Criticality of compact and noncompact quantum dissipative Z4 models in (1+1) dimensions

Einar B. Stiansen, Iver Bakken Sperstad, and Asle Sudbø
Phys. Rev. B 83, 115134 – Published 28 March 2011

Abstract

Using large-scale Monte Carlo computations, we study two versions of a (1+1)D Z4-symmetric model with ohmic bond dissipation. In one of these versions, the variables are restricted to the interval [0,2π, while the domain is unrestricted in the other version. The compact model features a completely ordered phase with a broken Z4 symmetry and a disordered phase, separated by a critical line. The noncompact model features three phases. In addition to the two phases exhibited by the compact model, there is also an intermediate phase with isotropic quasi-long-range order. We calculate the dynamical critical exponent z along the critical lines of both models to see if the compactness of the variable is relevant to the critical scaling between space and imaginary time. There appears to be no difference between the two models in that respect, and we find z1 for the single phase transition in the compact model as well as for both transitions in the noncompact model.

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  • Received 15 December 2010

DOI:https://doi.org/10.1103/PhysRevB.83.115134

©2011 American Physical Society

Authors & Affiliations

Einar B. Stiansen, Iver Bakken Sperstad, and Asle Sudbø

  • Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

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Vol. 83, Iss. 11 — 15 March 2011

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