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Pablo Rodriguez-Lopez1, Adolfo G Grushin2

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We predict repulsive Casimir forces between Chern insulator plates with opposite Chern numbers. This unique repulsive force can be tuned by flipping plates or electrostatic doping, offering new possibilities in materials science.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • Materials Science

Background:

  • The Casimir effect describes a quantum electrodynamic force between closely spaced objects.
  • Chern insulators are topological materials characterized by quantized Hall conductivity.
  • Understanding tunable forces in novel materials is crucial for advanced applications.

Purpose of the Study:

  • To theoretically investigate the Casimir force between Chern insulator plates.
  • To explore the possibility of repulsive Casimir forces in these systems.
  • To identify practical material candidates for realizing such phenomena.

Main Methods:

  • Theoretical prediction of Casimir forces using quantum field theory.
  • Calculation of optical response, including full optical response of plates.
  • Analysis based on quantized zero-frequency Hall conductivity.

Main Results:

  • Casimir force can be repulsive at long distances for plates with opposite Chern numbers.
  • Force sign is tunable by plate orientation or electrostatic doping.
  • Repulsion is a general phenomenon for Chern insulators, linked to quantized Hall conductivity.

Conclusions:

  • Repulsive Casimir forces are theoretically achievable in Chern insulators.
  • Thin films of Cr-doped (Bi,Sb)2Te3 are identified as potential candidates.
  • This work opens avenues for controlling forces at the nanoscale using topological materials.