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The theory for disordered itinerant ferromagnets developed in a previous paper is used to construct a simple effective field theory that is capable of describing the quantum phase transition from a ferromagnetic metal to a ferromagnetic…

Statistical Mechanics · Physics 2009-10-31 T. R. Kirkpatrick , D. Belitz

We combine a recent mapping of the Anderson-Mott metal-insulator transition on a random-field problem with scaling concepts for random-field magnets to argue that disordered electrons near an Anderson-Mott transition show glass-like…

Statistical Mechanics · Physics 2009-10-28 D. Belitz , T. R. Kirkpatrick

The Anderson-Mott transition of disordered interacting electrons is shown to share many physical and technical features with classical random-field systems. A renormalization group study of an order parameter field theory for the…

Condensed Matter · Physics 2009-10-22 T. R. Kirkpatrick , D. Belitz

We consider a model for a metal-insulator transition of correlated electrons in an external magnetic field. We find a broad region in interaction and magnetic field where metallic and insulating (fully magnetized) solutions coexist and the…

Strongly Correlated Electrons · Physics 2009-10-31 V. Janis , G. Czycholl

We study the role of electronic correlation in a disordered two-dimensional model by using a variational wave function that can interpolate between Anderson and Mott insulators. Within this approach, the Anderson-Mott transition can be…

Strongly Correlated Electrons · Physics 2009-11-13 Maria Elisabetta Pezzoli , Federico Becca , Michele Fabrizio , Giuseppe Santoro

We discuss a recent mapping of the Anderson-Mott metal-insulator transition onto a random field magnet problem. The most important new idea introduced is to describe the metal-insulator transition in terms of an order parameter expansion…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

The problem of noninteracting electrons in the presence of annealed magnetic disorder, in addition to nonmagnetic quenched disorder, is considered. It is shown that the proper physical interpretation of this model is one of electrons…

Statistical Mechanics · Physics 2009-11-07 D. Belitz , T. R. Kirkpatrick

The Anderson metal-insulator transition is a continuous phase transition driven by disorder. It remains a challenging problem to theoretically determine universal critical properties at the transition. The Anderson transition in a model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. W. Brouwer , A. Furusaki , C. Mudry , S. Ryu

We study the antiferromagnetic metal to antiferromagnetic insulator using dynamical mean field theory and exact diagonalization methods. We find two qualitatively different behaviors depending on the degree of magnetic correlations. For…

Strongly Correlated Electrons · Physics 2009-10-31 R. Chitra , G. Kotliar

The double-exchange model for the Mn oxides with orbital degeneracy is studied with including on-site Coulomb repulsion, Jahn-Teller (J-T) coupling and doping-induced disorder. In the strong interaction limit, it is mapped onto a…

Strongly Correlated Electrons · Physics 2009-10-31 L. Sheng , D. N. Sheng , C. S. Ting

We study effects of classical magnetic impurities on the Anderson metal-insulator transition numerically. We find that a small concentration of Heisenberg impurities enhances the critical disorder amplitude $W_{\rm c}$ with increasing…

Disordered Systems and Neural Networks · Physics 2016-07-19 Daniel Jung , Keith Slevin , Stefan Kettemann

We investigate the paramagnetic-metal-to-antiferromagnetic-metal and antiferromagnetic-metal-to- antiferromagnetic-insulator transitions using a slave-boson mean-field theory. To this effect, we discuss the ground state of the half-filled…

Strongly Correlated Electrons · Physics 2009-10-31 Imseok Yang , Ekkehard Lange , Gabriel Kotliar

An order parameter description of the Anderson-Mott transition (AMT) is given. We first derive an order parameter field theory for the AMT, and then present a mean-field solution. It is shown that the mean-field critical exponents are exact…

Condensed Matter · Physics 2009-10-22 D. Belitz , T. R. Kirkpatrick

We report a finite size scaling study of the Anderson transition. Different scaling functions and different values for the critical exponent have been found, consistent with the existence of the orthogonal and unitary universality classes…

Disordered Systems and Neural Networks · Physics 2009-10-30 Keith Slevin , Tomi Ohtsuki

Although quantum phase transitions involved with Anderson localization had been investigated for more than a half century, the role of spin polarization in these metal-insulator transitions has not been clearly addressed as a function of…

Disordered Systems and Neural Networks · Physics 2021-08-25 Kyung-Yong Park , Hyun-Jung Lee , Ki-Seok Kim

We investigate the finite-size scaling of the boundary quantum geometric tensor (QGT) numerically close to the Anderson localization transition in the presence of small external magnetic fields. The QGT exhibits universal scaling and…

Disordered Systems and Neural Networks · Physics 2019-03-27 Miklós Antal Werner , Arne Brataas , Felix von Oppen , Gergely Zaránd

Magnetization curve and changes of the single-particle excitation spectra by magnetic field are calculated for the periodic Anderson model at half-filling in infinite spatial dimension by using the exact diagonalization method. It is found…

Condensed Matter · Physics 2009-10-28 Tetsuro Saso , Masatoshi Itoh

We present a scaling theory of magneto-transport in Anderson-localized disordered ferromagnets. Within our framework a pronounced magnetic-field-sensitive resistance peak emerges naturally for temperatures near the magnetic phase…

Materials Science · Physics 2009-11-10 Gergely Zarand , Catalin Pascu Moca , Boldizsar Janko

In this overview we provide a general introduction to metal-insulator transitions, with focus on specific mechanisms that can localize the electrons in absence of magnetic or charge ordering, and produce well defined quantum critical…

Strongly Correlated Electrons · Physics 2011-12-30 V. Dobrosavljevic

Metal-insulator transitions driven by magnetic fields have been extensively studied in 2D, but a 3D theory is still lacking. Motivated by recent experiments, we develop a scaling theory for the metal-insulator transitions in the…

Mesoscale and Nanoscale Physics · Physics 2021-07-29 Peng-Lu Zhao , Hai-Zhou Lu , X. C. Xie
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