Ferromagnetism and Metal-Insulator Transition in the Disordered Hubbard Model

Byczuk, Krzysztof; Ulmke, M.; Vollhardt, D.

doi:10.1103/physrevlett.90.196403

Cited by 56 publications

(77 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In the presence of interaction a Mott insulator at fractional particle filling ν = x or ν = 1 + x is allowed. 39,47 Here we investigate how Anderson localization modifies these predictions.…”

Section: Anderson-hubbard Model With Binary-alloy Disordermentioning

confidence: 99%

Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder

2010

View full text Add to dashboard Cite

Strongly correlated fermions in a crystal or in an optical lattice in the presence of binary alloy disorder are investigated. We employ the statistical dynamical mean-field theory, which incorporates both, fluctuations due to disorder and local correlations due to interaction, to solve the AndersonHubbard model. Localization due to disorder is studied by means of the probability distribution function of the local density of states. We obtain a complete paramagnetic ground state phase diagram consisting of disordered correlated metal, Anderson-Mott insulator, and band insulator.

show abstract

Section: Anderson-hubbard Model With Binary-alloy Disordermentioning

confidence: 99%

Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder

2010

View full text Add to dashboard Cite

show abstract

“…Namely, it was predicted that a disorder induced splitting of the band ("alloy-band splitting") can enhance the critical temperature for the onset of itinerant ferromagnetism [124,125]. Another direct consequence of the alloy-band splitting is the fact that, if the alloy subband is effectively half-filled, a Mott-Hubbard metal-insulator transition can occur at non-integer filling [126].…”

Section: Electronic Correlations and Disordermentioning

confidence: 99%

Dynamical Mean-Field Theory

Vollhardt

Byczuk

Kollar

2011

Springer Series in Solid-State Sciences

Self Cite

View full text Add to dashboard Cite

Abstract. The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular, the combination of the DMFT with conventional methods for the calculation of electronic band structures has led to a powerful numerical approach which allows one to explore the properties of correlated materials. In this introductory article we discuss the foundations of the DMFT, derive the underlying self-consistency equations, and present several applications which have provided important insights into the properties of correlated matter. Motivation Electronic CorrelationsAlready in 1937, at the outset of modern solid state physics, de Boer and Verwey [1] drew attention to the surprising properties of materials with incompletely filled 3d-bands. This observation prompted Mott and Peierls [2] to discuss the interaction between the electrons. Ever since transition metal oxides (TMOs) were investigated intensively [3]. It is now well-known that in many materials with partially filled electron shells, such as the 3d transition metals V and Ni and their oxides, or 4f rare-earth metals such as Ce, electrons occupy narrow orbitals. The spatial confinement enhances the effect of the Coulomb interaction between the electrons, making them "strongly correlated". Correlation effects can lead to profound quantitative and qualitative changes of the physical properties of electronic systems as compared to non-interacting particles. In particular, they often respond very strongly to changes in external parameters. This is expressed by large renormalizations of the response functions of the system, e.g., of the spin susceptibility and the charge compressibility. In particular, the interplay between the spin, charge and orbital degrees of freedom of the correlated d and f electrons and with the lattice degrees of freedom leads to an amazing multitude of ordering phenomena and other fascinating properties, including high temperature superconductivity, colossal magnetoresistance and Mott metal-insulator transitions [3].arXiv:1109.4833v1 [cond-mat.str-el]

show abstract

“…A considerable amount is known concerning this model in one dimension 6 , but the existence of an interaction driven metallic phase at halffilling is still unresolved even in d = 1. Metal-insulator transitions in a related system with randomly located site energies with a bimodal distribution have also been studied within DMFT 7,8 .…”

Section: Introductionmentioning

confidence: 99%

Quantum Monte Carlo Study of an Interaction-Driven Band-Insulator–to–Metal Transition

et al. 2007

View full text Add to dashboard Cite

We study the transitions from band insulator to metal to Mott insulator in the ionic Hubbard model on a two dimensional square lattice using determinant Quantum Monte Carlo. Evaluation of the temperature dependence of the conductivity demonstrates that the metallic region extends for a finite range of interaction values. The Mott phase at strong coupling is accompanied by antiferromagnetic (AF) order. Inclusion of these intersite correlations changes the phase diagram qualitatively compared to dynamical mean field theory.

show abstract

Ferromagnetism and Metal-Insulator Transition in the Disordered Hubbard Model

Cited by 56 publications

References 34 publications

Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder

Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder

Dynamical Mean-Field Theory

Quantum Monte Carlo Study of an Interaction-Driven Band-Insulator–to–Metal Transition

Contact Info

Product

Resources

About