Anderson localisation on the Falicov-Kimball model with Coulomb disorder

Carvalho, Rubens Diego Barbosa de; Almeida, G. M. A.; Souza, André M. C.

doi:10.1140/epjb/e2014-50221-3

Cited by 5 publications

(3 citation statements)

References 29 publications

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“…In strong interaction regime, the metallic states are not available as the system is always gapped regardless of disorder strength [18,21]. It is interesting to note that new AI regions that appear in the absence of Anderson disorder were found in the Bose-Hubbard model [10,11] as well as in the Anderson-Falicov-Kimball with random on-site interactions [30], now we for the first time find it in the AHM with Coulomb disorder.…”

Section: Resultsmentioning

confidence: 58%

Anderson localization in the Anderson–Hubbard model with site-dependent interactions

Nguyen

Hoang

2022

New J. Phys.

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We consider Anderson localization in the half-filled Anderson-Hubbard model in the presence of either random on-site interactions or spatially alternating interactions in the lattice. By using dynamical mean field theory with the equation of motion method as an impurity solver, we calculate the arithmetically and geometrically averaged local density of states and derive the equations determining the critical value for the phase transition between metallic, Anderson and Mott insulating phases. The nonmagnetic ground state phase diagrams are constructed numerically. We figure out that the presence of Coulomb disorder drives the system toward the Anderson localized phase that can occur even in the absence of Anderson structural disorder. For the spatially alternating interactions, we find that the metallic region is reduced and the Mott and Anderson insulator ones are enlarged with increasing interaction modulation. Our obtained results are relevant to current research in ultracold atoms in disordered optical lattices where metal-insulator transition can be observed experimentally by using ultracold atom techniques.

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Section: Resultsmentioning

confidence: 58%

Anderson localization in the Anderson–Hubbard model with site-dependent interactions

Nguyen

Hoang

2022

New J. Phys.

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“…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.…”

Section: Introductionmentioning

confidence: 99%

Electronic transport through correlated electron systems with nonhomogeneous charge orderings

2020

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The spinless Falicov-Kimball model exhibits outside the particle-hole symmetric point different stable nonhomogeneous charge orderings. These include the well known charge stripes and a variety of orderings with phase separated domains, which can significantly influence the charge transport through the correlated electron system. We show this by investigating a heterostructure, where the Falicov-Kimball model on a finite two-dimensional lattice is located between two non-interacting semi-infinite leads. We use a combination of nonequilibrium Green's functions techniques with a signproblem-free Monte Carlo method for finite temperatures or simulated annealing technique for the ground state to address steady-state transport through the system. We show that different groundstate phases of the central system can lead to simple metallic-like or insulating charge transport characteristics, but also to more complicated current-voltage dependencies reflecting a multi-band character of the transmission function. Interestingly, with increasing temperature, the orderings tend to form transient phases before the system reaches the disordered phase. This leads to nontrivial temperature dependencies of transmission function and charge current.

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“…They demonstrated that the TDOS vanishes continuously as the strength of the disorder increases toward the critical point and it can be used as an order for the Anderson localization transition. This scheme uses only one-particle quantities and can be incorporated into the DMFT for disordered electrons in presence of Coulomb correlations [8][9][10]. Recently, the metal-insulator phase diagram in the half-filled HM with a box disorder has been investigated within the TMT -DMFT with different standard numerical impurity solvers, such as the numerical renormalization group (NRG) method [11], the four boson technique (SB4) [12].…”

Section: Introductionmentioning

confidence: 99%

Constructing Electronic Phase Diagram for the Half-filled Hubbard Model with Disorder

Tuấn¹,

Yen²

2018

Comm. in Phys.

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The electronic phase diagram of strongly correlated systems with disorder is constructed using the typical-medium theory. For half-filled system, the combination of the linearized dynamical mean field theory and equation of motion approach allows to derive the explicit equations determining the boundary between the correlated metal, Mott insulator, and Anderson insulator phases. Our phase diagram is consistent with those obtained by the more sophisticated methods.

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Anderson localisation on the Falicov-Kimball model with Coulomb disorder

Cited by 5 publications

References 29 publications

Anderson localization in the Anderson–Hubbard model with site-dependent interactions

Anderson localization in the Anderson–Hubbard model with site-dependent interactions

Electronic transport through correlated electron systems with nonhomogeneous charge orderings

Constructing Electronic Phase Diagram for the Half-filled Hubbard Model with Disorder

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