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Revista Mexicana de Física 2014, 60 (5)

Author: Sergio A. Hojman

Source: http://www.redalyc.org/


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Revista Mexicana de Física ISSN: 0035-001X rmf@ciencias.unam.mx Sociedad Mexicana de Física A.C. México Hojman, Sergio A. Origin of conical dispersion relations Revista Mexicana de Física, vol.
60, núm.
5, septiembre-octubre, 2014, pp.
336-339 Sociedad Mexicana de Física A.C. Distrito Federal, México Available in: http:--www.redalyc.org-articulo.oa?id=57031763001 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative RESEARCH Revista Mexicana de Fı́sica 60 (2014) 336–339 SEPTEMBER-OCTOBER 2014 Origin of conical dispersion relations Sergio A.
Hojman Departamento de Ciencias, Facultad de Artes Liberales, Facultad de Ingenierı́a y Ciencias, Universidad Adolfo Ibáñez, Santiago, Chile, and Departamento de Fı́sica, Facultad de Ciencias, Universidad de Chile, Santiago, Chile, and Centro de Recursos Educativos Avanzados, CREA, Santiago, Chile. e-mail: sergio.hojman@uai.cl Received 28 January 2014; accepted 23 June 2014 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 Schrödinger 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. PACS: 03.65.-w; 03.65.Ge 1.
Introduction Dirac massless fermions dispersion relations have been observed in graphene and other materials.
In spite of the extensive literature published on the subject, see for instance [1–5] and reference...





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