Piezoelectricity: Quantized Charge Transport Driven by Adiabatic Deformations

Abstract

We study the (zero temperature) quantum piezoelectric response of Harper-like models with broken inversion symmetry. The charge transport in these models is related to topological invariants (Chern numbers). We show that there are arbitrarily small periodic modulations of the atomic positions that lead to nonzero charge transport for the electrons.

Latex, letter. Replaced version with minor change in style. 1 fig

References in corpus (3)

• Viscosity of Quantum Hall Fluids
• Transverse force on a quantized vortex in a superfluid
• Adiabatic Quantum Transport: Quantization and Fluctuations

Cited by in corpus (5)

• Geometric currents in piezoelectricity
• Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics
• Quantum spin pumping at fractionally quantized magnetization state for a system with competing exchange interactions
• Quantum Transport in Molecular Rings and Chains
• Adiabatic Cooper-Pair Pumping in a Linear Array of Cooper Pair Boxes