Theoretical proposal to obtain strong Majorana evidence from scanning tunneling spectroscopy of a vortex with a dissipative environment

It is predicted that a vortex in topological superconductor contains Majorana zero mode (MZM). The confirmative signature, i.e., the $2{e}^{2}/h$ quantized conductance, however, easily sabotaged by unavoidable interruptions, e.g., instrument broadening, non-Majorana signal, and extra particle channels. To avoid these we propose to obtain strong evidence following our novel hunting protocol relies on dissipation introduced disorders at, sample-substrate interface. Within this protocol, highlight three features, each of which alone can provide identify MZM. First, suppresses finite-energy Caroli-de Gennes-Matricon (CdGM) conductance peak into valley, while it does not split MZM zero-bias (ZBCP). Second, predict dissipation-dependent scaling feature ZBCP. Third, manifests signal suppressing nontopological CdGM modes. Importantly, observation features require value $2{e}^{2}/h$.