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n this work we investigate the phase behavior of a family of continuous bidimensional n-vector models (with n=2, 3, and 4) using Monte Carlo simulation. In all cases we detect the presence of a defect mediated order-disorder transition of the Berezinskii-Kosterlitz-Thouless type with critical temperatures that decrease with the spin dimensionality. Coupled with the order-disorder transition a gas-liquid equilibrium is found at low temperatures. Here one observes that the stability region of the liquid phase shrinks with the growing spin dimensionality, in parallel with a decrease in magnitude of the angular averaged spin-spin interaction.\ud\ud©2007 The American Physical SocietyDirección General de Investigación Científica y\udTécnica under Grant No. FIS2004-02954-C03-01 \ud\udDirección General de Universidades e Investigación de la\udComunidad de Madrid under Grant No. S0505/ESP/0299, program MOSSNOHO-CM.Peer reviewe

physical review e

Phase behavior of a family of continuous two-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-vector models with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>, 3, and 4

Phase behavior of a family of continuous two-dimensionaln-vector models withn=2, 3, and 4