Rules for dissipationless topotronics

TL;DR

This paper establishes a criterion for designing dissipationless topological electronic devices, emphasizing mode matching and advocating for high Chern number insulators to achieve truly no-dissipation topotronics.

Contribution

It introduces a mode-matching criterion for dissipationless topological devices and highlights the importance of high Chern number insulators for practical topotronics.

Findings

Mode matching ensures dissipationless transport.

High Chern number insulators are essential.

Designed topological current divider and collector.

Abstract

Topological systems hosting gapless boundary states have attracted huge attention as promising components for next-generation information processing, attributed to their capacity for dissipationless electronics. Nevertheless, recent theoretical and experimental inquiries have revealed the emergence of energy dissipation in precisely quantized electrical transport. Here, we present a criterion for the realization of truly no-dissipation design, characterized as $N_{in}=N_{tunl}+N_{bs}$, where $N_{in}$, $N_{tunl}$, and $N_{bs}$ represent the number of modes participating in injecting, tunneling, and backscattering processes, respectively. The key lies in matching the number of injecting, tunneling and backscattering modes, ensuring the equilibrium among all engaged modes inside the device. Among all the topological materials, we advocate for the indispensability of Chern insulators exhibiting higher Chern numbers to achieve functional devices and uphold the no-dissipation rule simultaneously. Furthermore, we design the topological current divider and collector, evading dissipation upon fulfilling the established criterion. Our work paves the path for developing the prospective topotronics.