Automorphic Bloch theorems for hyperbolic lattices
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2116869119
Abstract: Significance Recent experiments in circuit quantum electrodynamics and electric circuit networks have demonstrated the coherent propagation of wave-like excitations on hyperbolic lattices. The negative curvature of space that underlies such lattices invalidates the familiar Bloch… read more here.
Keywords: bloch; theorems hyperbolic; hyperbolic lattices; physics ... See more keywords
A generalization of Bloch's theorem for arbitrary boundary conditions: Theory
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.195133
Abstract: We present a generalization of Bloch's theorem to finite-range lattice systems of independent fermions, in which translation symmetry is broken only by arbitrary boundary conditions, by providing exact, analytic expressions for all energy eigenvalues and… read more here.
Keywords: bulk boundary; boundary conditions; bloch theorem; arbitrary boundary ... See more keywords