Autor(es)

Quito, Victor L. ; Titum, Paraj ; Pekker, David ; Refael, Gil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW B; v. 94, n. 10, p. 17-pg., 2016-09-19.

Resumo

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)

• Processo FAPESP: 12/17082-7 - Isolantes topológicos de Floquet desordenados
• Beneficiário: Victor Luiz Quito
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado Direto
• Processo FAPESP: 09/17531-3 - Estudos de sistemas quânticos fortemente desordenados
• Beneficiário: Victor Luiz Quito
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto