Chiral phase transition and thermal Hall effect in an anisotropic spin model on the kagome lattice

Abstract

We present a study of the thermal Hall effect in the extended Heisenberg model with $XXZ$ anisotropy in the kagome lattice. This model has the particularity that, in the classical case, and for a broad region in parameter space, an external magnetic field induces a chiral symmetry breaking: the ground state is a doubly degenerate $q=0$ order with either positive or negative net chirality. Here, we focus on the effect of this chiral phase transition in the thermal Hall conductivity using Linear-Spin-Waves theory. We explore the topology and calculate the Chern numbers of the magnonic bands, obtaining a variety of topological phase transitions. We also compute the magnonic effect to the critical temperature associated with the chiral phase transition ($T_c^{SW}$). Our main result is that, the thermal Hall conductivity, which is null for $T>T_c^{SW}$, becomes non-zero as a consequence of the spontaneous chiral symmetry breaking at low temperatures. Therefore, we present a simple model where it is possible to "switch" on/off the thermal transport properties introducing a magnetic field and heating or cooling the system.

arXiv comment9 pages, 6 figures, Accepted for publication in Phys. Rev. B

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Cited by in corpus (7)

• Topological Phases in Magnonics
• Topological Phase Transitions of Dirac Magnons in Honeycomb Ferromagnets
• Thermal Hall responses in frustrated honeycomb spin systems
• Robustness of topological magnons in disordered arrays of skyrmions
• Topological Aspects of Antiferromagnets
• Topological magnons in a non-coplanar magnetic order on the triangular lattice
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets