Orbital Hall effect in spin-3/2 hole-doped semiconductors and its implications for orbitronics

Abstract

State-of-the-art magnetic devices rely on faster, more efficient memory elements. A major recent advance is the discovery of orbital torques, which use the orbital angular momentum of Bloch electrons to switch the magnetisation of an adjacent ferromagnet, motivating the search for orbitronic materials with strong orbital responses, exemplified by the orbital Hall effect (OHE). Here we propose $p$-type semiconductors, with a focus on Ge, as orbitronic platforms. We demonstrate that bulk holes in five common semiconductors exhibit a large orbital Hall conductivity of order $10^3(\hslash /e){\Omega }^{-1}$cm${}^{-1}$, exceeding the spin-Hall effect by 2-3 orders of magnitude. The calculation is performed within the framework of the modern theory of orbital magnetisation, while incorporating recently-discovered quantum corrections to the OHE. Moreover, we argue that bulk $p$-type Ge and Si serve as ideal testbeds for the orbital torque resulting from a charge current, since the spin- and orbital-Edelstein effects are forbidden by symmetry. Our results provide a blueprint for producing strong orbital torques in magnetic devices with $p$-type semiconductors, guiding experimental work in this direction.

Commun Phys (2026)

References in corpus (83)

• Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
• Spin Transfer Torque Generated by the Topological Insulator Bi_2Se_3
• Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and 5d- Transition Metals
• Intrinsic Spin and Orbital Hall Effects from Orbital Texture
• Orbital magnetization in periodic insulators
• The germanium quantum information route
• Observation of the orbital Hall effect in a light metal Ti
• Giant Orbital Hall Effect in Transition Metals: Origin of Large Spin and Anomalous Hall Effects
• Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
• Harnessing non-local orbital-to-spin conversion of interfacial orbital currents for efficient spin-orbit torques
• Gigantic intrinsic orbital Hall effects in weakly spin-orbit coupled metals
• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Fast two-qubit logic with holes in germanium
• Orbitronics: the Intrinsic Orbital Hall Effect in p-Doped Silicon
• Orbitronics: Orbital Currents in Solids
• Orbital Torque: Torque Generation by Orbital Current Injection
• Observation of long-range orbital transport and giant orbital torque
• Giant orbital Hall effect and orbital-to-spin conversion in 3d, 5d, and 4f metallic heterostructures
• Observation of the Orbital Rashba-Edelstein Magnetoresistance
• A single-hole spin qubit
• Magneto-Optical Detection of the Orbital Hall Effect in Chromium
• Current-nonlinear Hall effect and spin-orbit torque magnetization switching in a magnetic topological insulator
• Chiral orbital-angular-momentum in the surface states of Bi2Se3
• Theory of Current-Induced Angular Momentum Transfer Dynamics in Spin-Orbit Coupled Systems
• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Theory of orbital magnetoelectric response
• Disentangling orbital and valley Hall effects in bilayers of transition metal dichalcogenides
• Orbital Hall effect as an alternative to valley Hall effect in gapped graphene
• Non-trivial charge-to-spin conversion in ferromagnetic metal/Cu/Al2O3 by orbital transport
• Anomalous Hall effect in paramagnetic two dimensional systems
• Orbital Edelstein effect as a condensed-matter analog of solenoid
• Detecting Chiral Orbital Angular Momentum by Circular Dichroism ARPES
• Theory of Orbital Magnetization in Solids
• Orbitally Dominated Rashba-Edelstein Effect in Noncentrosymmetric Antiferromagnets
• Intrinsic orbital moment and prediction of a large orbital Hall effect in the 2D transition metal dichalcogenides
• Detection of long-range orbital-Hall torques
• Role of Berry phase theory for describing orbital magnetism: From magnetic heterostructures to topological orbital ferromagnets
• Orbital Hall Insulating Phase in Transition Metal Dichalcogenide Monolayers
• Functional Keldysh Theory of Spin Torques
• Spin and orbital Edelstein effect in an oxide two-dimensional electron gas: theory and application to AlO${}_x$/SrTiO${}_3$
• Inter-band Coherence Response to Electric Fields in Crystals
• Spin torque and force due to current for general spin textures
• Orbital Hanle Magnetoresistance in a 3d Transition Metal
• Connecting Higher-Order Topology with the Orbital Hall Effect in Monolayers of Transition Metal Dichalcogenides
• Orbital Hall effect in bilayer transition metal dichalcogenides: From the intra-atomic approximation to the Bloch states orbital magnetic moment approach
• Recent advances in hole-spin qubits
• Phenomenology of Current-Induced Spin-Orbit Torques
• Two-dimensional orbital Hall insulators
• Spin-Orbit Torques in Two-Dimensional Rashba Ferromagnets
• First-principles calculation of spin-orbit torque in a Co/Pt bilayer
• Thermoelectric Generation of Orbital Magnetization in Metals
• Germanium wafers for strained quantum wells with low disorder
• Semiclassical equations of motion for disordered conductors: extrinsic interband velocity, corrected collision integral and spin-orbit torques
• Dominance of extrinsic scattering mechanisms in the orbital Hall effect: graphene, transition metal dichalcogenides and topological antiferromagnets
• Spin precession and alternating spin polarization in spin-3/2 hole systems
• Spin-Motive Forces and Current-Induced Torques in Ferromagnets
• Orbital Hall physics in two-dimensional Dirac materials
• Strong influence of spin-orbit coupling on magnetotransport in two-dimensional hole systems
• Current-induced orbital magnetization in systems without inversion symmetry
• Extrinsic Orbital Hall Effect: Orbital Skew Scattering and Crossover Between Diffusive and Intrinsic Orbital Transport
• X-ray circular dichroism versus orbital magnetization
• Orbital Hall effect in mesoscopic devices
• Negative orbital Hall effect in Germanium
• Microscopic study of orbital textures
• Exploiting epitaxial strained germanium for scaling low noise spin qubits at the micron-scale
• Topological nature of the proper spin current and the spin-Hall torque
• Non-conservation of the valley density and its implications for the observation of the valley Hall effect
• Quantum theory of the Intrinsic Orbital Magnetoelectric Effect in itinerant electron systems at finite temperatures
• Quantum Kinetic Anatomy of Electron Angular Momenta Edge Accumulation
• Kinetic magnetoelectric effect in topological insulators
• Orbital Hall Responses in Disordered Topological Materials
• Quantum correction to the orbital Hall effect
• Intrinsic torque on the orbital angular momentum in an electric field
• Spin-Hall effect in topological materials: Evaluating the proper spin current in systems with arbitrary degeneracies
• Detection of the Orbital Hall Effect by the Orbital-Spin Conversion
• Orbital Edelstein effect of electronic itinerant orbital motion at edges
• Giant orbital Hall effect due to the bulk states of 3D topological insulators
• Theory of spin and orbital charge conversion at the surface states of Bi_{1-x}Sb_x topological insulator
• Orbital magnetization from interface reflections in a conductor with charge current
• Quantum geometry and linear orbital response in arbitrary $SU(2)$ representation
• Universal intrinsic orbital dynamics from Berry curvature in electronic two-band systems
• Orbital splitter effect and spatial resolution of current-induced orbital accumulation
• Magnetic moment of electrons in systems with spin-orbit coupling