Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model

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 ${\mathbf{S}}_j$, we find a thermodynamic phase transition into an exotic spin ordering with uniform scalar spin chirality and $<{\mathbf{S}}_j>=0$. The state exhibits spontaneous quantum Hall effect. We also study how its properties are affected by application of an external magnetic field.

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• Berry Phase Effects on Electronic Properties
• Anomalous Hall effect
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Semiclassical theories of the anomalous Hall effect
• Electronic Orbital Currents and Polarization in Mott Insulators
• Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice

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