2016/11/02 by Vieri Mastropietro
Physics and Astronomy · #Exponential decay #Fermion #Pauli exclusion principle #Quantum chaos and dynamical systems #Quantum many-body systems #Quartic function #Renormalization #Renormalization group #Spin (aerodynamics) #Spinning #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1002/andp.201600270
arxiv created 2016/11/02 · openalex publication_date 2016/12/09 · arxiv updated 2017/08/02 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
Interacting spinning fermions with strong quasi‐random disorder are analyzed via rigorous Renormalization Group (RG) methods combined with KAM techniques. The correlations are written in terms of an expansion whose convergence follows from number‐theoretical properties of the frequency and cancellations due to Pauli principle. A striking difference appears between spinless and spinning fermions; in the first case there are no relevant effective interactions while in presence of spin an additional relevant quartic term is present in the RG flow. The large distance exponential decay of the correlations present in the non interacting case, consequence of the single particle localization, is shown to persist in the spinning case only for temperatures greater than a power of the many body interaction, while in the spinless case this happens up to zero temperature. image