Random-bond Ising chain in a transverse magnetic field: A finite-size scaling analysis |
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Authors: | A Crisanti H Rieger |
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Institution: | (1) Dipartimento di Fisica, Universita di Roma La Sapienza, 00185 Rome, Italy;(2) Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany |
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Abstract: | We investigate the zero-temperature quantum phase transition of the randombond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two dimensions with layered disorder. The latter is studied via Monte Carlo simulations and transfer matrix calculations and the critical exponents are determined with a finite-size scaling analysis. The magnetization and susceptibility obey conventional rather than activated scaling. We observe that the order parameter and correlation function probability distribution show a nontrivial scaling near the critical point, which implies a hierarchy of critical exponents associated with the critical behavior of the generalized correlation lengths. |
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Keywords: | Disordered systems quantum spins McCoy-Wu model finite-size scaling anisotropic correlations Monte Carlo simulations products of random matrices |
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