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Register a new userNon-orthogonal Spin-Momentum Locking
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Spin-momentum locking is a unique feature of spin-orbit coupled materials and a key to their promise of applications in spintronics and quantum computation. Much of the existing work has been focused on an orthogonal locking between the directions of spin and momentum vectors in the context of both topological and non-topological materials. Mechanisms responsible for non-orthogonal spin-momentum locking (NOSML) have drawn little attention, although an NOSML effect has been reported on the topological surface of $alpha$-$Sn$. Here, we demonstrate how spin-orbit scattering from non-magnetic impurities can produce the NOSML state. The parameter describing spin-orbit coupling strength in our analysis of the NOMSL could be extracted directly from the spin-resolved angle-resolved photoemission (S-ARPES) spectra. Our formalism is applicable to all spin-orbit coupled systems and not limited only to topological states. An understanding of NOSML effects bears on spin-orbit dependent phenomena more generally, including issues of spin-to-charge conversion and the interpretation of quasiparticle interference (QPI) patterns and scanning-tunneling spectra (STS) in materials.
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The momentum and spin of charge carriers in the topological insulators are constrained to be perpendicular to each other due to the strong spin-orbit coupling. We have investigated this unique spin-momentum locking property in Sb2Te3 topological insulator nanowires by injecting spin-polarized electrons through magnetic tunnel junction electrodes. Non-local voltage measurements exhibit a symmetry with respect to the magnetic field applied perpendicular to the nanowire channel, which is remarkably different from that of a non-local measurement in a channel that lacks spin-momentum locking. In stark contrast to conventional non-local spin valves, simultaneous reversal of magnetic moments of all magnetic contacts to the Sb2Te3 nanowire alters the non-local voltage. This unusual symmetry is a clear signature of the spin-momentum locking in the Sb2Te3 nanowire surface states.
We investigate the effects of spin-momentum locking on the interference and diffraction patterns due to a double- or single-slit in an electronic emph{Gedankenexperiment}. We show that the inclusion of the spin-degree-of-freedom, when coupled to the motion direction of the carrier -- a typical situation that occurs in systems with spin-orbit interaction -- leads to a modification of the interference and diffraction patterns that depend on the geometrical parameters of the system.
Three-dimensional (3D) topological insulators (TIs) are known to carry 2D Dirac-like topological surface states in which spin-momentum locking prohibits backscattering. When thinned down to a few nanometers, the hybridization between the topological surface states at the top and bottom surfaces results in a topological quantum phase transition, which can lead to the emergence of a quantum spin Hall phase. Here, we study the thickness-dependent transport properties across the quantum phase transition on the example of (Bi$_{0.16}$Sb$_{0.84}$)$_2$Te$_3$ films, with a four-tip scanning tunnelling microscope. Our findings reveal an exponential drop of the conductivity below the critical thickness. The steepness of this drop indicates the presence of spin-conserving backscattering between the top and bottom surface states, effectively lifting the spin-momentum locking and resulting in the opening of a gap at the Dirac point. Our experiments provide crucial steps towards the detection of quantum spin Hall states in transport measurements.
Significant insights into non-Abelian quantum Hall states were obtained from studying special multi-particle interaction Hamiltonians, whose unique ground states are the Moore-Read and Read-Rezayi states for the case of spinless electrons. We generalize this approach to include the electronic spin-1/2 degree of freedom. We demonstrate that in the absence of Zeeman splitting the ground states of such Hamiltonians have large degeneracies and very rich spin structures. The spin structure of the ground states and low-energy excitations can be understood based on an emergent SU(3) symmetry for the case corresponding to the Moore-Read state. These states with different spin quantum numbers represent non-Abelian quantum Hall states with different magnetizations, whose quasi-hole properties are likely to be similar to those of their spin polarized counterparts.
Coupling degrees of freedom of distinct nature plays a critical role in numerous physical phenomena. The recent emergence of layered materials provides a laboratory for studying the interplay between internal quantum degrees of freedom of electrons. Here, we report experimental signatures of new coupling phenomena connecting real spin with layer pseudospins in bilayer WSe2. In polarization-resolved photoluminescence measurements, we observe large spin orientation of neutral and charged excitons generated by both circularly and linearly polarized light, with a splitting of the trion spectrum into a doublet at large vertical electrical field. These observations can be explained by locking of spin and layer pseudospin in a given valley. Because up and down spin states are localized in opposite layers, spin relaxation is substantially suppressed, while the doublet emerges as a manifestation of electrically induced spin splitting resulting from the interlayer bias. The observed distinctive behavior of the trion doublet under circularly and linearly polarized light excitation further provides spectroscopic evidence of interlayer and intralayer trion species, a promising step toward optical manipulation in van der Waals heterostructures through the control of interlayer excitons.
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