• JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
 
  Bookmark and Share
 
 
Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2022.tde-08052023-164042
Document
Author
Full name
Maruan Jabbar Drehmer
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2022
Supervisor
Committee
Vieira, Andre de Pinho (President)
Andrade, Roberto Fernandes Silva
Hoyos Neto, José Abel
Title in Portuguese
Algoritmo computacional para o grupo de renormalização para desordem forte aplicado à cadeia de spin 1 com simetria SU(2)
Keywords in Portuguese
Cadeias quânticas de spins
Grupo de renormalização.
Sistemas aperiódicos
Abstract in Portuguese
Esta dissertação apresenta um algoritmo para implementação numérica do grupo de renormalização para desordem forte na cadeia quântica de spin 1 com simetria SU(2), em sua forma mais geral, com acoplamentos bilineares e biquadráticos que variam de sítio para sítio. O algoritmo, escrito na linguagem Wolfram, do software Mathematica, funciona tanto para o caso em que a desordem nos acoplamentos é aleatória quanto para o caso em que os acoplamentos são distribuídos de acordo com sequências aperiódicas determinísticas, caso em que é preciso lidar com a renormalização de blocos contendo um número arbitrário de spins (restrito, por limitações computacionais, a 9 sítios). Como teste, determina-se o diagrama de fases da cadeia de spin 1 com acoplamentos distribuídos de acordo com a sequência aperiódica de Fibonacci.
Title in English
Computational algorithm for the strong-disorden renormalization group applied to the spin-1 chain with SU(2) symmetry
Keywords in English
Aperiodic systems
Quantum spin chains
Renormalization group.
Abstract in English
This work introduces an algorithm implementing a numerical version of the strong-disorder renormalization-group scheme for the SU(2)-symmetric spin-1 quantum chain in its most general form, with both bilinear and biquadratic couplings varying from site to site. The algorithm, written in the Wolfram language, used by Mathematica, is applicable both in the case of random couplings as well as when couplings are distributed according to a determinist aperiodic sequence, a case in which one must deal with the renormalization of blocks containing an arbitrary number of spins (restricted, due to computational limitations, to 9 sites). As a test, the phase diagram of the spin-1 chain with couplings following the Fibonacci aperiodic sequence is determined.
 
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
DissertacaoUsp.pdf (1.62 Mbytes)
Publishing Date
2023-05-11
 
WARNING: Learn what derived works are clicking here.
All rights of the thesis/dissertation are from the authors
CeTI-SC/STI
Digital Library of Theses and Dissertations of USP. Copyright © 2001-2024. All rights reserved.