Speaker: Juan Felipe Lopez Restrepo. Universidad de los Andes, Colombia
Title: Edge States and Selfadjoint Extensions in the Kitaev Chain
Place: Pontificia Universidad Católica, Facultad de Matemáticas, Campus San Joaquin, Sala 5
In this seminar, finite discrete Kitaev chain shall be presented with its topological phase transition. A continuum limit model is derived and the diagonalization problem of the resulting bilinear hamiltonian is translated in choice of selfad-joint extensions for a one dimensional Dirac operator, which is given by a set of possible boundary conditions. It is shown that the previous result coincides with the application of the Araki’s self dual formalism and its connection with edge sates is discussed. Joint work with A. F. Reyes.