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We investigate the ground state phase diagram of the half-filled $t-t^{\prime}$ repulsive Hubbard model in the presence of a staggered ionic potential $\Delta$, using the continuum-limit bosonization approach. We find, that with increasing…

Strongly Correlated Electrons · Physics 2009-11-11 G. I. Japaridze , R. Hayn , P. Lombardo , E. Müller-Hartmann

The interaction-driven evolution from a Fermi liquid to a Mott insulator is a hallmark of strongly correlated fermion systems. In this work, we present a {\it numerically unbiased} study of such metal-to-insulator crossover in the…

Strongly Correlated Electrons · Physics 2026-02-27 Mingzhong Lu , Yu-Feng Song , Youjin Deng , Yuan-Yao He

We study by dynamical mean field theory the ground state of a quarter-filled Hubbard model of two bands with different bandwidths. At half-filling, this model is known to display an orbital selective Mott transition, with the narrower band…

Strongly Correlated Electrons · Physics 2018-07-11 Francesco Grandi , Adriano Amaricci , Massimo Capone , Michele Fabrizio

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

Small-twist-angle transition metal dichalcogenide (TMD) heterobilayers develop isolated flat moir\'e bands that are approximately described by triangular lattice generalized Hubbard models [PhysRevLett.121.026402]. In this article we…

Strongly Correlated Electrons · Physics 2021-12-16 Nai Chao Hu , Allan H. MacDonald

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

We obtain the quantum phase diagram of the Hubbard chain with alternating on-site energy at half filling. The model is relevant for the ferroelectric perovskites and organic mixed-stack donor-acceptor crystals. For any values of the…

Strongly Correlated Electrons · Physics 2009-11-07 M. E. Torio , A. A. Aligia , H. A. Ceccatto

We investigate the phase diagram of the half-filled SU(N) Hubbard-Heisenberg model with hopping t, exchange J and Hubbard U, on a square lattice. In the large-N limit, and as a function of decreasing values of t/J, the model shows a…

Strongly Correlated Electrons · Physics 2009-11-10 F. F. Assaad

We study the transition from paramagnetic metal to paramagnetic insulator by finite temperature Quantum Monte-Carlo simulations for the 2D Hubbard model at half-filling. Working at the moderately high temperature T=0.33*t where the spin…

Strongly Correlated Electrons · Physics 2007-05-23 C. Groeber , M. G. Zacher , R. Eder

We study the zero-temperature phase diagram of the half-filled one-dimensional ionic Hubbard model. This model is governed by the interplay of the on-site Coulomb repulsion and an alternating one-particle potential. Various many-body energy…

Strongly Correlated Electrons · Physics 2009-11-10 S. R. Manmana , V. Meden , R. M. Noack , K. Schoenhammer

Strong correlation effects, which are often associated to the approach to a Mott insulating state, in some cases may be observed even far from half-filling. This typically happens whenever the inter-site Coulomb repulsion induces a tendency…

Strongly Correlated Electrons · Physics 2011-04-06 Adriano Amaricci , Alberto Camjayi , Darko Tanaskovic , Kristjan Haule , Vladimir Dobrosavljevic , Gabriel Kotliar

The ionic Hubbard model is a paradigmatic setup for studying the competition between band and Mott insulating behavior. Within the variationally exact in infinite dimensions Gutzwiller approximation, we derive a compact analytic expression…

Strongly Correlated Electrons · Physics 2025-12-13 Marcin M. Wysokiński

In this report we have analyzed a simple effective model for a description of magnetically ordered insulators. The Hamiltonian considered consists of the effective on-site interaction (U) and the intersite Ising-like magnetic exchange…

Strongly Correlated Electrons · Physics 2023-07-19 Szymon Murawski , Konrad Kapcia , Grzegorz Pawłowski , Stanisław Robaszkiewicz

We study a range of thermodynamic properties (charge susceptibility, specific heat, entropy and spin susceptibility) of the Hubbard model on the anisotropic triangular lattice at half filling by means of the numerical finite-temperature…

Strongly Correlated Electrons · Physics 2013-05-30 J. Kokalj , Ross H. McKenzie

The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory recently developed by Bulla and Potthoff. The phase boundary of the metal-insulator…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Ono , R. Bulla , A. C. Hewson

Using mean-field theory, we investigate the ground state properties of ultracold bosons loaded in a honeycomb lattice with on-site repulsive interactions and imbalanced nearest-neighbor hopping amplitudes. Taking into account correlations…

Quantum Gases · Physics 2014-06-24 Krzysztof Gawryluk , Christian Miniatura , Benoît Grémaud

Flexible long period moir\' e superlattices form in two-dimensional van der Waals crystals containing layers that differ slightly in lattice constant or orientation. In this Letter we show theoretically that isolated flat moir\' e bands…

Mesoscale and Nanoscale Physics · Physics 2018-07-12 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , A. H. MacDonald

We study various Mott insulating phases of interacting spin-3/2 fermionic ultracold atoms in two-dimensional square optical lattices at half filling. Using a generalized one-band Hubbard model with hidden SO(5) symmetry, we identify two…

Strongly Correlated Electrons · Physics 2009-11-13 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

We explore the ground-state properties of the two-band Hubbard model with degenerate electronic bands, parametrized by nearest-neighbor hopping $t$, intra- and inter-orbital on-site Coulomb repulsions $U$ and $U^\prime$, and Hund coupling…

Strongly Correlated Electrons · Physics 2018-08-30 Caterina De Franco , Luca F. Tocchio , Federico Becca

We study the behavior of fermion liquid defined on hexagonal and triangular lattices with short-range repulsion at half filling. In strong coupling limit the Mott-Hubbard phase state is present, the main peculiarity of insulator state is a…

Strongly Correlated Electrons · Physics 2021-09-17 Igor N. Karnaukhov , Kateryna Levchuk , Igor N. Dubinski