Weak localization of magnons in a disordered two-dimensional antiferromagnet

Abstract

We propose the weak localization of magnons in a disordered two-dimensional antiferromagnet. We derive the longitudinal thermal conductivity ${\kappa }_{xx}$ for magnons of a disordered Heisenberg antiferromagnet in the linear-response theory with the linear-spin-wave approximation. We show that the back scattering of magnons is enhanced critically by the particle-particle-type multiple impurity scattering. This back scattering causes a logarithmic suppression of ${\kappa }_{xx}$ with the length scale in two dimensions. We also argue a possible effect of inelastic scattering on the temperature dependence of ${\kappa }_{xx}$. This weak localization is useful to control turning the magnon thermal current on and off.

arXiv comment5 pages, 2 figures; published version

References in corpus (8)

• Antiferromagnetic spintronics
• Spin Caloritronics
• Spin Seebeck insulator
• Thermal vector potential theory of transport induced by temperature gradient
• Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
• Spin-wave localization in disordered magnets
• Fermi surface versus Fermi sea contributions to intrinsic anomalous and spin Hall effects of multiorbital metals in the presence of Coulomb interaction and spin-Coulomb drag
• Microscopic theory on charge transports of a correlated multiorbital system

Cited by in corpus (6)

• Magnonic thermal transport using the quantum Boltzmann equation
• Interplay of Wave Localization and Turbulence in Spin Seebeck Effect
• Inplane anisotropy of longitudinal thermal conductivities and weak localization of magnons in a disordered spiral magnet
• Scattering theory of transport through disordered magnets
• Interband magnon drag in ferrimagnetic insulators
• Momentum Signatures of Site Percolation in Disordered 2D Ferromagnets