| Full text | |
| Author(s): |
Quito, Victor L.
;
Titum, Paraj
;
Pekker, David
;
Refael, Gil
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW B; v. 94, n. 10, p. 17-pg., 2016-09-19. |
| Abstract | |
The flow-equation method was proposed by Wegner as a technique for studying interacting systems in one dimension. Here, we apply this method to a disordered one-dimensional model with power-law decaying hoppings. This model presents a transition as function of the decaying exponent alpha. We derive the flow equations and the evolution of single-particle operators. The flow equation reveals the delocalized nature of the states for alpha < 1/2. Additionally, in the regime alpha > 1/2, we present a strong-bond renormalization group structure based on iterating the three-site clusters, where we solve the flow equations perturbatively. This renormalization group approach allows us to probe the critical point (alpha = 1). This method correctly reproduces the critical level-spacing statistics and the fractal dimensionality of the eigenfunctions. (AU) | |
| FAPESP's process: | 12/17082-7 - Disordered Floquet topological insulators |
| Grantee: | Victor Luiz Quito |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate (Direct) |
| FAPESP's process: | 09/17531-3 - Studies of strongly disordered quantum systems |
| Grantee: | Victor Luiz Quito |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |