Intrinsic Thermal Hall Effect in Mott Insulators

Abstract

In light of recent experimental data indicating a substantial thermal Hall effect in square lattice antiferromagnetic Mott insulators, we investigate whether a simple Mott insulator can sustain a finite thermal Hall effect. We verify that the answer is "no" if one performs calculations within a spin-only low-energy effective spin model with non-interacting magnons. However, by performing determinant quantum Monte Carlo simulations, we show the single-band $t$-$t^{\prime }$-$U$ Hubbard model coupled to an orbital magnetic field does support a finite thermal Hall effect when $t^{\prime }\ne 0$ and $B\ne 0$ in the Mott insulating phase. We argue that the (carrier agnostic) necessary conditions for observing a finite thermal Hall effect are time-reversal and particle-hole symmetry breaking. By considering magnon-magnon scattering using a semi-classical Boltzmann analysis, we illustrate a physical mechanism by which finite transverse thermal conductivity may arise, consistent with our symmetry argument and numerical results. Our results contradict the conventional wisdom that square and triangular lattices with SU(2) symmetry do not support a finite thermal Hall effect and call for a critical re-examination of thermal Hall effect data in insulating magnets, as the magnon contribution should not be excluded a priori.

6+23 pages, 3+11 figures

References in corpus (38)

• Classification of topological quantum matter with symmetries
• Observation of the Magnon Hall Effect
• Theory of Thermal Hall Effect in Quantum Magnets
• Energy Magnetization and Thermal Hall Effect
• Berry Curvature and Phonon Hall Effect
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Phonons become chiral in the pseudogap phase of cuprates
• Topological Magnons in Kitaev Magnets at High Fields
• Strange metallicity in the doped Hubbard model
• Algorithms for optimized maximum entropy and diagnostic tools for analytic continuation
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Interaction-stabilized topological magnon insulator in ferromagnets
• Electro Thermal Transport Coefficients at Finite Frequencies
• Spin Thermal Hall Conductivity of a Kagomé Antiferromagnet
• Thermal Hall conductivity in the cuprate Mott insulators Nd${}_2$CuO${}_4$ and Sr${}_2$CuO${}_2$Cl${}_2$
• Analytical Continuation of Matrix-Valued Functions: Carathéodory Formalism
• Berry phase of phonons and thermal Hall effect in nonmagnetic insulators
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Thermal Hall effects in quantum magnets
• Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
• Chirality-driven Hall Transport Phenomena of Spins
• Depleted Kondo Lattices
• Drude weight in systems with open boundary conditions
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Charged Defects and Phonon Hall Effects in Ionic Crystals
• Resonant thermal Hall effect of phonons coupled to dynamical defects
• Maximum Entropy Analytic Continuation for Spectral Functions with Non-Positive Spectral Weight
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Large extrinsic phonon thermal Hall effect from resonant scattering
• Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Maximum entropy analytic continuation for frequency-dependent transport coefficients with non-positive spectral weight
• Phonon thermal Hall effect in Mott insulators via skew-scattering by the scalar spin chirality
• Magnon heat transport in a two-dimensional Mott insulator
• Thermal Hall Effect of Chiral Spin Fluctuations
• Numerical approaches for calculating the low-field dc Hall coefficient of the doped Hubbard model
• Particle-hole asymmetric ferromagnetism and spin textures in the triangular Hubbard-Hofstadter model

Cited by in corpus (1)

• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields