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The Hubbard model provides an idealized description of electronic correlations in solids. Despite its simplicity, the model features a competition between several different phases that have made it one of the most studied systems in…

Strongly Correlated Electrons · Physics 2023-05-09 Sergii Grytsiuk , Mikhail I. Katsnelson , Erik G. C. P. van Loon , Malte Rösner

We examine finite-temperature phase transitions in the two-orbital Hubbard model with different bandwidths by means of the dynamical mean-field theory combined with the continuous-time quantum Monte Carlo method. It is found that there…

Strongly Correlated Electrons · Physics 2015-10-28 Aaram J. Kim , MooYoung Choi , Gun Sang Jeon

In order to clarify the physics of the crossover from a Peierls band insulator to a correlated Mott-Hubbard insulator, we analyze ground-state and spectral properties of the one-dimensional half-filled Holstein-Hubbard model using…

Strongly Correlated Electrons · Physics 2009-11-07 H. Fehske , A. P. Kampf , M. Sekania , G. Wellein

While the phase diagrams of the one- and multi-orbital Hubbard model have been well studied, the physics of real Mott insulators is often much richer, material dependent, and poorly understood. In the prototype Mott insulator…

Strongly Correlated Electrons · Physics 2018-09-06 Frank Lechermann , Noam Bernstein , I. I. Mazin , Roser Valentí

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

We investigate nonmagnetic metal-insulator transition in the 1/5-depleted square lattice Hubbard model at half-filling within the 8-site cellular dynamical mean field theory. We find that a metal-insulator transition without any signatures…

Strongly Correlated Electrons · Physics 2014-08-19 Yuki Yanagi , Kazuo Ueda

More than half a century after first being proposed by Sir Nevill Mott, the deceptively simple question of whether the interaction-driven electronic metal-insulator transition may be continuous remains enigmatic. Recent experiments on…

Strongly Correlated Electrons · Physics 2015-06-30 Ryan V. Mishmash , Ivan Gonzalez , Roger G. Melko , Olexei I. Motrunich , Matthew P. A. Fisher

We present the influence of spin correlation on the metal-insulator transitions (MIT) in two-orbital Hubbard models by the Kotliar-Ruckenstein slave-boson approach. In the asymmetric half-filling situation, the two orbits simultaneously…

Strongly Correlated Electrons · Physics 2015-03-19 Ya-Min Quan , Liang-Jian Zou , Hai-Qing Lin

The Hubbard model on the honeycomb lattice undergoes a quantum phase transition from a semimetallic to a Mott insulating phase and from a disordered to an anti-ferromagnetically phase. We show that these transitions occur simultaneously and…

Strongly Correlated Electrons · Physics 2022-07-26 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

This article contains a theoretical overview of the physical properties of antiferromagnetic Mott insulators in spatial dimensions greater than one. Many such materials have been experimentally studied in the past decade and a half, and we…

Strongly Correlated Electrons · Physics 2009-11-10 Subir Sachdev

We investigate an experimental toy-model system of a pseudospin-half square-lattice Hubbard Hamiltonian in [(SrIrO3)1/(CaTiO3)1] to include both nontrivial complex hopping and moderate electronic correlation. While the former induces…

We investigate the magnetic properties and Mott transition in the Hubbard model for weakly coupled chains on the anisotropic triangular lattice. Taking into account 120$^\circ$ N\'eel, and collinear orderings, the magnetic phase diagram is…

Strongly Correlated Electrons · Physics 2015-06-22 Atsushi Yamada

Electrons can organize themselves into charge-ordered states to minimize the effects of long-ranged Coulomb interactions. In the presence of a lattice, commensurability constraints lead to the emergence of incompressible Wigner-Mott…

Strongly Correlated Electrons · Physics 2024-12-31 Thomas G. Kiely , Debanjan Chowdhury

We examine whether the Mott transition of a half-filled, two-orbital Hubbard model with unequal bandwidths occurs simultaneously for both bands or whether it is a two-stage process in which the orbital with narrower bandwith localizes first…

Strongly Correlated Electrons · Physics 2007-05-23 L. de' Medici , A. Georges , S. Biermann

A fundamental issue of the Mott transition is how electrons behaving as single particles carrying spin and charge in a metal change into those exhibiting separated spin and charge excitations (low-energy spin excitation and high-energy…

Strongly Correlated Electrons · Physics 2023-09-13 Masanori Kohno

The metal-insulator transition of the quarter-filled Hubbard model on triangular lattice is studied at the mean field level. We find a quasi-one dimensional metallic state with a collinear magnetic order competes closely with an insulating…

Strongly Correlated Electrons · Physics 2010-01-06 Tao Li

We study Mott insulator - superfluid transition in a two-band boson Hubbard model, which can be mapped onto a spin-1/2 XY model with spins coupled to an additional Ising degree of freedom. By using a modified mean field theory that include…

Statistical Mechanics · Physics 2009-11-13 Huai-Bin Zhuang , Michael Ma , Xi Dai , Fu-Chun Zhang

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 bad-metal behavior of the iron pnictides has motivated a theoretical description in terms of a proximity to Mott localization. Since the parent compounds of the iron pnictides contain an even number of 3d-electrons per Fe, it is…

Strongly Correlated Electrons · Physics 2011-12-06 Rong Yu , Qimiao Si

We study the non-equilibrium dynamics of the zero temperature Mott insulator- superfluid quantum phase transition in a lattice of weakly coupled Bose-Einstein condensates. We show that crossing the critical point from the insulating to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Dziarmaga , A. Smerzi , W. H. Zurek , A. R. Bishop