Stability of the Dirac cone in artificial graphene formed in quantum wells: A computational many-electron study

New Journal Of Physics 18, 083014 (2016)

Stability of the Dirac cone in artificial graphene formed in quantum wells: A computational many-electron study

Ilkka Kylanpaa,Fulvio Berardi, Esa Rasanen, Pablo Garca-Gonzalez, Carlo Andrea Rozzi, Angel Rubio

We carry out a comprehensive computational study on the stability of the Dirac cone in arti cial graphene realized in nanopatterned quantum wells. Our realspace approach allows us to vary the size, shape, and positioning of the quantum dots in the hexagonal lattice. We compare the (noninteracting) single-particle calculations to density-functional studies within both local-density approximation and metageneralized- gradient approximation. Furthermore, the density-functional results are compared against numerically precise path-integral quantum Monte Carlo calculations. As a whole, our results indicate remarkably high stability of the Dirac bands against external parameters, which is reassuring for further experimental investigations.

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http://dx.doi.org/10.1088/1367-2630/18/8/083014
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This work has been supported by the Academy of Finland and the Nordic Innovation through its Top-Level Research Initiative (Project No. P-13053), the European Research Council (ERC-2015-AdG-694097), the Spanish Ministry of Economy and Competitiveness (grants FIS2013-46159-C3-1-P, and MAT2014-53432-C5-5-R), the Basque Country Government (Grupos Consolidados IT-578-13), FP7 MC-IIF MODENADYNA (grant agreement No. 623413), and COST Action MP1306 (EUSpec).PGG acknowledges nancial support from the Spanish Ministry of Economy and Competitiveness, through the \Mara de Maeztu" Programme for Units of Excellence in R&D (MDM-2014-0377). We also acknowledge CSC and TCSC for computational resources.

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