6533b872fe1ef96bd12d2f02
RESEARCH PRODUCT
Monte Carlo study of surface critical behavior in the XY model.
Kurt BinderRas B. PandeyDavid P. Landausubject
Coupling constantPhysicsHybrid Monte CarloCondensed matter physicsQuantum Monte CarloDynamic Monte Carlo methodDiffusion Monte CarloClassical XY modelCoupling (probability)Critical exponentMathematical physicsdescription
We have used Monte Carlo simulations to study the behavior of $L\ifmmode\times\else\texttimes\fi{}L\ifmmode\times\else\texttimes\fi{}D$ slabs containing classical spins which interact via nearest-neighbor $\mathrm{XY}$ coupling. The coupling constant ${J}_{S}$ for spins in the surface layer is fixed at $0.5J$. Finite-size scaling is used to analyze data for $D=59$ and to extract estimates for the surface critical exponents. We find that ${\ensuremath{\beta}}_{1}$ is in good agreement with theoretical predictions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1989-06-01 | Physical review. B, Condensed matter |