Stability of the Spontaneous Quantum Hall State in the Triangular Kondo-Lattice Model

2010/09/15 by Yasuyuki Kato, Ivar Martin, Cristian D. Batista +1 · 7 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.105.266405

published as Phys. Rev. Lett. 105, 266405 (2010)

arxiv created 2010/09/15 · openalex publication_date 2010/12/27 · arxiv updated 2011/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the behavior of the quarter-filled Kondo-lattice model on a triangular lattice by combining a zero-temperature variational approach and finite-temperature Monte Carlo simulations. For intermediate coupling between itinerant electrons and classical moments S(j), we find a thermodynamic phase transition into an exotic spin ordering with uniform scalar spin chirality and (S(j))=0. The state exhibits a spontaneous quantum Hall effect. We also study how its properties are affected by the application of an external magnetic field.

Citations

• Semiclassical theories of the anomalous Hall effect
• Twelve sublattice ordered phase in theJ1−J2model on the kagomé lattice
• Quantal phase factors accompanying adiabatic changes
• Berry phase effects on electronic properties

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• Noncollinear magnetic ordering in the Shastry-Sutherland Kondo lattice model: Insulating regime and the role of Dzyaloshinskii-Moriya interaction
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• Nature of an intermediate non-Fermi liquid state in Ge-substituted YbRh<mml:mrow/>2Si<mml:mrow/>2: Fermionized skyrmions, Lifshitz transition, skyrmion liquid, and Gruneisen ratio
• Exotic magnetic orderings in the kagome Kondo-lattice model
• Ground-state phase diagram of the Kondo lattice model on triangular-to-kagome lattices
• Noncoplanar multiple-Q spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Antiferromagnetic chiral spin density wave and strain-induced Chern insulator in the square lattice Hubbard model with frustration

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