Journal
PHYSICAL REVIEW E
Volume 70, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.70.066203
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We study spectral statistics of one-dimensional quasiperiodic systems at the metal-insulator transition. Several types of spectral statistics are observed at the critical points, lines, and region. On the critical lines, we find the bandwidth distribution P-B(w) around the origin (in the tail) to have the form of P-B(w)similar tow(alpha)[P-B(w)similar toe(-betawgamma)] (alpha,beta,gamma>0), while in the critical region P-B(w)similar tow(-alpha') (alpha(')>0). We also find the level spacing distribution to follow an inverse power law P-G(s)similar tos(-delta) (delta>0).
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