Coulomb drag between helical edge states

Abstract

We theoretically investigate the Coulomb drag between the edge states of two quantum spin Hall systems. Using an interacting theory of the one-dimensional helical edge modes, we show that the drag vanishes at second order in the inter-edge interaction, where it is typically finite in other systems, due to the absence of backscattering within the edges. However, in the presence of a small external magnetic field the drag is finite and scales as the fourth power of the magnetic field, a behavior that sharply distinguishes it from other systems. We obtain the temperature dependence of the drag for regimes of both linear and quadratic edge dispersion in the presence of a finite field.

4 pages, 3 figures

References in corpus (30)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Quantum Spin Hall Effect
• The quantum spin Hall effect and topological insulators
• Nonlocal edge state transport in the quantum spin Hall state
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Stability of the quantum spin Hall effect: effects of interactions, disorder, and Z_2 topology
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Dynamic response of one-dimensional interacting fermions
• Critical Behavior of a Point Contact in a Quantum Spin Hall Insulator
• Corner Junction as a Probe of Helical Edge States
• Tunneling between edge states in a quantum spin Hall system
• Coulomb drag by small momentum transfer between quantum wires
• Spin-orbital effects in magnetized quantum wires and spin chains
• Coulomb drag between two spin incoherent Luttinger liquids
• Coulomb Drag between Quantum Wires
• Fractionalization in Superconductor Josephson Junction Arrays Hinged by Quantum Spin Hall edges
• Coulomb drag between ballistic one-dimensional electron systems
• Quantum Dot in 2D Topological Insulator: The Two-channel Kondo Fixed Point
• Interacting two helical edge modes in quantum spin Hall systems
• Spin-orbit induced spin-density wave in a quantum wire
• Luttinger liquids with curvature: Density correlations and Coulomb drag effect
• Coulomb drag between one-dimensional conductors
• Generation of spin current by Coulomb drag
• Coulomb drag between quantum wires with different electron densities
• Singular responses of spin-incoherent Luttinger liquids

Cited by in corpus (19)

• Topological insulators and superconductors
• Coulomb drag
• Topological insulators and fractional quantum Hall effect on the ruby lattice
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Inter-band Coherence Response to Electric Fields in Crystals
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• Tunable quantum spin Hall effect in double quantum wells
• Helical Liquids in Semiconductors
• Topological Insulators and Quantum Spin Liquids
• Helical Quantum Edge Gears in 2D Topological Insulators
• Localization-Driven Correlated States of Two Isolated Interacting Helical Edges
• Coulomb drag between helical Luttinger liquids
• Anomalous Hall Coulomb drag of massive Dirac fermions
• Electrical modulation of the edge channel transport in topological insulators coupled to ferromagnetic leads
• Structure factor of interacting one-dimensional helical systems
• Coulomb drag in topological materials
• Dynamics of impurity in the environment of Dirac fermions
• Correlated insulator in two Coulomb-coupled quantum wires
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States