In this thesis, we developed a massively parallel exact-diagonalization application to study effects of the non-Abelian symmetries namely the SU(2) symmetries on Many-body localization (MBL) in disordered 1D Heisenberg spin chains using the well known parallel libraries PETSc and SLEPc. Using the shift-invert spectral transformation technique, we study the eigenstates in the middle of the spectrum. We are able to look at the level statistics of the spin chain of sizes up to L = 26. Also, the code can calculate the Renyi entropy of the highly-excited eigenstates.

Large-scale Exact Diagonalization of spin models with non-Abelian symmetries for the study of Many-Body Localization(2018 Dec 20).

Large-scale Exact Diagonalization of spin models with non-Abelian symmetries for the study of Many-Body Localization

-
2018

Abstract

In this thesis, we developed a massively parallel exact-diagonalization application to study effects of the non-Abelian symmetries namely the SU(2) symmetries on Many-body localization (MBL) in disordered 1D Heisenberg spin chains using the well known parallel libraries PETSc and SLEPc. Using the shift-invert spectral transformation technique, we study the eigenstates in the middle of the spectrum. We are able to look at the level statistics of the spin chain of sizes up to L = 26. Also, the code can calculate the Renyi entropy of the highly-excited eigenstates.
Panda, Rajat Kumar
Scardicchio, Antonello
Girotto, Ivan
File in questo prodotto:
File Dimensione Formato  
Rajat Kumar Panda.pdf

accesso aperto

Descrizione: MHPC Thesis
Tipologia: Tesi
Licenza: Non specificato
Dimensione 1.3 MB
Formato Adobe PDF
1.3 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/86168
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact