Anderson localization on Falicov-Kimball model with next-nearest-neighbor hopping and long-range correlated disorder

Abstract

The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory for the Anderson-Falicov-Kimball model with nearest-neighbors and next-nearestneighbors hopping. The half-filled band is analyzed in terms of the chemical potential of the system using the geometric and arithmetic averages. We also introduce the on-site energies exhibiting a long-range correlated disorder, which generates a system with similar characteristics as the one created by a random independent variable distribution. A decrease in the correlated disorder reduces the extended phase.

Flat-band localization in the Anderson-Falicov-Kimball model

“…The averaged LDOS can vanish in the band center at a critical disorder strength for a wide variety of averages. 11,12 In particular, the arithmetic mean of this random one-particle quantity is non-critical at the Anderson transition and hence cannot help to detect the localization transition. By contrast, the geometric mean gives a better estimate of the averaged value of the LDOS, 9,13 as it vanishes at a critical disorder strength and hence provides an explicit criterion for the Anderson localization.…”

“…11 Second, we have analyzed how the presence of the next-nearest-neighbor hopping influences the phase diagram of the ground state of this model, and, third, we studied the main effects of the long-range correlated disorder. 12 This paper is organized as follows. In the next section II we introduce the Anderson-Falikov-Kimball model.…”

Electronic transport through correlated electron systems with nonhomogeneous charge orderings

“…It is worth to emphasize that nonhomogeneous charge phases play an important role in studies of various phenomena modeled by the FKM including crystallization [77][78][79], metal-insulator and valence transitions [80][81][82][83][84][85][86][87][88][89], localization [86,[90][91][92][93], distribution of heavy and light cold atoms in optical lattices [70,[94][95][96][97] or the studies of non-local correlations [98][99][100][101]. They should be also considered when addressing different nonequilibrium phenomena [102][103][104][105][106][107][108][109][110] and any type of transport [73,93,[111][112][113][114][115] while dealing with a system outside the PHS point, e.g., a doped system.…”

Anderson localisation on the Falicov-Kimball model with Coulomb disorder

“…On the other hand, the Mott-Hubbard MIT is caused by correlations arising from Coulomb interactions in a disorder-free system [3]. Both types of MIT have been extensively explored on its own framework and also when Coulomb correlations and on-site disordered potentials are simultaneously involved [4][5][6][7][8][9][10]. Then, if the disorder is intense enough, the Mott-Hubbard MIT will naturally take Anderson-localization effects into account.…”