Rules for dissipationless topotronics.

Area of Science:

• Condensed Matter Physics
• Quantum Information Science
• Materials Science

Background:

• Topological systems with gapless boundary states are explored for dissipationless electronics.
• Recent studies reveal energy dissipation in quantized electrical transport within these systems.

Purpose of the Study:

• To establish a criterion for achieving truly no-dissipation design in topological electronic devices.
• To identify suitable topological materials and design novel device architectures for dissipationless operation.

Main Methods:

• Development of a theoretical criterion: N_in = N_tunl + N_bs, balancing modes in injection, tunneling, and backscattering.
• Advocacy for Chern insulators with higher Chern numbers for device functionality.
• Design of topological current dividers and collectors.

Main Results:

• A criterion for no-dissipation is proposed by matching the number of participating modes.
• Chern insulators are identified as essential for simultaneously achieving functionality and no-dissipation.
• Novel topological current divider and collector designs are presented that evade dissipation.

Conclusions:

• The proposed criterion enables the design of truly dissipationless topological electronic devices.
• Chern insulators are crucial for realizing the no-dissipation rule in functional devices.
• This work advances the field of topotronics by providing a pathway for dissipationless electronic components.