Exotic magnetic orderings in the kagome Kondo-lattice model

Barros, Kipton; Venderbos, Jörn W. F.; Chern, Gia-Wei; Batista, Cristian D.

doi:10.1103/physrevb.90.245119

Cited by 74 publications

(66 citation statements)

References 60 publications

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“…The kernel polynomial method (KPM) can provide stochastic estimates of the electronic free energy [45]. The gradient transformation of the KPM energy estimation procedure yields density matrix elements, as required by Gutzwiller, with computational cost that scales linearly with system size for both insulating and metallic systems [46,47]. Another future direction is generalizing the extended Lagrangian (XL) formalism [48,49] to the GQMD self-consistency equations.…”

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confidence: 99%

Mott Transition in a Metallic Liquid: Gutzwiller Molecular Dynamics Simulations

et al. 2017

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We present a formulation of quantum molecular dynamics that includes electron correlation effects via the Gutzwiller method. Our new scheme enables the study of the dynamical behavior of atoms and molecules with strong electron interactions. The Gutzwiller approach goes beyond the conventional mean-field treatment of the intra-atomic electron repulsion and captures crucial correlation effects such as band narrowing and electron localization. We use Gutzwiller quantum molecular dynamics to investigate the Mott transition in the liquid phase of a single-band metal and uncover intriguing structural and transport properties of the atoms.

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confidence: 99%

Mott Transition in a Metallic Liquid: Gutzwiller Molecular Dynamics Simulations

et al. 2017

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“…These two triangular and honeycomb triple-M spin density wave states are examples of noncoplanar spin order. In fact, these spin density waves, which we have derived from symmetry principles here, are nothing but the chiral spin density waves found both in itinerant classical magnets and mean-field Hubbard model calculations on the triangular [26,[41][42][43], honeycomb [27,29,44], and kagome lattices [30,35,36]. The chiral spin density wave was also found in a honeycomb Hubbard model study using advanced quantum many-body techniques [18,19,23].…”

Section: S-wave Triplet States: Spin Density Wavesmentioning

confidence: 76%

“…They are scalar orders in the sense that they can be viewed as total angular momentum J = 0 terms. The first originates from the set of charge density or s waves and corresponds to a full spin-rotation symmetry broken spin density wave state, the so-called chiral spin density wave [26,27,35,36], associated with a gapped mean-field spectrum. The mean-field ground state is a Chern insulator.…”

Section: Overview and Main Resultsmentioning

confidence: 99%

“…Apart from lattice magnets described by spin Hamiltonians, symmetric spin states are also relevant for materials described by itinerant carriers coupled to localized (classical) spins. For instance, magnetic states on the kagome lattice, stabilized by itinerant electron-mediated interactions at specific electron densities [35,36], were found to be the symmetric spin states. In general, the itinerant carrier density, tuned to commensurate doping, sets the magnetic modulation wave vectors.…”

Section: Triangularmentioning

confidence: 99%

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Multi-Qhexagonal spin density waves and dynamically generated spin-orbit coupling: Time-reversal invariant analog of the chiral spin density wave

Venderbos

2016

Phys. Rev. B

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We study hexagonal spin-channel ("triplet") density waves with commensurate M-point propagation vectors. We first show that the three Q = M components of the singlet charge density and charge-current density waves can be mapped to multicomponent Q = 0 nonzero angular momentum order in three dimensions (3D) with cubic crystal symmetry. This one-to-one correspondence is exploited to define a symmetry classification for triplet M-point density waves using the standard classification of spin-orbit coupled electronic liquid crystal phases of a cubic crystal. Through this classification we naturally identify a set of noncoplanar spin density and spin-current density waves: the chiral spin density wave and its time-reversal invariant analog. These can be thought of as 3D L = 2 and 4 spin-orbit coupled isotropic β-phase orders. In contrast, uniaxial spin density waves are shown to correspond to α phases. The noncoplanar triple-M spin-current density wave realizes a novel 2D semimetal state with three flavors of four-component spin-momentum locked Dirac cones, protected by a crystal symmetry akin to nonsymmorphic symmetry, and sits at the boundary between a trivial and topological insulator. In addition, we point out that a special class of classical spin states, defined as classical spin states respecting all lattice symmetries up to global spin rotation, are naturally obtained from the symmetry classification of electronic triplet density waves. These symmetric classical spin states are the classical long-range ordered limits of chiral spin liquids.

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“…Given the abundance of these non-coplanar incommensurate orders and the lack of attention given to such orders in previous studies 12,13,33 of the Kondo Lattice Model, we set about exploring their origin in further detail. Using LuttingerTisza and Fermi surface geometry arguments in Section III, we showed that the ordering wave-vectors of the spin configurations were the nesting wave-vectors of the Fermi surface (Fig.3).…”

Section: )(D)(also See Appendices B and D)mentioning

confidence: 99%

Phase diagram of the Kondo lattice model on the kagome lattice

2016

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We consider the potential for novel forms of magnetism arising from the subtle interplay between electrons and spins in the under-screened kagome Kondo lattice model. At weak coupling, we show that incommensurate non-coplanar multi-wave vector magnetic orders arise at nearly all fillings and that this results from Fermi surface effects that introduces competing interactions between the spins. At strong coupling, we find that such complex order survives near half filling despite the presence of ferromagnetism at all other fillings. We show this arises due to state selection among a massive degeneracy of states at infinite coupling. Finally, we show that at intermediate filling, only commensurate orders seem to survive. But these orders still include non-coplanar magnetism. So, the mere presence of both local moments and itinerant electrons enables complex orders to form unlike any currently observed in kagome materials.

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Exotic magnetic orderings in the kagome Kondo-lattice model

Cited by 74 publications

References 60 publications

Mott Transition in a Metallic Liquid: Gutzwiller Molecular Dynamics Simulations

Mott Transition in a Metallic Liquid: Gutzwiller Molecular Dynamics Simulations

Multi-Qhexagonal spin density waves and dynamically generated spin-orbit coupling: Time-reversal invariant analog of the chiral spin density wave

Phase diagram of the Kondo lattice model on the kagome lattice

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