Hanna Terletska

TL;DR: A systematic study of incoherent transport in the high temperature crossover region of the half filled one-band Hubbard model indicates that Mott quantum criticality may be acting as the fundamental mechanism behind the unusual transport phenomena in many systems near the metal-insulator transition.

TL;DR: In this article, the experimentally established phase diagram of the half-filled Hubbard model features the existence of three distinct finite-temperature regimes, separated by extended crossover regions, and a number of crossover lines can be defined to span those regions, which explore in quantitative detail within the framework of dynamical mean-field theory.

TL;DR: In this paper, the half-filled extended Hubbard model on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size 8-20 was studied, and it was shown that the model exhibits metallic, Mott-insulating, and charge-ordered phases.

TL;DR: In this article, a typical medium dynamical cluster approximation was developed to provide a proper description of the Anderson localization transition in 3D, which successfully captures the localization phenomenon both in the low and large disorder regimes, and allows to study the localization in different momenta cells, which renders the discovery that the Anderson transition occurs in a cell-selective fashion.

TL;DR: In this paper, the authors studied the extended Hubbard model away from half filling on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size 8.