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Nonhermitian topological zero modes at smooth domain walls: Exact solutions
Pasquale Marra, Angela Nigro
The bulk-boundary correspondence predicts the existence of boundary modes localized at the edges of topologically nontrivial systems. The wavefunctions of hermitian boundary modes…
Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
Pasquale Marra, Angela Nigro
Topological zero modes in topological insulators or superconductors are exponentially localized at the phase transition between a topologically trivial and nontrivial phase. These…
Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities
Pasquale Marra, Angela Nigro
Topology describes global quantities invariant under continuous deformations, such as the number of elementary excitations at a phase boundary, without detailing specifics. Convers…
Hofstadter-Toda spectral duality and quantum groups
Pasquale Marra, Valerio Proietti, Xiaobing Sheng
The Hofstadter model allows to describe and understand several phenomena in condensed matter such as the quantum Hall effect, Anderson localization, charge pumping, and flat-bands…