Schulze, M.M.SchulzeBercioux, D.D.BerciouxUrban, D.F.D.F.Urban2022-03-045.12.20142013https://publica.fraunhofer.de/handle/publica/23186210.1103/PhysRevB.87.024301We 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.enquantum pumpingQuantum transportquantum wire620530journal article