Crossover Behavior from Decoupled Criticality

Details Crossover Behavior from Decoupled Criticality Crossover Behavior from Decoupled Criticality

2010-03-08

arxiv.org/abs/1003.1639v3

Phys. Rev. B 82, 054426 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 3 figures; added references

Scientific paper

10.1103/PhysRevB.82.054426

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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