Classical magnetic vortex liquid and large thermal Hall conductivity in frustrated magnets with bond-dependent interactions

Author:

Chern Li ErnORCID,Buessen Finn LasseORCID,Kim Yong Baek

Abstract

AbstractRecently, the observation of large thermal Hall conductivities in correlated insulators with no apparent broken symmetry has generated immense interest and debates on the underlying ground states. Here, considering frustrated magnets with bond-dependent interactions, which are realized in the so-called Kitaev materials, we theoretically demonstrate that a large thermal Hall conductivity can originate from a classical ground state without any magnetic order. We discover a liquid state of magnetic vortices, which are inhomogeneous spin textures embedded in the background of polarized spins, under out-of-plane magnetic fields. In the classical regime, different configurations of vortices form an effectively degenerate manifold. We study the static and dynamical properties of the magnetic vortex liquid state at zero and finite temperatures. In particular, we show that the spin excitation spectrum resembles a continuum of nearly flat Chern bands, which ultimately leads to a large thermal Hall conductivity. Possible connections to experiments are discussed.

Funder

Ontario Graduate Scholarship

Killam Research Fellowship Natural Sciences and Engineering Research Council of Canada Center for Quantum Materials, University of Toronto

Publisher

Springer Science and Business Media LLC

Subject

Condensed Matter Physics,Electronic, Optical and Magnetic Materials

Reference79 articles.

1. Kasahara, Y. et al. Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid. Nature 559, 227–231 (2018).

2. Yokoi, T. et al. Half-integer quantized anomalous thermal Hall effect in the Kitaev material α-RuCl3. Preprint at https://arxiv.org/abs/2001.01899 (2020).

3. Grissonnanche, G. et al. Giant thermal hall conductivity in the pseudogap phase of cuprate superconductors. Nature 571, 376–380 (2019).

4. Kitaev, A. Anyons in an exactly solved model and beyond. Ann. Phys. 321, 2–111 (2006).

5. Vinkler-Aviv, Y. & Rosch, A. Approximately quantized thermal Hall effect of chiral liquids coupled to phonons. Phys. Rev. X 8, 031032 (2018).

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