2021/02/04 by A. Ortiz de Solórzano, Andrei Solórzano, Lea F. Santos +1 · 1 citation
Physics and Astronomy · Psychology · #Attribution #Computer science #Lattice (music) #Library science #License #Physics #Physics of Superconductivity and Magnetism #Psychology #Quantum and electron transport phenomena #Quantum many-body systems #Social psychology #Statistical physics #Subject (documents) #Theoretical physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevresearch.3.l032030
published as Phys. Rev. Research 3, 032030 (2021) · 8 pages, 5 figures
arxiv created 2021/02/04 · openalex created_date 2021/02/15 · openalex publication_date 2021/07/30 · arxiv updated 2021/08/04 · openalex updated_date 2026/08/06
Finite-size effects have been a major and justifiable source of concern for studies of many-body localization, and several works have been dedicated to the subject. In this Letter, however, we discuss yet another crucial problem that has received much less attention, that of the lack of self-averaging and the consequent danger of reducing the number of random realizations as the system size increases. By taking this into account and considering ensembles with a large number of samples for all system sizes analyzed, we find that the generalized dimensions of the eigenstates of the disordered Heisenberg spin-1/2 chain close to the transition point to localization are described remarkably well by an exact analytical expression derived for the noninteracting Fibonacci lattice, thus providing an additional tool for studies of many-body localization.