Interacting two helical edge modes in quantum spin Hall systems

Abstract

We study theoretically the two interacting one-dimensional helical modes at the edges of the quantum spin Hall systems. A new type of inter-edge correlated liquid (IECL) without the spin gap is found. This liquid shows the diverging density wave (DW) and superconductivity (SC) correlations much stronger than those of the spinfull electrons. Possible experimental observations are also discussed.

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• Phonon induced backscattering in helical edge states
• Topological insulators and fractional quantum Hall effect on the ruby lattice
• Interference of Topologically Protected Edge States in Silicene Nanoribbons
• Interacting topological edge channels
• A study on correlation effects in two dimensional topological insulators
• Proposal for an all-electrical measurement of crossed Andreev reflection in topological insulators
• Charge-spin duality in non-equilibrium transport of helical liquids
• Tunable quantum spin Hall effect in double quantum wells
• Spin polarised scanning tunneling probe for helical Luttinger liquids
• Helical Liquids in Semiconductors
• Spectral properties of Luttinger liquids: A comparative analysis of regular, helical, and spiral Luttinger liquids
• Topological Insulators and Quantum Spin Liquids
• Tunnel junction of helical edge states: Determining and controlling spin-preserving and spin-flipping processes through transconductance
• Helical Quantum Edge Gears in 2D Topological Insulators
• Gate-controlled one-dimensional channel on the topological surface
• Tunneling between Two Helical Superconductors via Majorana Edge Channels
• Coulomb drag between helical edge states
• Time-reversal invariant topological superfluids in Bose-Fermi mixtures
• Stability of edge states in strained graphene
• Phase diagram of two interacting helical states
• Rashba coupling and magnetic order in correlated helical liquids
• Interaction-enhanced magnetically ordered insulating state at the edge of a two-dimensional topological insulator
• Localization-Driven Correlated States of Two Isolated Interacting Helical Edges
• Kane-Mele-Hubbard model on the $\pi$-flux honeycomb lattice
• Synthetic helical liquid in a quantum wire
• Localized surfaces of three dimensional topological insulators
• Electrical modulation of the edge channel transport in topological insulators coupled to ferromagnetic leads
• Structure factor of interacting one-dimensional helical systems
• Two-channel Kondo problem in coupled interacting helical liquids
• Tunneling spectroscopy between one-dimensional helical conductors
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators