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We study ultracold fermionic atoms trapped in a three dimensional optical lattice by combining the real-space dynamical mean-field approach with continuous-time quantum Monte Carlo simulations. For a spin-unpolarized system we show results…

Quantum Gases · Physics 2015-05-19 A. Koga , J. Bauer , P. Werner , Th. Pruschke

The influence of a Zeeman magnetic field on the superconducting characteristics of the attractive Hubbard model was investigated. The ground state and temperature phase diagrams were obtained for a fixed number of particles. Two critical…

Strongly Correlated Electrons · Physics 2009-02-24 Agnieszka Kujawa , Roman Micnas

Competition between superconductivity and charge order is a recurring theme in contemporary condensed matter physics. This is quintessentially captured in the attractive Hubbard model, a simple theoretical model where the competition can be…

Superconductivity · Physics 2020-07-01 Madhuparna Karmakar , R. Ganesh

Significant advances in numerical techniques have enabled recent breakthroughs in the study of various properties of the Hubbard model - a seemingly simple, yet complex model of correlated electrons that has been a focus of study for more…

Strongly Correlated Electrons · Physics 2021-09-14 E. W. Huang , W. O. Wang , J. K. Ding , T. Liu , F. Liu , X. -X. Huang , B. Moritz , T. P. Devereaux

We study two-component fermions in optical lattices with spatially alternating on-site interactions using dynamical mean-field theory. Calculating the quasi-particle weight, double occupancy, and order parameters for each sublattice, we…

Strongly Correlated Electrons · Physics 2013-01-16 Akihisa Koga , Takamitsu Saitou , Atsushi Yamamoto

We study superfluidity in the 1D Bose-Hubbard model using a variational matrix product state technique. We determine the superfluid density as a function of the Hubbard parameters by calculating the energy cost of phase twists in the…

Quantum Gases · Physics 2022-04-13 Thomas G. Kiely , Erich J. Mueller

In nonperturbative regimes, the superfluid instability in the two-dimensional Hubbard model can be described by an emergent BCS theory with small effective pairing constants. We compute the effective couplings using a controlled bold-line…

Strongly Correlated Electrons · Physics 2021-07-28 Fedor Šimkovic , Youjin Deng , Evgeny Kozik

Ground state properties of the Hubbard model on a two-dimensional square lattice are studied by the auxiliary-field quantum Monte Carlo method. Accurate results for energy, double occupancy, effective hopping, magnetization, and momentum…

Strongly Correlated Electrons · Physics 2016-08-10 Mingpu Qin , Hao Shi , Shiwei Zhang

Quantum Monte Carlo method is used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature…

Strongly Correlated Electrons · Physics 2007-05-23 T. Nakaegawa , Y. Ohta

We investigate the half-filled Hubbard model on an isotropic triangular lattice with the variational cluster approximation. By decreasing the on-site repulsion $U$ (or equivalently increasing pressure) we go from a phase with long range,…

Strongly Correlated Electrons · Physics 2008-04-15 Peyman Sahebsara , David Sénéchal

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 propose an out-of-equilibrium impurity model for the dynamical mean-field description of the Hubbard model driven by a finite electric field. The out-of-equilibrium impurity environment is represented by a collection of equilibrium…

Strongly Correlated Electrons · Physics 2013-03-14 Camille Aron , Cedric Weber , Gabriel Kotliar

We present a study of the attractive Hubbard model based on the dynamical mean field theory (DMFT) combined with the numerical renormalization group (NRG). For this study the NRG method is extended to deal with self-consistent solutions of…

Superconductivity · Physics 2009-07-22 J. Bauer , A. C. Hewson , N. Dupuis

Using a newly developed quantum Monte Carlo technique, we provide strong evidence for the stability of a saturated ferromagnetic phase in the high-density regime of the two-dimensional infinite-U Hubbard model. By decreasing the electron…

Strongly Correlated Electrons · Physics 2011-02-28 Giuseppe Carleo , Saverio Moroni , Federico Becca , Stefano Baroni

We discuss the ground state magnetic phase diagram of the Hubbard model off half filling within the dynamical mean-field theory. The effective single-impurity Anderson model is solved by Wilson's numerical renormalization group…

Strongly Correlated Electrons · Physics 2009-11-07 R. Zitzler , Th. Pruschke , R. Bulla

We investigate different physical properties of a spin imbalanced fermionic superfluid described by an attractive Hubbard model in presence of a harmonic trap. To characterize the ground state of such a system, we compute various…

Superconductivity · Physics 2010-08-03 Poulumi Dey , Saurabh Basu , Ram Kishore

We use density matrix renormalization group to investigate the phase diagram of the Fermi Hubbard model on a triangular lattice with densities above half-filling, $1 \leq n < 2$. We discuss the important role of kinetic magnetism and…

Strongly Correlated Electrons · Physics 2024-02-23 Ivan Morera , Eugene Demler

In a recent preprint [arXiv:1803.04118v2] Chern and Barros report numerical simulations of the mean-field interaction quench dynamics, $U_i\to U_f$, of the attractive Hubbard model that confirm our earlier prediction [Europhys. Lett. 85,…

Superconductivity · Physics 2018-06-12 Maxim Dzero , Emil A. Yuzbashyan , Boris L. Altshuler

We use cellular dynamical mean-field theory with extended unit cells to study the ground state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the energy of states with d-wave superconductivity coexisting with…

Strongly Correlated Electrons · Physics 2018-03-09 Tuomas I. Vanhala , Päivi Törmä

We study the ground state phase diagram of the hard-core extended boson Hubbard model on the square lattice with both nearest- (nn) and next-nearest-neighbor (nnn) hopping and repulsion, using Gutzwiller mean field theory and quantum Monte…

Strongly Correlated Electrons · Physics 2008-02-01 Yu-Chun Chen , Roger G. Melko , Stefan Wessel , Ying-Jer Kao