We study the effects of finite voltage bias on Caroli-de Gennes-Matricon (CdGM) states in topological Josephson junctions with a vortex lattice. The voltage drives vortices into steady motion, squeezing the CdGM spectrum due to quasi-relativistic dispersion. A finite voltage range allows well-defined states, but beyond a critical breakdown voltage, the states collapse to zero energy and become sharply localized, marking a dynamical transition. Additionally, finite bias modifies selection rules for CdGM state transitions. Notably, in the steady-state regime, the time-averaged current vanishes, revealing a novel interplay between vortex dynamics and quantum coherence.
@article{arxiv.2502.02192,
title = {Topological Josephson vortices at finite voltage bias},
author = {Kiryl Piasotski and Adrian Reich and Alexander Shnirman},
journal= {arXiv preprint arXiv:2502.02192},
year = {2025}
}