Spin-orbit coupling and proximity effects in metallic carbon nanotubes

Abstract

We study the spin-orbit coupling in metallic carbon nanotubes (CNTs) within the many-body TomonagaLuttinger liquid framework. For a well-defined subclass of metallic CNTs, that contains both achiral zigzag as well as a subset of chiral tubes, an effective low-energy field theory description is derived. We aim to describe systems at finite dopings, but close to the charge neutrality point (commensurability). A new regime is identified where the spin-orbit coupling leads to an inverted hierarchy of minigaps of bosonic modes. We then add a proximity coupling to a superconducting (SC) substrate and show that the only order parameter that is supported within the spin-orbit induced phase is a topologically trivial s-SC.

Superconducting monolayer deposited on substrate: Effects of the spin-orbit coupling induced by proximity effects

“…The presented idea of the induced SO coupling by proximity effects is realizable experimentally, e.g. in the form of Bi 2 Te 3 /Fe 1+y Te [48], WS 2 /graphene [49], or Au/graphene [50] heterostructures, graphene at antiferromagnetic substrate [51], and carbon nanotubes coupled to a superconducting substrate [52]. In these systems the proximity effects are crucial for the occurrence of the SO coupling.…”

Multi-orbital physics in lithium-molybdenum purple-bronze: going beyond paradigm

“…where a functional F [] is a linear combination whose precise form encodes the spin/chain dependence of V P [41].…”