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Localization transition in the Mermin model

Gregory Levine·V. N. Muthukumar
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Abstract

We study the dynamical properties of the Mermin model, a simple quantum dissipative model with a monochromatic environment, using analytical and numerical methods. Our numerical results show that the model exhibits a second order phase transition to a localized state before which the system is effectively decoupled from the environment. In contrast to the spin-boson model, the Mermin model exhibits an ``orthogonality catastrophe,'' defining the critical point, before dissipation has destroyed all coherent behavior. An analytic approach based on the Liouvillian technique, though successful in describing the phase diagram of spin-boson and related models, fails to capture this essential feature of the Mermin model.

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Gregory Levine, V. N. Muthukumar. 2001-03-06. Localization transition in the Mermin model. https://doi.org/10.1103/physrevb.63.245112

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