Low-energy properties of fractional helical Luttinger liquids

Abstract

We investigate the low-energy properties of (quasi) helical and fractional helical Luttinger liquids. In particular, we calculate the Drude peak of the optical conductivity, the density of states, as well as charge transport properties of the interacting system with and without attached Fermi liquid leads at small and large (compared to the gap) frequencies. For fractional wires, we find that the low energy tunneling density of states vanishes. The conductance of a fractional helical Luttinger liquid is non-integer. It is independent of the Luttinger parameters in the wire, despite the intricate mixing of charge and spin degrees of freedom, and only depends on the relative locking of charge and spin degrees of freedom.

9 pages, 4 figures. Final version

References in corpus (7)

• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Cooper-Pair Injection into Quantum Spin Hall Insulators
• Finite-temperature conductance of weakly interacting quantum wires with Rashba spin-orbit coupling
• Magnetic-field switchable metal-insulator transitions in a quasi-helical conductor

Cited by in corpus (24)

• Non-Abelian parafermions in time-reversal invariant interacting helical systems
• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Chiral Spin Liquids in Arrays of Spin Chains
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Chiral currents in one-dimensional fractional quantum Hall states
• Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
• Helical Liquids in Semiconductors
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
• Shot-Noise in Fractional Wires: a Universal Fano-Factor Different than the Tunneling Charge
• Missing Shapiro steps and the $8\pi$-periodic Josephson effect in interacting helical electron systems
• Renormalization of anticrossings in interacting quantum wires with Rashba and Dresselhaus spin-orbit couplings
• Conductance of fractional Luttinger liquids at finite temperatures
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot
• Clock model and parafermions in Rashba nanowires
• Finite-temperature conductance of strongly interacting quantum wire with a nuclear spin order
• Structure factor of interacting one-dimensional helical systems
• Universal conductance dips and fractional excitations in a two-subband quantum wire
• Dynamics of impurity in the environment of Dirac fermions
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Kinetic processes in Fermi-Luttinger liquids
• Fractional spin excitations and conductance in the spiral staircase Heisenberg ladder