Crossover Behavior from Decoupled Criticality

Abstract

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.

10 pages, 3 figures; added references

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Cited by in corpus (7)

• Detecting signals of weakly first-order phase transitions in two-dimensional Potts models
• Dimensional crossover in the quasi-two-dimensional Ising-O(3) model
• Phases and phase transitions of a perturbed Kekulé-Kitaev model
• Stiffness from Disorder in Triangular-Lattice Ising Thin Films
• High temperature non-collinear magnetism in a classical bilinear-biquadratic Heisenberg model
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Phase diagram and the strong-coupling fixed point in the disordered O(n) loop model