Delocalization in infinite disordered two-dimensional lattices of different geometry

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dc.contributor.authorKostadinova, Eva
dc.contributor.authorBusse, Kyle
dc.contributor.authorEllis, Naoki
dc.contributor.authorPadgett, Josh
dc.contributor.authorLiaw, Constanze
dc.contributor.authorMatthews, Lorin S.
dc.contributor.authorHyde, Truell W.
dc.date.accessioned2018-02-21T16:16:30Z
dc.date.available2018-02-21T16:16:30Z
dc.date.issued2017-12-06
dc.description.abstractThe spectral approach to infinite disordered crystals is applied to anAnderson-type Hamiltonian to demonstrate the existence of extended states for nonzero disorder in 2D lattices of different geometries. The numerical simulations shown prove that extended states exist for disordered honeycomb, triangular, and square crystals. This observation stands in contrast to the predictions of scaling theory, and aligns with experiments in photonic lattices and electron systems. The method used is the only theoretical approach aimed at showing delocalization. A comparison of the results for the three geometries indicates that the triangular and honeycomb lattices experience transition in the transport behavior for similar levels of disorder, which is to be expected from the planar duality of the lattices. This provides justification for the use of artificially prepared triangular lattices as analogues for honeycomb materials, such as graphene. The analysis also shows that the transition in the honeycomb case happens more abruptly compared to the other two geometries, which can be attributed to the number of nearest neighbors.We outline the advantages of the spectral approach as a viable alternative to scaling theory and discuss its applicability to transport problems in both quantum and classical 2D systems.en_US
dc.description.keywords2D latticeen_US
dc.description.keywordsdelocalizationen_US
dc.description.keywordsAnderson localizationen_US
dc.identifier.citationPhysical Review B, 96, 235408, 15 December 2017en_US
dc.identifier.doi10.1103/PhysRevB.96.235408
dc.identifier.urihttp://hdl.handle.net/2104/10206
dc.language.isoenen
dc.publisherPhysical Review Ben_US
dc.titleDelocalization in infinite disordered two-dimensional lattices of different geometryen_US
dc.typeArticleen

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