Adiabatic pumping in the quasi-one-dimensional triangle lattice

TL;DR

This paper studies the spectral and transport properties of a quasi-one-dimensional triangle lattice, focusing on flat bands, band touching, and adiabatic charge pumping, revealing how tuning parameters affects charge transfer.

Contribution

It introduces an analysis of adiabatic pumping in the triangle lattice, highlighting the effects of flat bands and band touching on charge transfer mechanisms.

Findings

Flat bands and band touching can be tuned via lattice parameters.

Adiabatic pumping results in quantized or linearly increasing charge transfer.

Transmission properties correlate with pumping behavior.

Abstract

We analyze the properties of the quasi-one-dimensional triangle lattice emphasizing the occurrence of flat bands and band touching via the tuning of the lattice hopping parameters and on-site energies. The spectral properties of the infinite system will be compared with the transmission through a finite piece of the lattice with attached semi-infinite leads. Furthermore, we investigate the adiabatic pumping properties of such a system: depending on the transmission through the lattice, this results in nonzero integer charge transfers or transfers that increase linearly with the lattice size.