Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/329109
Type: Artigo
Title: Localization Transition In One Dimension Using Wegner Flow Equations
Localization transition in one dimension using Wegner flow equations
Author: Quito, V. L.
Titum, P.
Pekker, D.
Refael, G.
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.
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.
Subject: Metal-insulator-transition
Many-body-localization
Random-matrix Theory
Anderson Transition
Dipole Interaction
Vibrational-modes
Hamiltonians
Absence
Chain
Renormalization
Renormalização (Física), Sistemas desordenados, Magnetismo
Country: Estados Unidos
Editor: American Physical Society
Citation: Physical Review B. Amer Physical Soc, v. 94, p. , 2016.
Rights: aberto
Identifier DOI: 10.1103/PhysRevB.94.104202
Address: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.104202
Date Issue: 2016
Appears in Collections:IFGW - Artigos e Outros Documentos

Files in This Item:
File SizeFormat 
000383858300001.pdf2.08 MBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.