minimizations with quantum number projection before…

Quantum Gases · Physics 2015-10-20 A. Leprévost , O. Juillet , R. Frésard

The imbalanced superfluid state of spin-1/2 fermions with s-wave pairing is numerically studied by solving the Bogoliubov-de-Gennes equation at zero temperature in an annular disk geometry with narrow radial width. Two distinct types of…

Superconductivity · Physics 2015-05-13 Fei Ye , Yan Chen , Z. D. Wang , F. C. Zhang

We consider a strongly repulsive fermionic gas in a two-dimensional optical lattice confined by a harmonic trapping potential. To address the strongly repulsive regime, we consider the $t-J$ Hamiltonian. The presence of the harmonic…

Superconductivity · Physics 2012-05-16 Anne-Louise Gadsbolle , H. Francis Song , Karyn Le Hur

We determine the ground state properties of inhomogeneous mixtures of bosons and fermions in cubic lattices by studying the Bose-Fermi Hubbard model including parabolic confining potentials. We present the exact solution in the limit of…

Statistical Mechanics · Physics 2009-11-10 M. Cramer , J. Eisert , F. Illuminati

We investigate the attractive Hubbard model in infinite spatial dimensions at quarter filling. By combining dynamical mean-field theory with continuous-time quantum Monte Carlo simulations in the Nambu formalism, we directly deal with the…

Quantum Gases · Physics 2015-05-19 Akihisa Koga , Philipp Werner

We study magnetic phases of two-component mixtures of ultracold fermions with repulsive interactions in optical lattices in the presence of hopping imbalance. Our analysis is based on dynamical mean-field theory (DMFT) and its real-space…

Quantum Gases · Physics 2012-08-14 Andrii Sotnikov , Daniel Cocks , Walter Hofstetter

We analyze the effects of imbalancing the populations of two-component trapped fermions in the BEC (strong-coupling) limit of the attractive interaction between fermions of different components. In particular, we derive a set of coupled…

Superconductivity · Physics 2007-05-23 P. Pieri , G. C. Strinati

We calculate the mean-field thermodynamics of a spherically trapped Fermi gas with unequal spin populations in the unitarity limit, comparing results from the Bogoliubov-de Gennes equations and the local density approximation. We follow the…

Strongly Correlated Electrons · Physics 2007-05-23 Xia-Ji Liu , Hui Hu , Peter D. Drummond

We study the interplay between the Hofstadter butterfly, strong interactions and Zeeman field within the mean-field Bogoliubov-de Gennes theory in real space, and explore the ground states of the attractive single-band Hofstadter-Hubbard…

Quantum Gases · Physics 2015-05-11 M. Iskin

We consider density-imbalanced Fermi gases of atoms in the strongly interacting, i.e. unitarity, regime. The Bogoliubov-deGennes equations for a trapped superfluid are solved. They take into account the finite size of the system, as well as…

Strongly Correlated Electrons · Physics 2011-08-11 J. Kinnunen , L. M. Jensen , P. Torma

We study an ultracold trapped Fermi gas of atoms in two hyperfine states with unequal populations. In this situation the usual BCS pairing is suppressed and non-standard pairing mechanisms become important. These are treated by solving the…

Other Condensed Matter · Physics 2009-11-11 Paolo Castorina , Marcella Grasso , Micaela Oertel , Michael Urban , Dario Zappala

It is quite common that several different phases exist simultaneously in a system of trapped quantum gases of ultra-cold atoms. One such example is the strongly-interacting Fermi gas with two imbalanced spin species, which has received a…

Quantum Gases · Physics 2011-05-27 L. O. Baksmaty , Hong Lu , C. J. Bolech , Han Pu

A major challenge in realizing antiferromagnetic (AF) and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical…

Quantum Gases · Physics 2015-05-28 Thereza Paiva , Yen Lee Loh , Mohit Randeria , Richard T. Scalettar , Nandini Trivedi

We present a theoretical study of the density and spin (representing the two components) linear response of Fermi superfluids with tunable attractive interactions and population imbalance. In both linear response theories, we find that the…

Quantum Gases · Physics 2014-04-01 Hao Guo , Yang Li , Yan He , Chih-Chun Chien