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We study the asymmetric Hubbard model at half-filling as a generic model to describe the physics of two species of repulsively interacting fermionic cold atoms in optical lattices. We use Dynamical Mean Field Theory to obtain the…

Strongly Correlated Electrons · Physics 2012-01-11 E. A. Winograd , R. Chitra , M. J. Rozenberg

We study the Mott-insulator transition of bosonic atoms in optical lattices. Using perturbation theory, we analyze the deviations from the mean-field Gutzwiller ansatz, which become appreciable for intermediate values of the ratio between…

Soft Condensed Matter · Physics 2007-05-23 C. Schroll , Florian Marquardt , C. Bruder

We investigate the interplay between topological effects and Mott physics in two dimensions on a graphene-like lattice, via a tight-binding model containing an anisotropic spin-orbit coupling on the next-nearest-neighbour links and the…

Strongly Correlated Electrons · Physics 2015-06-16 Tianhan Liu , Benoît Douçot , Karyn Le Hur

We study cold atoms in an optical lattice with synthetic spin-orbit coupling in the Mott-insulator regime. We calculate the parameters of the corresponding tight-binding model using Peierls substitution and "localized Wannier states method"…

Quantum Gases · Physics 2012-08-28 Juraj Radic , Andrea Di Ciolo , Kai Sun , Victor Galitski

Hund's rule coupling ($\textit{J}$) has attracted much attention recently for its role in the description of the novel quantum phases of multi orbital materials. Depending on the orbital occupancy, $\textit{J}$ can lead to various…

We investigate the effects of crystal field splitting in a doped two-band Hubbard model with different bandwidths within dynamical mean-field theory (DMFT), using a quantum Monte Carlo impurity solver. In addition to an orbital-selective…

Strongly Correlated Electrons · Physics 2013-05-30 E. Jakobi , N. Blümer , P. G. J. van Dongen

The cluster slave-spin method is implemented to research the ground state properties of the honeycomb lattice Hubbard model with doping $\delta$ and coupling $U$ being its parameters. At half-filling, a single direct and continuous phase…

Strongly Correlated Electrons · Physics 2022-02-09 Ming-Huan Zeng , Y. -J. Wang , Tianxing Ma

The slave-particle representation is a promising method to treat the properties of exotic strongly correlated systems. We develop a unified approach to describe both the paramagnetic state with possible spin-liquid features and states with…

Strongly Correlated Electrons · Physics 2023-09-11 Valentin Yu. Irkhin

We study the magnetic field driven metal-to-insulator transition in half-filled Hubbard model on the Bethe lattice, using the dynamical mean-field theory by solving the quantum impurity problem with density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2017-09-13 W. Zhu , D. N. Sheng , Jian-Xin Zhu

A new formulation for the study of interacting bosons on a lattice is introduced. This approach is used to give analytical expressions for the Mott insulating lobes in the phase diagram and to calculate the density-density correlation…

Condensed Matter · Physics 2007-05-23 Raymond Fresard

Magnetic properties of Hubbard model have been studied extensively. A theoretical description of these states, however, is not straight forward within conventional mean-field approach due to the electron correlation effects. Here we provide…

Strongly Correlated Electrons · Physics 2023-05-09 Jiasheng Qian , Zhiguang Liao , Rong Yu

We present a framework to characterize Mott insulating phases within the interacting one-body picture, focusing on the Hubbard diamond chain featuring both Hubbard interactions and spin-orbit coupling simulated within cellular dynamical…

Strongly Correlated Electrons · Physics 2026-02-05 Theo N. Dionne , Santiago Villodre , Mikel Iraola , Maia G. Vergniory

Motivated by the realization of spin-valley Hubbard on triangular moir\'e superlattice in ABC trilayer graphene aligned with hexagon boron nitride (hBN) and possibly also in twisted transition metal dichalcogenide homobilayers, we study…

Strongly Correlated Electrons · Physics 2020-01-22 Ya-Hui Zhang , Dan Mao

We calculate the Hubbard bands for the half-filled Hubbard model on a Bethe lattice with infinite coordination number up to and including third order in the inverse Hubbard interaction. We employ the Kato--Takahashi perturbation theory to…

Strongly Correlated Electrons · Physics 2015-05-20 Daniel Ruhl , Florian Gebhard

Using the formalism of pseudospin and isospin operators the Hamiltonian of an effective Kugel-Khomskii model with spin-orbit coupling is derived with an exact account of the $t_{2g}$ multiplet splitting by the crystal field. An analytical…

Strongly Correlated Electrons · Physics 2026-02-27 D. E. Chizhov , P. A. Igoshev , V. Yu. Irkhin

By means of slave-boson theory for the Hubbard model on the checkerboard lattice, we calculate dynamical altermagnetic spin susceptibilities from the metallic to the Mott-insulating regime. We track magnon dispersion and lifetime…

We study the spin-$\frac32$ Hubbard-Kondo lattice model by means of the Composite Operator Method, after applying a Holstein-Primakov transformation. The spin and particle dynamics in the ferromagnetic state are calculated by taking into…

Strongly Correlated Electrons · Physics 2007-07-27 Adolfo Avella , Ferdinando Mancini

We investigate the Mott transitions in the two-orbital Hubbard model with different bandwidths. By combining dynamical mean field theory with the exact diagonalization, we discuss the stability of itinerant quasi-particle states in each…

Strongly Correlated Electrons · Physics 2009-11-10 Akihisa Koga , Norio Kawakami , T. M. Rice , Manfred Sigrist

We investigate the Mott transitions in two-band Hubbard models with different bandwidths. Applying dynamical mean field theory, we discuss the stability of itinerant quasi-particle states in each band. We demonstrate that separate Mott…

Strongly Correlated Electrons · Physics 2009-11-10 Akihisa Koga , Norio Kawakami , T. M. Rice , Manfred Sigrist

A three band model containing the essential physics of transition metal oxides with partially filled t_2g shells is solved in the single-site dynamical mean field approximation, using the full rotationally invariant Slater-Kanamori…

Strongly Correlated Electrons · Physics 2009-03-30 Philipp Werner , Emanuel Gull , Andrew J. Millis
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