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Dynamical generation of a gauge symmetry in the Double-Exchange model

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arxiv hep-lat/0301004 v2 pith:HX5R3JAJ submitted 2003-01-08 hep-lat cond-mat

Dynamical generation of a gauge symmetry in the Double-Exchange model

J.M. Carmona , A. Cruz , L.A. Fernandez , S. Jimenez , V. Martin-Mayor , A. Munoz-Sudupe , J. Pech , J.J. Ruiz-Lorenzo
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A. Tarancon P. Tellez
This is my paper
classification hep-lat cond-mat
keywords modelphaseuniversalityantiferromagneticclassdouble-exchangelinemodels
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It is shown that a bosonic formulation of the double-exchange model, one of the classical models for magnetism, generates dynamically a gauge-invariant phase in a finite region of the phase diagram. We use analytical methods, Monte Carlo simulations and Finite-Size Scaling analysis. We study the transition line between that region and the paramagnetic phase. The numerical results show that this transition line belongs to the Universality Class of the Antiferromagnetic RP(2) model. The fact that one can define a Universality Class for the Antiferromagnetic RP(2) model, different from the one of the O(N) models, is puzzling and somehow contradicts naive expectations about Universality.

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