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Effect of Symmetry Breaking on Electronic Band Structure: Gap Opening at the High Symmetry Points
Institut Jean Lamour, UMR 7198, Université de Lorraine, B.P. 70239, 54506 Vandoeuvre-l'es-Nancy, France
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Received: 23 September 2013; in revised form: 11 November 2013 / Accepted: 3 December 2013 / Published: 9 December 2013
Abstract: 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
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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.
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(4):344-354.
Vasseur, Guillaume; Fagot-Revurat, Yannick; Kierren, Bertrand; Sicot, Muriel; Malterre, Daniel. 2013. "Effect of Symmetry Breaking on Electronic Band Structure: Gap Opening at the High Symmetry Points." Symmetry 5, no. 4: 344-354.