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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Strong-disorder approach for the Anderson localization transition

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Mard, H. Javan ; Hoyos, Jose A. ; Miranda, E. ; Dobrosavljevic, V.
Total Authors: 4
Document type: Journal article
Source: Physical Review B; v. 96, n. 4 JUL 27 2017.
Web of Science Citations: 2

We propose a strong-disorder renormalization-group approach to study the Anderson localization transition in disordered tight-binding models in any dimension. Our approach shifts the focus from the lower to the upper critical dimension, thus emphasizing the strong-coupling/strong-disorder nature of the transition. By studying the two-point conductance, we (i) show that our approach is in excellent agreement with exact numerical results, (ii) confirm that the upper critical dimension for the Anderson transition is d(c)(+) = infinity, (iii) find that the scaling function shows a previously reported `mirror symmetry' in the critical region, and (iv) demonstrate that the range of conductances for which this symmetry holds increases with the system dimensionality. Our results open an efficient avenue to explore the critical properties of the Anderson transition using the strong-coupling high-dimension limit as a starting point. (AU)

FAPESP's process: 16/10826-1 - Multi-user equipment approved in grant 2015/23849-7: computer cluster
Grantee:Francisco Castilho Alcaraz
Support type: Multi-user Equipment Program
FAPESP's process: 15/23849-7 - Quantum spin chains
Grantee:Francisco Castilho Alcaraz
Support type: Research Projects - Thematic Grants