Application of Singularity Theory to Bifurcation of Band Structures in Crystals

Journal of Singularities
volume 21 (2020), 268-281

Received: 14 May 2018. Received in revised form: 9 February 2019.

DOI: 10.5427/jsing.2020.21p

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Abstract:

Starting from the mean-field Hamiltonian of an electron in a crystal, we briefly review some known facts about its spectral structures and how singularities come into play in such spectral structures, and then provide our future perspective. We also estimate lower bounds of codimensions for the case where more than two bands to cross at a point.

Author(s) information:

H. Teramoto, A. Tsuchida, K. Kondo, S. Izumiya, M. Toda, and T. Komatsuzaki