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Título: | Efficient linear scaling approach for computing the Kubo Hall conductivity |
Autor: | Ortmann, F. CSIC ORCID; Leconte, Nicolás CSIC ORCID; Roche, Stephan CSIC ORCID | Fecha de publicación: | 2015 | Editor: | American Physical Society | Citación: | Physical Review B 91(16): 165117 (2015) | Resumen: | We report an order-N approach to compute the Kubo Hall conductivity for disorderd two-dimensional systems reaching tens of millions of orbitals, and realistic values of the applied external magnetic fields (as low as a few Tesla). A time-evolution scheme is employed to evaluate the Hall conductivity σxy using a wave-packet propagation method and a continued fraction expansion for the computation of diagonal and off-diagonal matrix elements of the Green functions. The validity of the method is demonstrated by comparison of results with brute-force diagonalization of the Kubo formula, using (disordered) graphene as the system of study. This approach to mesoscopic system sizes is opening an unprecedented perspective for so-called reverse engineering in which the available experimental transport data are used to get a deeper understanding of the microscopic structure of the samples. Besides, this will not only allow addressing subtle issues in terms of resistance standardization of large-scale materials (such as wafer scale polycrystalline graphene), but will also enable the discovery of new quantum transport phenomena in complex two-dimensional materials, out of reach with classical methods. | Descripción: | Under the terms of the Creative Commons Attribution License 3.0 (CC-BY). | Versión del editor: | http://dx.doi.org/10.1103/PhysRevB.91.165117 | URI: | http://hdl.handle.net/10261/131641 | DOI: | 10.1103/PhysRevB.91.165117 | Identificadores: | doi: 10.1103/PhysRevB.91.165117 issn: 1098-0121 e-issn: 1550-235X |
Aparece en las colecciones: | (CIN2) Artículos |
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Kubo Hall.pdf | 512,56 kB | Adobe PDF | Visualizar/Abrir |
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