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Strongly correlated electrons on frustrated lattices

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TLDR
In this article, the authors review two recent theoretical works on strongly correlated electrons on typical frustrated lattices and derive a low-energy effective model for the 3-orbital t2g Hubbard model on the pyrochlore lattice at quarter filling.
Abstract
We review our two recent theoretical works on strongly correlated electrons on typical frustrated lattices. The first topic is about a Mott transition in the single-band Hubbard model on anisotropic triangular lattice, and we discuss a reentrant behaviour of metal-insulator transition, consistent with that in a ?-type BEDT-TTF salt. The second topic is about heavy fermion behaviour in the vanadium spinel LiV2O4. We study the 3-orbital t2g Hubbard model on the pyrochlore lattice at quarter filling and derive its low-energy effective model. The correlations of spin and orbital degrees of freedom are discussed.

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LiV204: frustration induced heavy fermion metal

TL;DR: In this paper, a two-stage spin-quenching scenario for the unusual heavy fermion state realized in the mixed valent metal LiV2O4 was proposed, where local valence fluctuations are responsible for the formation of partially quenched, spin-1/2 moments below room temperature.
References
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Journal ArticleDOI

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

TL;DR: The dynamical mean field theory of strongly correlated electron systems is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.
Journal ArticleDOI

Spin liquid state in an organic Mott insulator with a triangular lattice.

TL;DR: 1H NMR and static susceptibility measurements have been performed in an organic Mott insulator with a nearly isotropic triangular lattice and suggest that a quantum spin liquid state is realized in the close proximity of the superconducting state appearing under pressure.
Journal ArticleDOI

On the ground state properties of the anisotropic triangular antiferromagnet

TL;DR: The ground state of the triangular antiferromagnet is different from the conventional three-sublattice Neel state as mentioned in this paper, and it seems to be probable that this type of ground state prevails in the anisotropy region between the Ising model and the isotropic Heisenberg model.
Journal ArticleDOI

Cellular Dynamical Mean Field Approach to Strongly Correlated Systems

TL;DR: In this paper, a cellular version of dynamical mean field theory is proposed, which gives a natural generalization of its original single-site construction and is formulated in different sets of variables.
Journal ArticleDOI

LiV 2 O 4 : A Heavy Fermion Transition Metal Oxide

TL;DR: In this paper, a crossover from localized moment magnetism to heavy Fermi liquid behavior was reported for the metallic compound with the fcc normal-spinel structure, and the electronic heat capacity coefficient was reported to be approximately 0.42.
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