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We determine the scaling functions describing the crossover from Ising-like critical behavior to classical critical behavior in two-dimensional systems with a variable interaction range. Since this crossover spans several decades in the…

Statistical Mechanics · Physics 2009-10-30 Erik Luijten , Henk W. J. Blöte , Kurt Binder

A strong-coupling expansion for the Green's functions, self-energies and correlation functions of the Bose Hubbard model is developed. We illustrate the general formalism, which includes all possible inhomogeneous effects in the formalism,…

Other Condensed Matter · Physics 2009-07-09 J. K. Freericks , H. R. Krishnamurthy , Yasuyuki Kato , Naoki Kawashima , Nandini Trivedi

The low-temperature resistivity of a SiGe 2-dimensional hole gas has been studied using the gate controlled carrier density as a parameter. A metal-insulator transition is seen both in the temperature and in the electric field behaviour.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Senz , U. Doetsch , U. Gennser , T. Ihn , T. Heinzel , K. Ensslin , R. Hartmann , D. Gruetzmacher

The localization-delocalization transition is at the heart of strong correlation physics. Recently, there is great interest in multiorbital systems where this transition can be restricted to certain orbitals, leading to an orbital-selective…

Strongly Correlated Electrons · Physics 2022-08-24 Fabian B. Kugler , Gabriel Kotliar

On the basis of the Kubo-Luttinger linear response theory combined with the scaling theory of Anderson localization predicting the energy dependence of localization length near the mobility edge, we have studied the thermoelectric response…

Materials Science · Physics 2022-04-07 Takahiro Yamamoto , Masao Ogata , Hidetoshi Fukuyama

The influence of short-range Coulomb correlations on the Mott transition in the single-band Hubbard model at half-filling is studied within cellular dynamical mean field theory for square and triangular lattices. Finite-temperature exact…

Strongly Correlated Electrons · Physics 2009-11-13 A. Liebsch , H. Ishida , J. Merino

We consider a minimal model to investigate the metal-insulator transition in VO$_2$. We adopt a Hubbard model with two orbital per unit cell, which captures the competition between Mott and singlet-dimer localization. We solve the model…

Strongly Correlated Electrons · Physics 2017-01-12 Óscar Nájera , Marcello Civelli , Vladimir Dobrosavljević , Marcelo J. Rozenberg

The problem of deconfinement phases in strongly correlated systems is discussed. In space-time dimension $d=3+1$, a competition of confinement and Coulomb phases occurs, but in $d=2+1$ the confining phase dominates owing to monopole…

Strongly Correlated Electrons · Physics 2023-01-26 V. Yu. Irkhin

Filling-control metal-insulator transition on the two-dimensional Hubbard model is investigated by using the correlator projection method, which takes into account momentum dependence of the free energy beyond the dynamical mean-field…

Strongly Correlated Electrons · Physics 2007-05-23 Kota Hanasaki , Masatoshi Imada

Several useful thermodynamic relations are derived for metal-insulator transitions, as generalizations of the Clausius-Clapeyron and Eherenfest theorems. These relations hold in any spatial dimensions and at any temperatures. First, they…

Strongly Correlated Electrons · Physics 2007-05-23 Shinji Watanabe , Masatoshi Imada

Metallic states near the Mott insulator show a variety of quantum phases including various magnetic, charge ordered states and high-temperature superconductivity in various transition metal oxides and organic solids. The emergence of a…

Strongly Correlated Electrons · Physics 2023-12-05 Kensaku Takai , Youhei Yamaji , Fakher F. Assaad , Masatoshi Imada

A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb…

Soft Condensed Matter · Physics 2023-01-09 A. Gama Goicochea , Z. Nussinov

Transport studies of a bent quantum Hall junction at integer filling factors show strongly insulating states at higher fields. In this paper we analyze the strongly insulating behavior as a function of temperature T and dc bias V, in order…

Mesoscale and Nanoscale Physics · Physics 2008-07-15 L. Steinke , D. Schuh , M. Bichler , G. Abstreiter , M. Grayson

This work explores the unique character of strongly correlated systems, specifically Mott-insulators, in the context of battery electrode materials. The study investigates the correlation between the proposed chemical potential evolution…

We study the asymptotic behaviour of a version of the one-dimensional Mott random walk in a regime that exhibits severe blocking. We establish that, for any fixed time, the appropriately-rescaled Mott random walk is situated between two…

Probability · Mathematics 2024-04-19 David A. Croydon , Ryoki Fukushima , Stefan Junk

The Mott insulator is the quintessential strongly correlated electronic state. We obtain complete insight into the physics of the two-dimensional Mott insulator by extending the slave-fermion (holon-doublon) description to finite…

Strongly Correlated Electrons · Physics 2019-07-01 Xing-Jie Han , Chuang Chen , Jing Chen , Hai-Dong Xie , Rui-Zhen Huang , Hai-Jun Liao , Bruce Normand , Zi Yang Meng , Tao Xiang

We perform a thorough study of an extended Hubbard model featuring local and nearest-neighbor Coulomb repulsion. Using dynamical mean-field theory we investigated the zero temperature phase-diagram of this model as a function of the…

Strongly Correlated Electrons · Physics 2017-03-15 K. J. Kapcia , S. Robaszkiewicz , M. Capone , A. Amaricci

We explain in a consistent manner the set of seemingly conflicting experiments on the finite temperature Mott critical point, and demonstrate that the Mott transition is in the Ising universality class. We show that, even though the…

We present a strong-coupling expansion of the Bose-Hubbard model which describes both the superfluid and the Mott phases of ultracold bosonic atoms in an optical lattice. By performing two successive Hubbard-Stratonovich transformations of…

Strongly Correlated Electrons · Physics 2007-05-23 K. Sengupta , N. Dupuis

The variable range hopping (VRH) model has been widely applied to describe electrical transport in disordered systems, providing theoretical formulas to fit temperature-dependent electric conductivity. These models rely on oversimplified…

Disordered Systems and Neural Networks · Physics 2026-01-16 Chenxin Qin , Chenyan Wang , Mouyang Cheng , Ji Chen