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).
|Autori:||Panda, Rajat Kumar|
|Titolo:||Large-scale Exact Diagonalization of spin models with non-Abelian symmetries for the study of Many-Body Localization|
|Relatore/i esterni:||Girotto, Ivan|
|Data di pubblicazione:||20-dic-2018|
|Aree SISSA:||Laboratorio Interdisciplinare|
|Appare nelle tipologie:||8.4 Master thesis in High Performance Computing (HPC)|