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Strongly correlated metals close to the Mott transition display unusual transport regimes, together with large spectral weight transfers in optics and photoemission. We briefly review the theoretical understanding of these effects, based on…

Strongly Correlated Electrons · Physics 2009-11-10 A. Georges , S. Florens , T. A. Costi

To gain insight into the physics of the metal insulator transition and the effectiveness of cluster dynamical mean field theory (DMFT) we have used one, two and four site dynamical mean field theory to solve a polaron model of electrons…

Strongly Correlated Electrons · Physics 2015-05-13 Chungwei Lin , Andrew J. Millis

We formulate a quantum embedding algorithm in real-space for the simultaneous theoretical treatment of nonlocal electronic correlations and disorder, the coherent cellular dynamical mean-field theory (C-CDMFT). This algorithm combines the…

Strongly Correlated Electrons · Physics 2026-01-09 Patrick Tscheppe , Marcel Klett , Henri Menke , Sabine Andergassen , Niklas Enderlein , Philipp Hansmann , Thomas Schäfer

We implement a multi-orbital cluster dynamical mean-field theory (DMFT), by improving a sample-update algorithm in the continuous-time quantum Monte Carlo method based on the interaction expansion. The proposed sampling scheme for the…

Strongly Correlated Electrons · Physics 2014-08-20 Yusuke Nomura , Shiro Sakai , Ryotaro Arita

In the most popular approach to the numerical study of the Anderson metal-insulator transition the transfer matrix method is combined with finite-size scaling ideas. This approach requires large computer resources to overcome the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alex P Taylor , Angus MacKinnon

We consider the orthogonality catastrophe at the Anderson Metal-Insulator transition (AMIT). The typical overlap $F$ between the ground state of a Fermi liquid and the one of the same system with an added potential impurity is found to…

Disordered Systems and Neural Networks · Physics 2020-02-03 Stefan Kettemann

We develop a real space cluster extension of the typical medium theory (cluster-TMT) to study Anderson localization. By construction, the cluster-TMT approach is formally equivalent to the real space cluster extension of the dynamical mean…

Disordered Systems and Neural Networks · Physics 2021-10-01 Ka-Ming Tam , Hanna Terletska , Tom Berlijn , Liviu Chioncel , Juana Moreno

Bad-Metal (BM) behavior featuring linear temperature dependence of the resistivity extending to well above the Mott-Ioffe-Regel (MIR) limit is often viewed as one of the key unresolved signatures of strong correlation. Here we associate the…

Strongly Correlated Electrons · Physics 2015-06-26 J. Vucicevic , D. Tanaskovic , M. Rozenberg , V. Dobrosavljevic

We investigate the possibility of an Anderson type transition in the quantum kicked rotor with a smooth potential due to dynamical localization of the wavefunctions. Our results show the typical characteristics of a critical behavior i.e…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rina Dutta , Pragya Shukla

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 demonstrate that by considering disordered single-particle Hamiltonians (or their random matrix versions) on ultrametric spaces one can generate an interesting class of models exhibiting Anderson metal-insulator transition. We use the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. V. Fyodorov , A. Ossipov , A. Rodriguez

The Anderson transition on random graphs draws interest through its resemblance to the many-body localization (MBL) transition with similarly debated properties. In this Letter, we construct a unitary Anderson model on Small-World graphs to…

Disordered Systems and Neural Networks · Physics 2025-02-25 Weitao Chen , Ignacio García-Mata , John Martin , Jiangbin Gong , Bertrand Georgeot , Gabriel Lemarié

We present a full description of the nonergodic properties of wavefunctions on random graphs without boundary in the localized and critical regimes of the Anderson transition. We find that they are characterized by two critical localization…

Disordered Systems and Neural Networks · Physics 2020-01-29 I. García-Mata , J. Martin , R. Dubertrand , O. Giraud , B. Georgeot , G. Lemarié

A general method to describe a second-order phase transition is discussed. It starts from the energy level statistics and uses of finite-size scaling. It is applied to the metal-insulator transition (MIT) in the Anderson model of…

Condensed Matter · Physics 2009-10-22 E. Hofstetter , M. Schreiber

We investigate the dynamics of electrons in the vicinity of the Anderson transition in $d=3$ dimensions. Using the exact eigenstates from a numerical diagonalization, a number of quantities related to the critical behavior of the diffusion…

Condensed Matter · Physics 2007-05-23 Tobias Brandes , Bodo Huckestein , Ludwig Schweitzer

This letter reports thermopower and conductivity measurements through the metal-insulator transition for 2-dimensional electron gases in high mobility Si-MOSFET's. At low temperatures both thermopower and conductivity show critical behavior…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Fletcher , V. M. Pudalov , A. D. B. Radcliffe , C. Possanzini

This paper reports thermopower and conductivity measurements through the metal-insulator transition for 2-dimensional electron gases in high mobility Si-MOSFETs. At low temperatures both thermopower and conductivity show critical behaviour…

Strongly Correlated Electrons · Physics 2009-11-07 R. Fletcher , V. M. Pudalov , A. D. B. Radcliffe , C. Possanzini

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

Starting with an extended version of the Anderson lattice where the f-electrons are allowed a weak dispersion, we examine the possibility of a Mott localization of the f-electrons, for a finite value of the hybridization $V$. We study the…

Strongly Correlated Electrons · Physics 2009-11-13 C. Pepin

Using a quantum map version of one-dimensional Anderson model, the localization-delocalization transition of quantum diffusion induced by coherent dynamical perturbation is investigated in comparison with quantum standard map. Existence of…

Disordered Systems and Neural Networks · Physics 2016-01-20 Hiroaki S. Yamada , Fumihiro Matsui , Kensuke S. Ikeda
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