Adiabatic pumping in the quasi-one-dimensional triangle lattice

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.

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Cited by in corpus (5)

• Boson and fermion dynamics in quasi-one-dimensional flat band lattices
• Flat band transport and Josephson effect through a finite-size sawtooth lattice
• Solitons in one-dimensional lattices with a flat band
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Designer quantum states on a fractal substrate: compact localization, flat bands and the edge modes