Multi-locational Majorana Zero Modes

TL;DR

This paper introduces multi-locational Majorana zero modes in multi-terminal topological superconductor junctions, revealing their unique wave function splitting and long-range nonlocal transport, with implications for fault-tolerant quantum computing.

Contribution

It presents the theoretical prediction of multi-locational Majorana zero modes and their transport properties in three-terminal Josephson junctions, a novel concept in topological quantum physics.

Findings

Multi-locational Majorana zero modes can exist in multi-terminal topological superconductor junctions.

These modes cause anomalously long-ranged nonlocal resonant transport phenomena.

The work suggests potential applications in fault-tolerant topological quantum computing.

Abstract

We show the appearance of an unconventional Majorana zero mode whose wave function splits into multiple parts located at different ends of different topological superconductors, hereinafter referred to as a multi-locational Majorana zero mode. Specifically, we discuss the multi-locational Majorana zero modes in a three-terminal Josephson junction consisting of topological superconductors, which forms an elemental qubit of fault-tolerant topological quantum computers. We also demonstrate anomalously long-ranged nonlocal resonant transport phenomena caused by the multi-locational Majorana zero mode.