Symmetry-based theory of Dirac fermions on two-dimensional hyperbolic crystals: Coupling to the spin connection
This paper establishes a symmetry-based framework for Dirac fermions on two-dimensional hyperbolic lattices by incorporating spin-curvature coupling via a discrete spin connection, demonstrating through both continuum theory and numerical simulations that this interaction leads to a robust, nonvanishing low-energy density of states which enhances susceptibility to interaction-driven instabilities.