Quantized Alternate Current on Curved Graphene

Abstract

Based on the numerical solution of the Quantum Lattice Boltzmann Method in curved space, we predicted the onset of a quantized alternating current on curved graphene sheets. This numerical prediction was verified analytically via a set of semi-classical equations that related the Berry curvature to real space curvature. The proposed quantized oscillating current on curved graphene could form the basis for the implementation of quantum information-processing algorithms.

Keywords

• graphene
• electronic transport
• quantum cellular automata
• curved space
• quantum lattice Boltzmann
• Dirac fermion
• Bloch oscillations
• Berry curvature