Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-07-10
Phys. Rev. B 74, 064407 (2006)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 11 figures
Scientific paper
10.1103/PhysRevB.74.064407
By considering the appropriate finite-size effect, we explain the connection between Monte Carlo simulations of two-dimensional anisotropic Heisenberg antiferromagnet in a field and the early renormalization group calculation for the bicritical point in $2+\epsilon$ dimensions. We found that the long length scale physics of the Monte Carlo simulations is indeed captured by the anisotropic nonlinear $\sigma$ model. Our Monte Carlo data and analysis confirm that the bicritical point in two dimensions is Heisenberg-like and occurs at T=0, therefore the uncertainty in the phase diagram of this model is removed.
Landau David. P.
Schulthess Thomas C.
Zhou Chenggang
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