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Weyl points on non-orientable manifolds
André Grossi Fonseca, Sachin Vaidya, Thomas Christensen +3
Weyl fermions are hypothetical chiral particles that can also manifest as excitations near three-dimensional band crossing points in lattice systems. These quasiparticles are subje…
Quasicrystalline Weyl points and dense Fermi-Bragg arcs
André Grossi e Fonseca, Thomas Christensen, John D. Joannopoulos +1
We introduce a general mechanism for obtaining Weyl points in a stack of 2D quasicrystals, which can be extended to any stack of aperiodic layers. We do so by driving a topological…
Non-Abelian nonsymmorphic chiral symmetries
Yi Yang, Hoi Chun Po, Vincent Liu +3
The Hofstadter model exemplifies a large class of physical systems characterized by particles hopping on a lattice immersed in a gauge field. Recent advancements on various synthet…
Three-dimensional non-Abelian generalizations of the Hofstadter model: spin-orbit-coupled butterfly trios
Vincent Liu, Yi Yang, John D. Joannopoulos +1
We theoretically introduce and study a three-dimensional Hofstadter model with linearly varying non-Abelian gauge potentials along all three dimensions. The model can be interprete…
Quantum Surface-Response of Metals Revealed by Acoustic Graphene Plasmons
P. A. D. Gonçalves, Thomas Christensen, N. M. R. Peres +5
A quantitative understanding of the electromagnetic response of materials is essential for the precise engineering of maximal, versatile, and controllable light--matter interaction…
Non-Abelian Generalizations of the Hofstadter model: Spin-orbit-coupled Butterfly Pairs
Yi Yang, Bo Zhen, John D. Joannopoulos +1
The Hofstadter model, well-known for its fractal butterfly spectrum, describes two-dimensional electrons under a perpendicular magnetic field, which gives rise to the integer quant…