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Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transition in the interacting disordered Hubbard model of a Lieb lattice, in which the system characterizes the flat band centered at the Fermi level. By…

Strongly Correlated Electrons · Physics 2022-12-06 Yueqi Li , Lingyu Tian , Tianxing Ma , Hai-Qing Lin

We study the phase diagram of the extended Hubbard model on the kagome lattice at 1/3 filling. By combining a configuration interaction approach to an unrestricted Hartree-Fock, we construct an effective hamiltonian which takes the…

Strongly Correlated Electrons · Physics 2014-05-08 Karim Ferhat , Arnaud Ralko

We study the thermodynamic properties of four-component fermionic mixtures described by the Hubbard model using the dynamical mean-field-theory approach. Special attention is given to the system with SU(4)-symmetric interactions at half…

Quantum Gases · Physics 2017-03-09 A. Golubeva , A. Sotnikov , A. Cichy , J. Kuneš , W. Hofstetter

We investigate strongly correlated spin-1 ultracold bosons with antiferromagnetic interactions in a cubic optical lattice, based on bosonic dynamical mean-field theory. Rich phase diagrams of the system are mapped out at both zero and…

Quantum Gases · Physics 2016-03-23 Yongqiang Li , Liang He , Walter Hofstetter

We propose an experiment to obtain the phase diagram of the fermionic Hubbard model, for any dimensionality, using cold atoms in optical lattices. It is based on measuring the total energy for a sequence of trap profiles. It combines…

Other Condensed Matter · Physics 2007-12-13 Vivaldo L. Campo , Klaus Capelle , Jorge Quintanilla , Chris Hooley

The extended Hubbard model in the atomic limit, which is equivalent to lattice $S=1/2$ fermionic gas, is considered on the triangular lattice. The model includes onsite Hubbard $U$ interaction and both nearest-neighbor ($W_{1}$) and…

Strongly Correlated Electrons · Physics 2021-11-05 Konrad Jerzy Kapcia

The variational cluster approximation is used to study the isotropic triangular-lattice Hubbard model at half filling, taking into account the nearest-neighbor ($t_1$) and next-nearest-neighbor ($t_2$) hopping parameters for magnetic…

Strongly Correlated Electrons · Physics 2017-02-28 Kazuma Misumi , Tatsuya Kaneko , Yukinori Ohta

By making use of known exact results and symmetry properties for the one-band Hubbard model, we show in a somewhat exact manner that there is no phase separation on a square lattice at arbitrary fillings at finite temperature for both…

Condensed Matter · Physics 2009-10-28 Gang Su

We measure pressure and entropy of ultracold fermionic atoms in an optical lattice for a range of interaction strengths, temperatures and fillings. Our measurements demonstrate that, for low enough temperatures, entropy-rich regions form…

Quantum Gases · Physics 2017-11-15 E. Cocchi , L. A. Miller , J. H. Drewes , C. F. Chan , D. Pertot , F. Brennecke , M. Köhl

Motivated by recent experiments with ultracold fermionic atoms in optical lattices, we study finite temperature magnetic correlations, as singlet and triplet correlations, and the double occupancy in the one-dimensional Hubbard model. We…

We study the physics on the paramagnetic side of the phase diagram of the cobaltates, $Na_{x}CoO_{2}$, with an implementation of cellular dynamical mean field theory (CDMFT) with the non-crossing approximation (NCA) for the one-band Hubbard…

Strongly Correlated Electrons · Physics 2009-11-13 Dimitrios Galanakis , Tudor Stanescu , Philip Phillips

The $2d$ Hubbard model with nearest-neighbour hopping on the square lattice and an average of one electron per site is known to undergo an extended crossover from metallic to insulating behavior driven by proliferating antiferromagnetic…

Strongly Correlated Electrons · Physics 2020-03-19 Aaram J. Kim , Fedor Simkovic , Evgeny Kozik

The zero temperature phase diagram of the checkerboard Hubbard model is obtained in the solvable limit in which it consists of weakly coupled square plaquettes. As a function of the on-site Coulomb repulsion U and the density of holes per…

Strongly Correlated Electrons · Physics 2009-11-13 Hong Yao , Wei-Feng Tsai , Steven A. Kivelson

The Quantum Monte Carlo simulations of the ionic Hubbard model on a two-dimensional square lattice at half filling were performed. The method based on the direct-space, proposed by Suzuki and al., Hirsch and al., was used. Cycles of…

Strongly Correlated Electrons · Physics 2010-02-02 Bernard Martinie

We study finite-temperature properties of ultracold four-component mixtures of alkaline-earth-like atoms in optical lattices that can be effectively described by the two-band spin-$1/2$ Hubbard model including the Hund's exchange coupling…

Quantum Gases · Physics 2016-05-31 Agnieszka Cichy , Andrii Sotnikov

We apply recently developed smooth boundary conditions to the quantum Monte Carlo simulation of the two-dimensional Hubbard model. At half-filling, where there is no sign problem, we show that the thermodynamic limit is reached more rapidly…

Condensed Matter · Physics 2009-10-28 M. Vekic , S. R. White

Here, we investigate the fractal-lattice Hubbard model using various numerical methods: exact diagonalization, the self-consistent diagonalization of a (mean-field) Hartree-Fock Hamiltonian and state-of-the-art Auxiliary-Field Quantum Monte…

Strongly Correlated Electrons · Physics 2024-09-18 Monica Conte , Vinicius Zampronio , Malte Röntgen , Cristiane Morais Smith

The equation for the electron Green's function of the fermionic Hubbard model, derived using the strong coupling diagram technique, is solved self-consistently for the near-neighbor form of the kinetic energy and for half-filling. In this…

Strongly Correlated Electrons · Physics 2015-06-11 A. Sherman

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

We study the half filled Hubbard model on a hypercubic lattice in infinite dimensions in the presence of a staggered magnetic field. An exact Ward-identity between vertex functions and self-energies is derived, that holds in any phase…

Condensed Matter · Physics 2009-10-22 Peter Kopietz