Spin-deformation coupling in two-dimensional polar materials

Abstract

The control of the spin degree of freedom is at the heart of spintronics, which can potentially be achieved by spin-orbit coupling or band topological effects. In this paper, we explore another potential controlled mechanism under debate: the spin-deformation coupling (SDC) - the coupling between intrinsic or extrinsic geometrical deformations and the spin degree of freedom. We focus on polar-deformed thin films or two-dimensional compounds, where the Rashba spin-orbit coupling (SOC) is considered as an $SU(2)$ non-Abelian gauge field. We demonstrate that the dynamics between surface and normal electronic degrees of freedom can be properly decoupled using the thin-layer approach by performing a suitable gauge transformation, as introduced in the context of many-body correlated systems. Our work leads to three significant results: (i) gauge invariance implies that the spin is uncoupled from the surface's extrinsic geometry, challenging the common consensus; (ii) the Rashba SOC on a curved surface can be included as an $SU(2)$ non-Abelian gauge field in curvilinear coordinates; and (iii) we identify a previously unnoticed scalar geometrical potential dependent on the Rashba SOC strength. This scalar potential, independent of spin, represents the residual effect remaining after decoupling the normal component of the non-Abelian gauge field. The outcomes of our work open novel pathways for exploring the manipulation of spin degrees of freedom through the use of the SDC.

arXiv comment15 pages, 2 figure

References in corpus (45)

• Spintronics: Fundamentals and applications
• Black phosphorus field-effect transistors
• New Perspectives for Rashba Spin-Orbit Coupling
• Large-gap quantum spin Hall insulators in tin films
• On Many-Body Localization for Quantum Spin Chains
• Recent Progress of the Computational 2D Materials Database (C2DB)
• Schrieffer-Wolff transformation for quantum many-body systems
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Deformation and flow of a two-dimensional foam under continuous shear
• Quantum mechanics on curved 2D systems with electric and magnetic fields
• Equilibrium spin currents: Non-Abelian gauge invariance and color diamagnetism in condensed matter
• SU(2)xU(1) unified theory for charge, orbit and spin currents
• Quantum Mechanics on Manifolds Embedded in Euclidean Space
• Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
• Geometric potential and transport in photonic topological crystals
• Photoelectron spin-polarization-control in the topological insulator Bi2Se3
• Quantum mechanics of a spin-orbit coupled electron constrained to a space curve
• The different shapes of spin textures as a journey through Brillouin zone chiral and polar symmetries
• Electronic materials with nanoscale curved geometries
• Edge states and topological insulating phases generated by curving a nanowire with Rashba spin-orbit coupling
• Measurement of Conduction and Valence Bands g-factors in a Transition Metal Dichalcogenide Monolayer
• A Complete Perturbative Expansion for Constrained Quantum Dynamics
• Designing Electron Spin Textures and Spin Interferometers by Shape Deformations
• Solving quantum impurity problems in and out of equilibrium with variational approach
• Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space
• The Rashba Scale: Emergence of Band Anti-Crossing as a Design Principle for Materials with Large Rashba coefficient
• Spin-polarization control driven by a Rashba-type effect breaking the mirror symmetry in two-dimensional dual topological insulators
• Tuning Pairing Amplitude and Spin-Triplet Texture by Curving Superconducting Nanostructures
• Zeeman-type spin splitting in non-magnetic three-dimensional compounds: Materials prediction and electrical control
• Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature
• Quantum mechanics of a constrained electrically charged particle in the presence of electric currents
• Unconventional spin texture in a non-centrosymmetric quantum spin Hall insulator
• Quantum transport in a curved one-dimensional quantum wire with spin-orbit interactions
• Pauli Equation on a Curved Surface and Rashba Splitting on a Corrugated Surface
• A variational approach for many-body systems at finite temperature
• Constrained Quantum Systems as an Adiabatic Problem
• Induced magnetic moment for a spinless charged particle in the thin-layer approach
• A topological quantum pump in serpentine-shaped semiconducting narrow channels
• Curvature control of the superconducting proximity effect in diffusive ferromagnetic nanowires
• Spin and charge transport in U-shaped one-dimensional channels with spin-orbit couplings
• High throughput inverse design and Bayesian optimization of functionalities: spin splitting in two-dimensional compounds
• Electron transport properties of graphene nanoribbons with Gaussian deformation
• Effective dynamics for a spin-1/2 particle constrained to a space curve in an electric and magnetic field
• Gauge Covariance and Spin Current Conservation in the Gauge Field Formulation of Systems with Spin-Orbit Coupling
• Remote Mesoscopic Signatures of Induced Magnetic Texture in Graphene