2004/05/31 by H. Obuse, K. Yakubo · 6 citations
Mathematics · Physics and Astronomy · #Anderson impurity model #Correlation #Correlation function (quantum field theory) #Critical exponent #Critical point (mathematics) #Exponent #Quantum and electron transport phenomena #Quantum critical point #Quantum many-body systems #Quantum phase transition #Scaling #Spectral Theory in Mathematical Physics #cond-mat.dis-nn
paper · pdf · doi:10.1143/jpsj.73.2164
published in Journal of the Physical Society of Japan 73(8), 2164-2168 (Physical Society of Japan) · 6 pages, 3 figures
arxiv created 2004/08/11 · openalex publication_date 2004/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the box-measure correlation function of quantum states at the Anderson transition point with taking care of anomalously localized states (ALS). By eliminating ALS from the ensemble of critical wavefunctions, we confirm, for the first time, the scaling relation z(q)=d+2tau(q)-tau(2q) for a wide range of q, where q is the order of box-measure moments and z(q) and tau(q) are the correlation and the mass exponents, respectively. The influence of ALS to the calculation of z(q) is also discussed.