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Critical Behavior of the Random Potts Chain

Enrico Carlon·Christophe Chatelain·Bertrand Berche
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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 ($L \leq 16$) 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.

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Enrico Carlon, Christophe Chatelain, Bertrand Berche. 1999-06-07. Critical Behavior of the Random Potts Chain. https://doi.org/10.1103/physrevb.60.12974

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