Thermodynamic studies of the two dimensional Falicov-Kimball model on a triangular lattice

Yadav, Umesh K.; Maitra, T.; Singh, Ishwar

doi:10.1140/epjb/e2011-20670-3

Cited by 12 publications

(6 citation statements)

References 38 publications

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“…The triangular lattice is geometrically frustrated; thus, the regular charge ordering as the one in the square lattice does not occur at low temperatures. [28][29][30][31] Instead, striped or bounded phases are formed. [28][29][30][31] However, one might expect that the next-nearest-neighbor hopping t 2 is always smaller than the nearest-neighbor hopping t, and for small values of t 2 the frustrations of the individual sublattices do not break the bipartite structure of the whole honeycomb lattice.…”

Section: The Haldane Model With Local Interactionmentioning

confidence: 99%

Correlation-driven phase transition in a Chern insulator

Nguyen¹,

Tran

2013

Phys. Rev. B

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The phase transition driven by electron correlations in a Chern insulator is investigated within the dynamical mean-field theory. The Chern insulator is described by the Haldane model and the electron correlations are incorporated by introducing the short-range interaction between the itinerant electrons and localized fermions. In the preservation of the inversion symmetry, the electron correlations drive the system from the Chern insulator to a renormalized pseudogap metal, and then to the topologically trivial Mott insulator. When the inversion symmetry is broken, a charge ordering and a nontrivial Chern topological invariant coexist

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Section: The Haldane Model With Local Interactionmentioning

confidence: 99%

Correlation-driven phase transition in a Chern insulator

Nguyen¹,

Tran

2013

Phys. Rev. B

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“…The eigenvalue spectrum of the FKM Hamiltonian is obtained by numerical diagonalization technique on a finite-size triangular lattice with periodic boundary conditions (PBC). In order to calculate the average values of the physical quantities the classical Monte-Carlo simulation algorithm is employed by 'annealing' over a subset of configurations of the 'classical' variables {ω iσ = f † iσ f iσ } [5,6,7,8].…”

Section: Methodsmentioning

confidence: 99%

Effect of super-exchange interaction on ground state magnetic properties of spin-dependent Falicov-Kimball model on a triangular lattice

Kumar

Yadav

Maitra

et al. 2015

AIP Conference Proceedings

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Ground state magnetic properties are studied by incorporating the super-exchange interaction (J se) in the spindependent Falicov-Kimball model (FKM) between localized (f-) electrons on a triangular lattice for half filled case. Numerical diagonalization and Monte-Carlo simulation are used to study the ground state magnetic properties. We have found that the magnetic moment of (d-) and (f-) electrons strongly depend on the value of Hund's exchange (J), superexchange interaction (J se) and also depends on the number of (d-) electrons (N d). The ground state changes from antiferromagnetic (AFM) to ferromagnetic (FM) state as we decrease (N d). Also the density of d electrons at each site depends on the value of J and J se .

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“…It is shown that these systems may very well be described by different variants of the Falicov-Kimball model (FKM) [15,16,23,24,25,26,27,11] on the triangular lattice. The FKM (having two kinds of states namely itinerant states and localized states) was originally introduced to study the metal-insulator transition in the rare-earth and transition-metal compounds [28,29].…”

Section: Introductionmentioning

confidence: 99%

“…Many numerical and exact calculations are available for the different extensions of spinless FKM on the bipartite and non-bipatatite lattices in the absence of magnetic field and taking into account interactions between itinerant and localized electrons [30,31,23,24,25,26]. These results show many novel phenomenon like charge and orbital ordering and metal-insulator transition as a function of electron correlations and filling of the electrons.…”

Section: Introductionmentioning

confidence: 99%

Metal-Insulator Transition and Band Magnetism in the Spin-$1/2$ Falicov-Kimball Model on A Triangular Lattice with External Magnetic Field

Yadav

2020

Preprint

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Ground state properties of the spin−1/2 Falicov-Kimball model on a triangular lattice in the presence of uniform external magnetic field are explored. Both the orbital and the Zeeman field-induced effects are taken into account and in each unit cell only rational flux fractions are considered. Numerical results, obtained with the help of Monte Carlo simulation algorithm, reveal that the ground state properties strongly depend on the onsite Coulomb correlation between itinerant and localized electrons, orbital magnetic field as well as the Zeeman splitting. Strikingly, for the on-site Coulomb correlation U/t ≈ 1, the Zeeman splitting produces a phase transition from paramagnetic metal/insulator to ferromagnetic insulator/metal transition in the itinerant electron subsystem accompanied by the phase segregation to the bounded/regular phase in the localized electrons subsystem. For the onsite Coulomb correlation U/t ≈ 5, although no metal to insulator transition is observed but a magnetic phase transition from paramagnetic phase to ferromagnetic phase in the itinerant electron subsystem is observed with the Zeeman splitting. These results are applicable to the layered systems e.g. cobaltates, rare earth and transition metal dichalcogenides, GdI 2 , N aT iO 2 , N aV O 2 and Be x Zn 1−x O etc. It has been also proposed that the results can be realized in the optical lattices with mixtures of light atoms and heavy atoms using the cold atomic techniques.

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Thermodynamic studies of the two dimensional Falicov-Kimball model on a triangular lattice

Cited by 12 publications

References 38 publications

Correlation-driven phase transition in a Chern insulator

Correlation-driven phase transition in a Chern insulator

Effect of super-exchange interaction on ground state magnetic properties of spin-dependent Falicov-Kimball model on a triangular lattice

Metal-Insulator Transition and Band Magnetism in the Spin-$1/2$ Falicov-Kimball Model on A Triangular Lattice with External Magnetic Field

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