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Crossover Behavior from Decoupled Criticality

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arxiv 1003.1639 v3 pith:XHRNOGGS submitted 2010-03-08 cond-mat.str-el cond-mat.stat-mech

Crossover Behavior from Decoupled Criticality

Yoshitomo Kamiya , Naoki Kawashima , C. D. Batista This is my paper
classification cond-mat.str-el cond-mat.stat-mech
keywords sublatticestransitionbehaviorcrossoverdecoupledexchangefirst-orderfixed
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We study the thermodynamic phase transition of a spin Hamiltonian comprising two 3D magnetic sublattices. Each sublattice contains XY spins coupled by the usual bilinear exchange, while spins in different sublattices only interact via biquadratic exchange. This Hamiltonian is an effective model for XY magnets on certain frustrated lattices such as body centered tetragonal. By performing a cluster Monte Carlo simulation, we investigate the crossover from the 3D-XY fixed point (decoupled sublattices) and find a systematic flow toward a first-order transition without a separatrix or a new fixed point. This strongly suggests that the correct asymptotic behavior is a first-order transition.

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