Dephasing of spin and charge interference in helical Luttinger liquids

Abstract

We consider a four-terminal Aharonov-Bohm interference setup formed out of two edges of a quantum spin Hall insulator, supporting helical Luttinger liquids (HLLs). We show that the temperature and bias dependence of the interference oscillations are linked to the amount of spin flips in tunneling between two HLLs which is a unique signature of a HLL. We predict that spin dephasing depends on the electron-electron (e-e) interaction but differently from the charge dephasing due to distinct dominant tunneling excitations. In contrast, in a spinful Luttinger liquid with SU(2) invariance, uncharged spin excitations can carry spin current without dephasing in spite of the presence of e-e interactions.

9 pages, 4 figures

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• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• Effects of disorder on electron tunneling through helical edge states
• Interaction effects in non-equilibrium transport properties of a four-terminal topological corner junction
• Localized states coupled to a network of chiral modes in minimally twisted bilayer graphene
• Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state
• Tunneling between helical Majorana modes and helical Luttinger liquids
• Effects of spin-orbit coupling in a valley chiral kagomé network
• Network model and four-terminal transport in minimally twisted bilayer graphene