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O: Fachverband Oberflächenphysik
O 26: Focus Session: Designer Quantum Systems I (joint session O/TT)
O 26.7: Talk
Tuesday, April 2, 2019, 12:30–12:45, H15
Spectral Properties of the Herringbone lattice — M. A. Jimenez Herrera1, O. Dutta2, A. Iniguez3, G. Giedke2,4, and •D. Bercioux2,4 — 1Centro de Física de Materiales (CFM-MPC) Centro Mixto CSIC-UPV/EHU, E-20018 Donostia-San Sebastián, Spain — 2Donostia International Physics Center (DIPC), Paseo Manuel de Lardizbal 4, E-20018 San Sebastián, Spain — 3University of the Basque Country, UPV/EHU, Bilbao, Spain — 4IKERBASQUE, Basque Foundation of Science, 48011 Bilbao, Spain
We investigate the spectral properties of a two-dimensional lattice system described by a non-symmorphic symmetry; specifically, we look at the herringbone lattice that is characterised by two glide symmetries. We model the system via a tight-binding model with horizontal and vertical hopping terms. We evaluate the spectrum of the system in the presence of a perpendicular magnetic field: we show how the Hofstadter’s butterfly presents characteristics inherited by the honeycomb and square lattice butterflies. Furthermore, we investigate the appearance of edge states in the system when dimerizing the hopping parameters on the horizontal and vertical direction. We analyse the topological properties of these bands in a similar way to the analysis presented for the case of a symmorphic lattice [1]. Finally, we present a possible implementation in terms of CO atoms placed on the top of a Cu(111) surface [2].
[1] F. Liu, & K. Wakabayashi Phys. Rev. Lett. 118, 076803 (2017).
[2] K. K. Gomes, W. Mar, W. Ko, F. Guinea, & H. C. Manoharan Nature, 483, 306 (2012).