Critical Behavior of the Random Potts Chain

Abstract

We study the critical behavior of the random q-state Potts quantum chain by density matrix renormalization techniques. Critical exponents are calculated by scaling analysis of finite lattice data of short chains ($L\le 16$) averaging over all possible realizations of disorder configurations chosen according to a binary distribution. Our numerical results show that the critical properties of the model are independent of q in agreement with a renormalization group analysis of Senthil and Majumdar (Phys. Rev. Lett.{\bf 76}, 3001 (1996)). We show how an accurate analysis of moments of the distribution of magnetizations allows a precise determination of critical exponents, circumventing some problems related to binary disorder. Multiscaling properties of the model and dynamical correlation functions are also investigated.

LaTeX2e file with Revtex, 9 pages, 8 eps figures, 4 tables; typos corrected

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Cited by in corpus (8)

• The density-matrix renormalization group
• Strong disorder RG approach of random systems
• New Trends in Density Matrix Renormalization
• Disorder induced cross-over effects at quantum critical points
• Griffiths phase and critical behavior of the 2D Potts models with long-range correlated disorder
• Numerical evidence of the double-Griffiths phase of the random quantum Ashkin-Teller chain
• Hyperscaling violation in the 2D 8-state Potts model with long-range correlated disorder
• Numerical evidences of a universal critical behavior of 2D and 3D random quantum clock and Potts models