Origin of conical dispersion relations

Sergio A. Hojman

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)336-339
Number of pages4
JournalRevista Mexicana de Fisica
Issue number5
StatePublished - 2014


  • Conical dispersion relations
  • Modified Dirac-Kronig-Penney potential
  • Quantum mechanics


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