Cellular dynamical mean-field theory of the periodic Anderson model

Leo, Lorenzo De; Civelli, Marcello; Kotliar, Gabriel

doi:10.1103/physrevb.77.075107

Cited by 39 publications

(9 citation statements)

References 39 publications

(51 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Generally speaking, the outlined "recipe for pseudogap", should be actually more general than the somewhat specific model that we explored. Indeed other studies 29,41,42 of hybridized localized and itinerant electrons have reported similar features in the spectrum. These studies together with ours seem to support a common scenario in which hybridizing localized and itinerant electrons can easily produce a metallic phase with a very low coherence temperature, as it happens in heavyfermions.…”

Section: Discussionsupporting

confidence: 67%

Hybridizing localized and itinerant electrons: A recipe for pseudogaps

Winograd

Medici

2014

Phys. Rev. B

View full text Add to dashboard Cite

In a system where selective Mott localization is realized, some electrons show a gap to charge excitations while others do not. A hybridization between these two kind of electrons will lead to a smoothening of this sharp difference and can even bring the system back to a complete delocalization. We show here that there is a large region of parameters at finite hybridization where the selective localization persists and the system shows a partial filling of the selective gap with incoherent states, giving rise to a pseudogap. This result is illustrated here in a two orbital Hubbard model with Hund's coupling, but is based on quite general assumptions and should hold for a larger class of systems, and possibly be a paradigm for the pseudogap mechanism in cuprates.

show abstract

Section: Discussionsupporting

confidence: 67%

Hybridizing localized and itinerant electrons: A recipe for pseudogaps

Winograd

Medici

2014

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…The Kondo effect as well as the heavy-fermion state are well described, and the phase diagram of the Kondo lattice model within DMFT has been investigated by a number of authors before. [13][14][15][16][17][18][19][20][21][22][23] In the original DMFT approach, one is interested in a homogeneous lattice, so that each site can be described by the same self-energy. Because in the superlattice the system is inhomogeneous, i.e., there are different kinds of layers with different physical properties, different lattice sites cannot be approximated with the same self-energy.…”

Section: Model and Methodsmentioning

confidence: 99%

Kondo effect inf-electron superlattices

2013

View full text Add to dashboard Cite

We demonstrate the importance of the Kondo effect in artificially created f -electron superlattices. We show that the Kondo effect does not only change the density of states of the f -electron layers, but is also the cause of pronounced resonances at the Fermi energy in the density of states of the noninteracting layers in the superlattice, which are between the f -electron layers. Remarkably, these resonances strongly depend on the structure of the superlattice; due to interference, the density of states at the Fermi energy can be strongly enhanced or even shows no changes at all. Furthermore, we show that by inserting the Kondo lattice layer into a three-dimensional metal, the gap of the Kondo insulating state changes from a full gap to a pseudogap with quadratically vanishing spectral weight around the Fermi energy. Due to the formation of the Kondo insulating state in the f -electron layer, the superlattice becomes strongly anisotropic below the Kondo temperature. We prove this by calculating the in-plane and the out-of-plane conductivity of the superlattice.

show abstract

“…Cellular DMFT rewrites the lattice problem in terms of supercells 9,[11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]88 . The lattice-site index is replaced by a double index -index of the supercell and the index of the site within the supercell.…”

Section: Cellular Dmft (Cdmft)mentioning

confidence: 99%

Practical consequences of the Luttinger-Ward functional multivaluedness for cluster DMFT methods

et al. 2018

View full text Add to dashboard Cite

The Luttinger-Ward functional (LWF) has been a starting point for conserving approximations in many-body physics for 50 years. The recent discoveries of its multivaluedness and the associated divergence of the two-particle irreducible vertex function Γ have revealed an inherent limitation of this approach. Here we demonstrate how these undesirable properties of the LWF can lead to a failure of computational methods based on an approximation of the LWF. We apply the Nested Cluster Scheme (NCS) to the Hubbard model and observe the existence of an additional stationary point of the self-consistent equations, associated with an unphysical branch of the LWF. In the strongly correlated regime, starting with the first divergence of Γ, this unphysical stationary point becomes attractive in the standard iterative technique used to solve DMFT. This leads to an incorrect solution, even in the large cluster size limit, for which we discuss diagnostics. arXiv:1709.10490v3 [cond-mat.str-el]

show abstract

Cellular dynamical mean-field theory of the periodic Anderson model

Cited by 39 publications

References 39 publications

Hybridizing localized and itinerant electrons: A recipe for pseudogaps

Hybridizing localized and itinerant electrons: A recipe for pseudogaps

Kondo effect inf-electron superlattices

Practical consequences of the Luttinger-Ward functional multivaluedness for cluster DMFT methods

Contact Info

Product

Resources

About