Charge-spin duality in non-equilibrium transport of helical liquids

Abstract

Non-equilibrium transport properties of charge and spin sector of two edges of a quantum spin Hall insulator are investigated theoretically in a four-terminal configuration. A simple duality relation between charge and spin sector is found for two helical Tomonaga Luttinger liquids (hTTLs) connected to non-interacting electron reservoirs. If the hTLLs on opposite edges are coupled locally or non-locally, the mixing between them yields interesting physics where spin information can be easily detected by a charge measurement and vice versa. Particularly, we show how a pure spin density in the absence of charge current can be generated in a setup that contains two hTLL and one spinful Tomonaga Luttinger liquid in between.

12 pages and 3 figures

References in corpus (12)

• Topological Insulators
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• The quantum spin Hall effect and topological insulators
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Current induced electron spin polarization in strained semiconductors
• Spin-charge separation and localization in one-dimension
• Corner Junction as a Probe of Helical Edge States
• Tunneling between edge states in a quantum spin Hall system
• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• Competing effects of interactions and spin-orbit coupling in a quantum wire
• Temperature dependence of Coulomb drag between finite-length quantum wires

Cited by in corpus (43)

• Phonon induced backscattering in helical edge states
• Switching spin and charge between edge states in topological insulator constrictions
• Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
• Spin-helical transport in normal and superconducting topological insulators
• Interacting topological edge channels
• Atomically Thin Quantum Spin Hall Insulators
• Tunneling between helical edge states through extended contacts
• Current Correlations in Quantum Spin Hall Insulators
• Electrically Controlled Pumping of Spin Currents in Topological Insulators
• Electrical switching and interferometry of massive Dirac particles in topological insulators constrictions
• Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
• Devices with electrically tunable topological insulating phases
• Tunable quantum spin Hall effect in double quantum wells
• Spectral properties of Luttinger liquids: A comparative analysis of regular, helical, and spiral Luttinger liquids
• Generating and controlling spin-polarized currents induced by a quantum spin Hall antidot
• Coulomb blockade microscopy of spin density oscillations and fractional charge in quantum spin Hall dots
• ${\mathbb{Z}}_4$ parafermions in weakly interacting superconducting constrictions at the helical edge of quantum spin Hall insulators
• Tunnel junction of helical edge states: Determining and controlling spin-preserving and spin-flipping processes through transconductance
• Spin current pumping in helical Luttinger liquids
• Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
• Dephasing of spin and charge interference in helical Luttinger liquids
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Transport phenomena in helical edge states interferometers. A Green's function approach
• Signature of interaction in dc transport of ac gated Quantum Spin Hall edge states
• Helical edge states in multiple topological mass domains
• Noise and current correlations in tunnel junctions of Quantum Spin Hall edge states
• High-temperature Aharonov-Bohm-Casher interferometer
• Point contacts and localization in generic helical liquids
• Transient dynamics of spin-polarized injection in helical Luttinger liquids
• Finite frequency noise in a quantum point contact between helical edge states
• Phase diagram of two interacting helical states
• Nonequilibrium noise correlations in a point contact of helical edge states
• Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
• Superfluid-Insulator transition of quantum Hall domain walls in bilayer graphene
• Effects of disorder on electron tunneling through helical edge states
• Transport via double constrictions in integer and fractional topological insulators
• Interaction effects in non-equilibrium transport properties of a four-terminal topological corner junction
• Transport signatures of a Floquet topological transition at the helical edge
• Nonequilibrium transport of helical Luttinger liquids through a quantum dot
• Current enhancement through a time dependent constriction in fractional topological insulators
• Transport in quantum spin Hall edges in contact to a quantum dot
• Tunneling spectroscopy between one-dimensional helical conductors
• Anomalous flux periodicity in proximitised quantum spin Hall constrictions