Spin-filtering in a $p$-orbital helical atomic chain

Abstract

We theoretically analyze spin filtering in two-terminal systems, induced by the spin-orbit interaction (SOI), as a possible origin of the ``chirality-induced spin selectivity'' (CISS) effect observed experimentally in chiral molecules, such as DNA. Due to Bardarson's theorem, spin filtering cannot be realized in a molecule containing one orbital-channel. However, when two orbitals are involved, SOI can induce spin filtering in a molecule coupled to two terminals without braking time-reversal symmetry. In particular, we provide an example of a $4\times 4$ reflection matrix for a spinful electron passing through a molecule containing two orbital-channels, which complies with Bardarson's theorem and produces a finite spin conductance. As a microscopic toy model realizing a single strand of DNA, we consider a $p$-orbital helical atomic chain with intra-atomic SOI's and a strong crystalline field along the helix. This model exhibits two-orbital spin filtering: For various parameters preserving the helical symmetry, the model hosts spin asymmetric states carrying pairs of up and down spins propagating in opposite directions. The typical energy scale of the helical states is the product of the intra-atomic SOI and the curvature. The large value of this energy identifies our model as a likely candidate to explain the CISS in organic molecules.

6 pages, 3 figures

References in corpus (7)

• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Chirality Induced Spin Selectivity -- The Role of Electron Correlations
• A proof of the Kramers degeneracy of transmission eigenvalues from antisymmetry of the scattering matrix
• Spin selectivity through time-reversal symmetric helical junctions
• Reply to "Comment on 'Spin-dependent electron transmission model for chiral molecules in mesoscopic devices'"
• Spin-current induced mechanical torque in a chiral molecular junction
• Linear-response magnetoresistance effects in chiral systems

Cited by in corpus (5)

• Chirality-induced Phonon-Spin Conversion at an Interface
• Mind the Gap: From Resolving Theoretical Foundations of Chiral(ity)-Induced Spin Selectivity to Pioneering Implementations in Quantum Sensing
• Spin-orbit interactions, time-reversal symmetry, and spin selection
• Electronic and Spin States at Edges of Finite $p$-orbital Helical Atomic Chain
• Interatomic spin-orbit interaction in a $p$-orbital helical atomic chain