Helical liquid in carbon nanotubes wrapped with DNA molecules

Abstract

The measured electric resistance of carbon nanotubes wrapped with DNA molecules depends strongly on the spin of the injected electrons. Motivated by these experiments, we study the effect of helix-shaped potentials on the electronic spectrum of carbon nanotubes. We find that in combination with the curvature-induced spin-orbit coupling inherent to nanotubes, such a perturbation opens helicity-dependent gaps. Within these partial gaps, left-moving electrons carry a fixed spin-projection that is reversed for right-moving electrons, and the probability of electrons to transfer through the nanotube correlates with their helicity. We explain the origin of this effect and show that it can alternatively be induced by twisting the nanotube. Our findings suggest that carbon nanotubes hold great potential for implementing spin filters and may form an ideal platform to study the physical properties of one-dimensional helical liquids.

arXiv comment9 pages, 9 figures

References in corpus (25)

• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Quantum transport in carbon nanotubes
• Spin-Selective Transport of Electron in DNA Double Helix
• Scaling of Resistance and Electron Mean Free Path of Single-Walled Carbon Nanotubes
• Spin selective transport through helical molecular systems
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
• Spin-dependent transport through a chiral molecule in the presence of spin-orbit interaction and non-unitary effects
• Large spin-orbit coupling in carbon nanotubes
• Chiral molecular films as electron polarizers and polarization modulators
• Continuum model for chiral induced spin selectivity in helical molecules
• Nanospintronics with carbon nanotubes
• Curvature-enhanced spin-orbit coupling in a carbon nanotube
• Carbon nanotubes in electric and magnetic fields
• Spin Sensitive Transmission Through Helical Potentials
• Spin-orbit coupling and ESR theory for carbon nanotubes
• Helical modes in carbon nanotubes generated by strong electric fields
• Carbon nanotubes for coherent spintronic devices
• Helicoidal Fields and Spin Polarized Currents in CNT-DNA Hybrids
• Transport in helical Luttinger Liquid with Kondo impurities
• Spin Filtering with Poly-T Wrapped Single Wall Carbon Nanotubes
• Carbon Nanotubes in Helically Modulated Potentials
• Simple spin-orbit based devices for electron spin polarization