Coulomb drag between helical edge states

Understand

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.