Sublattice interference in the kagome Hubbard model

Kiesel, Maximilian L.; Thomale, Ronny

doi:10.1103/physrevb.86.121105

Cited by 207 publications

(203 citation statements)

References 23 publications

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“…Our results are also relevant for interacting electron systems without preformed local moments, such as Hubbard-type models [36][37][38][39]. The kagome tight-binding model is expected to exhibit weak-coupling instabilities when the electron filling reaches the QBCP or the Van Hove singularities.…”

Section: Introductionmentioning

confidence: 85%

Exotic magnetic orderings in the kagome Kondo-lattice model

et al. 2014

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We consider the Kondo-lattice model on the kagome lattice and study its weak-coupling instabilities at band filling fractions for which the Fermi surface has singularities. These singularites include Dirac points, quadratic Fermi points in contact with a flat band, and Van Hove saddle points. By combining a controlled analytical approach with large-scale numerical simulations, we demonstrate that the weak-coupling instabilities of the Kondo-lattice model lead to exotic magnetic orderings. In particular, some of these magnetic orderings produce a spontaneous quantum anomalous Hall state.

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Section: Introductionmentioning

confidence: 85%

Exotic magnetic orderings in the kagome Kondo-lattice model

et al. 2014

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“…Either way, the computational effort of fRG studies may be lowered considerably, in particular for two-dimensional systems with a sixfold symmetry, such as multilayer graphene [5][6][7] and electrons on a Kagome lattice [15,19]. Currently, two of us are preparing a publication on an fRG study of the Emery model with non-zero oxygen-oxygen hopping and at weak coupling.…”

Section: Discussionmentioning

confidence: 99%

“…An on-site Hubbard term, for example, is then rendered nonlocal by this so-called orbital makeup [25], which may have a considerable impact on the phase diagram of multiband models for unconventional superconductors, for example. It is also believed to account for the differences between the phase diagrams of extended Hubbard models on the honeycomb and the Kagome lattices [15,19]. In addition, it lends a non-trivial behavior under point-group operations to the interaction.…”

Section: Hybridizing and Non-hybridizing Bloch Basesmentioning

confidence: 99%

“…If one finds a way to deal with the phases in Equation (110), it may also be convenient to work in a non-awkward, non-natural basis. This approach was pursued in fRG studies [9][10][11][12][13][14][15][16] of multiband models with Fermi surface patching. In awkward bases, Equation (110) would be violated at points with band degeneracies away from the origin (or at other points of high symmetry), justifying the name we chose for those bases.…”

Section: Consequences Of the Existence Of A Natural Basismentioning

confidence: 99%

“…At present, there has been a series of fRG studies of multiband models working in the band picture for graphene systems [4][5][6][7][8], the pnictides [9][10][11][12][13][14] or other two-dimensional systems [15,16]. In some of those works, the point-group symmetries have been exploited already, however, without discussing the underlying formal structures.…”

Section: Introductionmentioning

confidence: 99%

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Interplay between Point-Group Symmetries and the Choice of the Bloch Basis in Multiband Models

2013

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Abstract:We analyze the point-group symmetries of generic multiband tight-binding models with respect to the transformation properties of the effective interactions. While the vertex functions in the orbital language may transform non-trivially under point-group operations, their point-group behavior in the band language can be simplified by choosing a suitable Bloch basis. We first give two analytically accessible examples. Then, we show that, for a large class of models, a natural Bloch basis exists, in which the vertex functions in the band language transform trivially under all point-group operations. As a consequence, the point-group symmetries can be used to reduce the computational effort in perturbative many-particle approaches, such as the functional renormalization group.

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Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals

Zhou,

Yang,

Zhang

et al. 2024

Advanced Materials

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We study the chemical rules for predicting and understanding topological states in stacked kagome and honeycomb lattices in both analytical and numerical ways. Starting with a minimal five‐band tight‐binding model, we sort out all the topological states into five groups, which are determined by the interlayer and intralayer hopping parameters. Combined with the model, we design an algorithm to obtain a series of experimentally synthesized topological semimetals with kagome and honeycomb layers, i.e., IAMX family (IA = Alkali metal element, M = Rare earth metal element, X = Carbon group element), in the inorganic crystal structure database. A follow‐up high‐throughput calculation shows that IAMX family materials are all nodal‐line semimetals and they will be Weyl semimetals after taking spin‐orbit coupling into consideration. To have further insights into the topology of the IAMX family, a detailed chemical rule analysis is carried out on the high‐throughput calculations, including the lattice constants of the structure, intralayer and interlayer couplings, bond strengths, electronegativity, and so on, which are consistent with our tight‐binding model. our study provides a way to discover and modulate topological properties in stacked kagome and honeycomb crystals and offers candidates for studying topology‐related properties like topological superconductors and axion insulators.

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Sublattice interference in the kagome Hubbard model

Cited by 207 publications

References 23 publications

Exotic magnetic orderings in the kagome Kondo-lattice model

Exotic magnetic orderings in the kagome Kondo-lattice model

Interplay between Point-Group Symmetries and the Choice of the Bloch Basis in Multiband Models

Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals

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