Spin transport in Heisenberg antiferromagnets

Abstract

We analyze spin transport in insulating antiferromagnets described by the XXZ Heisenberg model in two and three dimensions. Spin currents can be generated by a magnetic-field gradient or, in systems with spin-orbit coupling, perpendicular to a time-dependent electric field. The Kubo formula for the longitudinal spin conductivity is derived analogously to the Kubo formula for the optical conductivity of electronic systems. The spin conductivity is calculated within interacting spin-wave theory. In the Ising regime, the XXZ magnet is a spin insulator. For the isotropic Heisenberg model, the dimensionality of the system plays a crucial role: In d=3 the regular part of the spin conductivity vanishes linearly in the zero frequency limit, whereas in d=2 it approaches a finite zero frequency value.

arXiv comment9 pages, 5 figures

References in corpus (20)

• Spintronics: Fundamentals and applications
• Spin current and magneto-electric effect in non-collinear magnets
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• On A Proper Definition of Spin Current
• Polarization and localization in insulators: generating function approach
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• Magnetization transport and quantized spin conductance
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
• Transport in Almost Integrable Models: Perturbed Heisenberg Chains
• On the finite temperature Drude weight of the anisotropic Heisenberg chain
• Dissipationless Spin Transport in Thin Film Ferromagnets
• Low-temperature transport in Heisenberg chains
• Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension
• Intersections forms and the geometry of lattice Chern-Simons theory
• Diverging magnetothermal response in the one-dimensional Heisenberg chain
• Conductivity of quantum-spin chains: A Quantum Monte Carlo approach
• What are spin currents in Heisenberg magnets?
• Spin Transport Properties in Heisenberg Antiferromagnetic Spin Chains: Spin Current induced by Twisted Boundary Magnetic Fields

Cited by in corpus (17)

• Theory of conserved spin current and its application to two dimensional hole gas
• Spin injection and spin transport in paramagnetic insulators
• Control of heat transport in quantum spin systems
• Spin transport across antiferromagnets induced by the spin Seebeck effect
• Spin transport in the Neel and collinear antiferromagnetic phase of the two dimensional spatial and spin anisotropic Heisenberg model on a square lattice
• Simulating spin chains using a superconducting circuit: gauge invariance, superadiabatic transport, and broken time-reversal symmetry
• Effects of magnetic anisotropy on spin and thermal transports in classical antiferromagnets on the square lattice
• Spin Conductivity in Two-Dimensional Non-Collinear Antiferromagnets
• Spin current as a probe of the ${\mathbb{Z}}_2$-vortex topological transition in the classical Heisenberg antiferromagnet on the triangular lattice
• Many-body energy invariant for $T$-linear resistivity
• Quantum walk versus classical wave: Distinguishing ground states of quantum magnets by spacetime dynamics
• Spin diffusion and spin conductivity in the 2d Hubbard model
• Spin and thermal transport and critical phenomena in three-dimensional antiferromagnets
• Criticality of the low-frequency conductivity for the bilayer quantum Heisenberg model
• Quantum simulation of spin-1/2 XYZ model using solid-state spin centers
• Information conduction and convection in noiseless Vicsek flocks
• Longitudinal magnon transport properties in the easy-axis XXZ Heisenberg ferromagnet on the face-centered cubic lattice