2017/08/29 by Marcin Mierzejewski, Maciej Kozarzewski, P. Prelovšek +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Chain (unit) #Classical mechanics #Condensed matter physics #Fermion #Hubbard model #Mathematical physics #Motion (physics) #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Statistical physics #Superconductivity #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.97.064204
published as Phys. Rev. B 97, 064204 (2018)
arxiv created 2017/08/29 · openalex created_date 2017/09/15 · openalex publication_date 2018/02/28 · arxiv updated 2018/03/07 · openalex updated_date 2026/08/05
We develop a procedure which systematically generates all conserved operators in the disordered models of interacting fermions. Among these operators, we identify and count the independent and local integrals of motion (LIOM), which represent the hallmark of the many-body localization (MBL). The method is tested first on the prototype disordered chain of interacting spinless fermions. As expected for full MBL, we find for large enough disorder NM=2M\ensuremath-1 independent and quasilocal LIOM with support on M consecutive sites. On the other hand, the study of the disordered Hubbard chain reveals that 3M\ensuremath-1<NM\ensuremath\lesssim4M/2, which is less than required for full MBL but much more than in the case of spinless fermions.