Orbital Hall effect in transition metals from first-principles scattering calculations

Abstract

We use first-principles scattering calculations based upon wave-function matching and implemented with a tight-binding MTO basis to evaluate the orbital Hall conductivity ${\sigma }_{\mathrm{oH}}$ for Ti, V, Cr, Cu and Pt metals with temperature-induced lattice disorder. Only interatomic fluxes of orbital angular momentum are included in these estimates; intraatomic fluxes which do not contribute to the transfer of angular momentum are explicitly excluded. The resistivity and orbital Hall angle are both found to be linear in temperature so ${\sigma }_{\mathrm{oH}}$ is at most weakly temperature dependent. The value of ${\sigma }_{\mathrm{oH}}$ we obtain for bulk Cr is $\approx 2\times 10^3(\hslash /e)(\Omega \mathrm{cm}{)}^{-1}$ which is substantially lower than previously obtained theoretical results but agrees well with experiment. In units of $10^3(\hslash /e)(\Omega \mathrm{cm}{)}^{-1}$, the values obtained for Ti, V and Pt are $5$, $6$ and $7$, respectively.

References in corpus (42)

• Spin Hall effect
• Room Temperature Reversible Spin Hall Effect
• Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and 5d- Transition Metals
• Intrinsic spin Hall effect in platinum metal
• Intrinsic Spin and Orbital Hall Effects from Orbital Texture
• Orbital magnetization in periodic insulators
• On A Proper Definition of Spin Current
• Giant Orbital Hall Effect in Transition Metals: Origin of Large Spin and Anomalous Hall Effects
• Gigantic intrinsic orbital Hall effects in weakly spin-orbit coupled metals
• Orbitronics: the Intrinsic Orbital Hall Effect in p-Doped Silicon
• Orbital Torque: Torque Generation by Orbital Current Injection
• Giant room temperature interface spin Hall and inverse spin Hall effects
• Symmetry-imposed shape of linear response tensors
• Conductance calculations for quantum wires and interfaces: mode matching and Green functions
• Giant orbital Hall effect and orbital-to-spin conversion in 3d, 5d, and 4f metallic heterostructures
• Magneto-Optical Detection of the Spin Hall Effect in Pt and W Thin Films
• Theory of Current-Induced Angular Momentum Transfer Dynamics in Spin-Orbit Coupled Systems
• Disentangling orbital and valley Hall effects in bilayers of transition metal dichalcogenides
• Questaal: a package of electronic structure methods based on the linear muffin-tin orbital technique
• Orbital Hall effect as an alternative to valley Hall effect in gapped graphene
• First-principles scattering matrices for spin-transport
• Intrinsic orbital moment and prediction of a large orbital Hall effect in the 2D transition metal dichalcogenides
• Intrinsic orbital and spin Hall effects in monolayer transition metal dichalcogenides
• Unconventional spin Hall effects in nonmagnetic solids
• Disorder Dependence of Interface Spin Memory Loss
• First-principles calculations of magnetization relaxation in pure Fe, Co, and Ni with frozen thermal lattice disorder
• Direct Method for Calculating Temperature-Dependent Transport Properties
• Orbital Hall effect in bilayer transition metal dichalcogenides: From the intra-atomic approximation to the Bloch states orbital magnetic moment approach
• Calculating the transport properties of magnetic materials from first-principles including thermal and alloy disorder, non-collinearity and spin-orbit coupling
• Theory of conserved spin current and its application to two dimensional hole gas
• Orbital relaxation length from first-principles scattering calculations
• Calculating spin transport properties from first principles: spin currents
• Spin-flip diffusion length in 5d transition metal elements: a first-principles benchmark
• Spin and orbital transport in rare earth dichalcogenides: The case of EuS${}_2$
• Temperature dependence of side-jump spin Hall conductivity
• A new approach to transport coefficients in the quantum spin Hall effect
• A comprehensive study of the velocity, momentum and position matrix elements for Bloch states using a local orbital basis
• Calculating the spin memory loss at Cu$|$metal interfaces from first principles
• Spin transport at finite temperatures: A first-principles study for ferromagnetic$|$nonmagnetic interfaces
• Fully resolved currents from quantum transport calculations
• Spin Hall Effect in a Thin Pt Film
• Calculating interface transport parameters at finite temperatures: Nonmagnetic interfaces

Cited by in corpus (3)

• Theoretical study of orbital torque: Dependence on ferromagnet species and nonmagnetic layer thickness
• Injection of orbital angular momentum into transition metals from first-principles
• Orbital Hall effect from orbital magnetic moments of Bloch states: the role of a new correction term