| Full text | |
| Author(s): |
Mard, H. Javan
;
Hoyos, Jose A.
;
Miranda, E.
;
Dobrosavljevic, V.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Physical Review B; v. 90, n. 12, p. 10-pg., 2014-09-23. |
| Abstract | |
We formulate a strong-disorder renormalization-group (SDRG) approach to study the beta 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 beta 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 beta 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. (AU) | |
| FAPESP's process: | 07/57630-5 - Non-perturbative methods applied to strongly correlated electronic systems |
| Grantee: | Eduardo Miranda |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/09850-7 - Disorder, Dynamics, Frustration and Topology in Quantum Condensed Matter |
| Grantee: | José Abel Hoyos Neto |
| Support Opportunities: | Research Grants - Meeting - Abroad |