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We study dilution effects in a Mott insulating state with quantum orbital degree of freedom, termed the two-dimensional orbital compass model. This is a quantum and two-dimensional version of the orbital model where the interactions along…

Strongly Correlated Electrons · Physics 2009-11-11 Takayoshi Tanaka , Sumio Ishihara

The role of orbital ordering on metal-insulator transition of transition-metal oxides is investigated by the cluster self-consistent field approach in the strong correlation regime. A clear dependence of the insulating gap on the orbital…

Strongly Correlated Electrons · Physics 2007-09-25 Dong-Meng Chen , Liang-Jian Zou

We summarize some characteristic features of the frustrated magnetic interactions in spin-orbital models adequate for cubic transition metal oxides with orbital degeneracy. A generic tendency towards dimerization, found already in the…

Strongly Correlated Electrons · Physics 2015-06-24 Andrzej M. Oles

We found direct experimental evidence for an orbital switching in the V 3d states across the metal-insulator transition in VO$_{2}$. We have used soft-x-ray absorption spectroscopy at the V $L_{2,3}$ edges as a sensitive local probe, and…

Motivated by recent experiments on vanadium spinels, $A$V$_2$O$_4$, that show an increasing degree of electronic delocalization for smaller cation sizes, we study the evolution of orbital ordering (OO) between the strong and…

Strongly Correlated Electrons · Physics 2012-08-13 Yasuyuki Kato , Gia-Wei Chern , K. A. Al-Hassanieh , Natalia B. Perkins , C. D. Batista

Mixed order transitions are those which show a discontinuity of the order parameter as well as a divergent correlation length. We show that the behaviour of the order parameter correlation function along the transition line of mixed order…

Statistical Mechanics · Physics 2019-09-04 Mustansir Barma , Satya N. Majumdar , David Mukamel

We study the low-temperature properties of the classical three-dimensional compass or $t_{2g}$ orbital model on simple-cubic lattices by means of comprehensive large-scale Monte Carlo simulations. Our numerical results give evidence for a…

Statistical Mechanics · Physics 2015-01-19 Max H. Gerlach , Wolfhard Janke

We introduce and analyze an exactly soluble one-dimensional Ising model with long range interactions which exhibits a mixed order transition (MOT), namely a phase transition in which the order parameter is discontinuous as in first order…

Statistical Mechanics · Physics 2013-12-03 Amir Bar , David Mukamel

We study orbital Mott transition in two dimensional pyrochlore lattice, using a two orbital Hubbard model with only inter-orbital electronic hopping. We use a real space Monte Carlo based approach to study the model at finite temperature,…

Strongly Correlated Electrons · Physics 2020-04-14 Abhinav Saket , Rajarshi Tiwari

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

Orbital degrees of freedom shape many of the properties of a wide class of Mott insulating, transition metal oxides with partially filled 3d-shells. Here we study orbital ordering transitions in systems where a single electron occupies the…

Strongly Correlated Electrons · Physics 2010-09-28 Andre van Rynbach , Synge Todo , Simon Trebst

We use the two-step density-matrix renormalization group method to elucidate the long-standing issue of the universality class of the Mott transition in the Hubbard model in two dimensions. We studied a spatially anisotropic two-dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 S. Moukouri , Eitan Eidelstein

We discuss orientational order in two dimensions in the context of systems with competing isotropic interactions at different scales. We consider an extension of the Brazovskii model for stripe phases including explicitly quartic terms with…

Soft Condensed Matter · Physics 2009-05-20 Daniel G. Barci , Daniel A. Stariolo

We investigate the metal-to-insulator phase transition driven by the density-density electronic interaction in the quarter-filled model on a cubic lattice with two orbitals split by a crystal field. We show that a systematic consideration…

Strongly Correlated Electrons · Physics 2023-05-30 M. Vandelli , J. Kaufmann , V. Harkov , A. I. Lichtenstein , K. Held , E. A. Stepanov

The universality class of the dynamic magnetisation-reversal transition, induced by a competing field pulse, in an Ising model on a square lattice, below its static ordering temperature, is studied here using Monte Carlo simulations. Fourth…

Statistical Mechanics · Physics 2009-11-07 Arnab Chatterjee , Bikas K. Chakrabarti

Spin correlations in metallic and insulating phases of $V_2O_3$ and its derivatives are investigated using magnetic neutron scattering. Metallic samples have incommensurate spin correlations varying little with hole doping. Paramagnetic…

Strongly Correlated Electrons · Physics 2009-10-28 Wei Bao , C. Broholm , G. Aeppli , P. Dai , J. M. Honig , P. Metcalf

We study the effect of thermal fluctuations in the XY-model on a surface with non vanishing mean curvature and zero Gaussian curvature. Unlike Gaussian curvature that typically frustrates orientational order, the extrinsic curvature of the…

Statistical Mechanics · Physics 2016-09-05 Carolina Brito , Vincenzo Vitelli , Olivier Dauchot

Phase transition and critical properties of Ising-like spin-orbital interacting systems in 2-dimensional triangular lattice are investigated. We first show that the ground state of the system is a composite spin-orbital ferro-ordered phase.…

Statistical Mechanics · Physics 2009-11-13 Huai-Bao Tang , Dong-Meng Chen , Xiang-Fei Wei , Liang-Jian Zou

Mott transitions in the two-orbital Hubbard model with different bandwidths are investigated at finite temperatures. By means of the self-energy functional approach, we discuss the stability of the intermediate phase with one orbital…

Strongly Correlated Electrons · Physics 2009-11-11 Kensuke Inaba , Akihisa Koga , Sei-ichiro Suga , Norio Kawakami

Mixed order phase transitions (MOT), which display discontinuous order parameter and diverging correlation length, appear in several seemingly unrelated settings ranging from equilibrium models with long-range interactions to models far…

Statistical Mechanics · Physics 2015-06-22 Amir Bar , David Mukamel
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