2013/09/05 by Sergio A. Hojman, Hojman, Sergio A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics #quant-ph
paper · pdf · doi:10.48550/arxiv.1309.1409
4 pages
openalex publication_date 2013/09/05 · arxiv created 2013/09/16 · arxiv updated 2013/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A mechanism that produces conical dispersion relations is presented. A Kronig Penney one dimensional array with two different strengths delta function potentials gives rise to both the gap closure and the dispersion relation observed in graphene and other materials. The Schr''odinger eigenvalue problem is locally invariant under the infinite dimensional Virasoro algebra near conical dispersion points in reciprocal space, thus suggesting a possible relation to string theory.