Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/86021
Type: Artigo
Title: Strong-disorder renormalization-group study of the one-dimensional tight-binding model
Author: Mard, H. J.
Hoyos, J. A.
Miranda, E.
Dobrosavljevic, V.
Abstract: We formulate a strong-disorder renormalization-group (SDRG) approach to study the β function of the tight-binding model in one dimension with both diagonal and off-diagonal disorder for states at the band center. We show that the SDRG method, when used to compute transport properties, yields exact results since it is identical to the transfer matrix method. The β function is shown to be universal when only off-diagonal disorder is present even though single-parameter scaling is known to be violated. A different single-parameter scaling theory is formulated for this particular (particle-hole symmetric) case. Upon breaking particle-hole symmetry (by adding diagonal disorder), the β function is shown to crossover from the universal behavior of the particle-hole symmetric case to the conventional nonuniversal one in agreement with the two-parameter scaling theory. We finally draw an analogy with the random transverse-field Ising chain in the paramagnetic phase. The particle-hole symmetric case corresponds to the critical point of the quantum Ising model, while the generic case corresponds to the Griffiths paramagnetic phase.
We formulate a strong-disorder renormalization-group (SDRG) approach to study the β function of the tight-binding model in one dimension with both diagonal and off-diagonal disorder for states at the band center. We show that the SDRG method, when used to compute transport properties, yields exact results since it is identical to the transfer matrix method. The β function is shown to be universal when only off-diagonal disorder is present even though single-parameter scaling is known to be violated. A different single-parameter scaling theory is formulated for this particular (particle-hole symmetric) case. Upon breaking particle-hole symmetry (by adding diagonal disorder), the β function is shown to crossover from the universal behavior of the particle-hole symmetric case to the conventional nonuniversal one in agreement with the two-parameter scaling theory. We finally draw an analogy with the random transverse-field Ising chain in the paramagnetic phase. The particle-hole symmetric case corresponds to the critical point of the quantum Ising model, while the generic case corresponds to the Griffiths paramagnetic phase.
Subject: Transição de fase
Country: Estados Unidos
Editor: American Physical Society
Citation: Physical Review B - Condensed Matter And Materials Physics. American Physical Society, v. 90, n. 12, p. - , 2014.
Rights: aberto
Identifier DOI: 10.1103/PhysRevB.90.125141
Address: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.90.125141
Date Issue: 2014
Appears in Collections:IFGW - Artigos e Outros Documentos

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