Biasing topological charge injection in topological matter
Abstract
We explore the interplay between topologies in the momentum and real spaces to formulate a thermodynamic description of nonequilibrium injection of topological charges under external bias. We show that the edge modes engendered by the momentum-space topology can play a functional role of connecting the external reservoirs to the bulk transport of topological charges in the real space. We illustrate our general results with two examples: the spin-torque injection of skyrmions in an electrically-biased integer quantum Hall system, and the vortex injection in a topological superconductor coupled to heat reservoirs. Based on the universal fractional entropy of the Majorana zero modes bound to the vortices, their controllable injection proposed in this work could provide a route for creating and manipulating Majorana fermions.
Cite
@article{arxiv.2104.01479,
title = {Biasing topological charge injection in topological matter},
author = {Mostafa Tanhayi Ahari and Shu Zhang and Ji Zou and Yaroslav Tserkovnyak},
journal= {arXiv preprint arXiv:2104.01479},
year = {2021}
}