Spectral statistics in chiral-orthogonal disordered systems
dc.contributor.author | Evangelou, S. N. | en |
dc.contributor.author | Katsanos, D. E. | en |
dc.date.accessioned | 2015-11-24T18:35:07Z | |
dc.date.available | 2015-11-24T18:35:07Z | |
dc.identifier.issn | 0305-4470 | - |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/17044 | |
dc.rights | Default Licence | - |
dc.subject | off-diagonal disorder | en |
dc.subject | 2-dimensional square lattice | en |
dc.subject | d-wave superconductors | en |
dc.subject | random-matrix-theory | en |
dc.subject | qcd dirac operator | en |
dc.subject | 2 dimensions | en |
dc.subject | quantum diffusion | en |
dc.subject | critical-points | en |
dc.subject | anderson model | en |
dc.subject | scaling theory | en |
dc.title | Spectral statistics in chiral-orthogonal disordered systems | en |
heal.abstract | We describe the singularities in the averaged density of states and the corresponding statistics of the energy levels in two- (2D) and three-dimensional (3D) chiral symmetric and time-reversal invariant disordered systems, realized in bipartite lattices with real off-diagonal disorder. For off-diagonal disorder of zero mean, we obtain a singular density of states in 2D which becomes much less pronounced in 3D, while the level-statistics can be described by a semi-Poisson distribution with mostly critical fractal states in 2D and Wigner surmise with mostly delocalized states in 3D. For logarithmic offdiagonal disorder of large strength, we find behaviour indistinguishable from ordinary disorder with strong localization in any dimension but in addition one-dimensional 1/\E\ Dyson-like asymptotic spectral singularities. The off-diagonal disorder is also shown to enhance the propagation of two interacting particles similarly to systems with diagonal disorder. Although disordered models with chiral symmetry differ from non-chiral ones due to the presence of spectral singularities, both share the same qualitative localization properties except at the chiral symmetry point E = 0 which is critical. | en |
heal.access | campus | - |
heal.fullTextAvailability | TRUE | - |
heal.identifier.primary | Doi 10.1088/0305-4470/36/12/322 | - |
heal.identifier.secondary | <Go to ISI>://000182454900023 | - |
heal.identifier.secondary | http://iopscience.iop.org/0305-4470/36/12/322/pdf/0305-4470_36_12_322.pdf | - |
heal.journalName | Journal of Physics a-Mathematical and General | en |
heal.journalType | peer reviewed | - |
heal.language | en | - |
heal.publicationDate | 2003 | - |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών και Τεχνολογιών. Τμήμα Βιολογικών Εφαρμογών και Τεχνολογιών | el |
heal.type | journalArticle | - |
heal.type.el | Άρθρο Περιοδικού | el |
heal.type.en | Journal article | en |
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