Abstract

HOJMAN, Sergio A.. Origin of conical dispersion relations. Rev. mex. fis. [online]. 2014, vol.60, n.5, pp.336-339. ISSN 0035-001X.

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 Schrodinger 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.

Keywords : Quantum mechanics; modified Dirac-Kronig-Penney potential; conical dispersion relations.

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