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Regensburg 2022 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 7: Fluctuations, Noise, Magnetotransport, and Related Topics

TT 7.9: Talk

Monday, September 5, 2022, 17:15–17:30, H23

Spectral properties of the herringbone lattice — •Miguel Angel Jiménez Herrera1,2 and Dario Bercioux2,31Centro de Física de Materiales (CFM-MPC) Centro Mixto CSIC-UPV/EHU, 20018 Donostia-San Sebastian, Basque Country, Spain — 2Donostia International Physics Center, 20018 San Sebastián, Spain — 3IKERBASQUE, Basque Foundation for Science, Euskadi Plaza, 5, 48009 Bilbao, Spain

We investigate the spectral properties of a two-dimensional electronic lattice that belongs to a non-symmorphic space group. More specifically, we look at the herringbone lattice that is characterised by two sets of glide symmetries applied in two orthogonal directions. We describe the system using a tight-binding model with nearest neighbors divided into horizontal and vertical hopping terms. We find two non-equivalent Dirac cones inside the first Brillouin zone along a high-symmetry paths, among other features, which react to different perturbations applied to the Hamiltonian. These perturbations break the symmetries of the lattice: we begin by placing different onsite potentials in the lattice sites. We observe annihilation of Dirac cones into semi-Dirac cones and nodal lines along high symmetry paths. Finally, we perturb the system by applying a dimerization on the hoppings. We report a flow of Dirac cones inside the first Brillouin zone describing quasi-hyperbolic curves

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