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Symmetry 2013, 5(4), 344-354; doi:10.3390/sym5040344

Effect of Symmetry Breaking on Electronic Band Structure: Gap Opening at the High Symmetry Points

 and *
Institut Jean Lamour, UMR 7198, Université de Lorraine, B.P. 70239, 54506 Vandoeuvre-l'es-Nancy, France
* Author to whom correspondence should be addressed.
Received: 23 September 2013 / Revised: 11 November 2013 / Accepted: 3 December 2013 / Published: 9 December 2013
(This article belongs to the Special Issue Symmetry Breaking)
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Some characteristic features of band structures, like the band degeneracy at high symmetry points or the existence of energy gaps, usually reflect the symmetry of the crystal or, more precisely, the symmetry of the wave vector group at the relevant points of the Brillouin zone. In this paper, we will illustrate this property by considering two-dimensional (2D)-hexagonal lattices characterized by a possible two-fold degenerate band at the K points with a linear dispersion (Dirac points). By combining scanning tunneling spectroscopy and angle-resolved photoemission, we study the electronic properties of a similar system: the Ag/Cu(111) interface reconstruction characterized by a hexagonal superlattice, and we show that the gap opening at the K points of the Brillouin zone of the reconstructed cell is due to the symmetry breaking of the wave vector group.
Keywords: symmetry; electronic structure; gap opening symmetry; electronic structure; gap opening
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Vasseur, G.; Fagot-Revurat, Y.; Kierren, B.; Sicot, M.; Malterre, D. Effect of Symmetry Breaking on Electronic Band Structure: Gap Opening at the High Symmetry Points. Symmetry 2013, 5, 344-354.

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