Structure factors associated with melting of a p(22) ordered phase on a honeycomb lattice gas: Possible critical scattering at a first-order transition
- 1 May 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 35 (13), 6786-6791
- https://doi.org/10.1103/physrevb.35.6786
Abstract
We study the order-disorder transition of a p(2×2) ordered state on a honeycomb lattice using Monte Carlo calculations of the structure factor. We observe a correlation length which gets large as the transition is approached; the effective critical exponents are close to the exponents characterizing a discontinuity fixed point and similar to those we observe for the first-order transition of the eight-state Potts model. We also discuss how observation of the outer integral-order diffraction beams gives information about the relevance of the field which distinguishes the two triangular sublattices of the honeycomb lattice.Keywords
This publication has 24 references indexed in Scilit:
- Structure factors associated with the continuous melting of two-dimensional lattice gases: Models with (√3×√3)R30° andp(2×2) ordered states on triangular netsPhysical Review B, 1987
- Finite-size effects at temperature-driven first-order transitionsPhysical Review B, 1986
- Finite-size scaling at first-order phase transitionsPhysical Review B, 1984
- Applications of the Monte Carlo Method in Statistical PhysicsPublished by Springer Nature ,1984
- Summary Abstract: (2×2) phase transitions on honeycomb latticesJournal of Vacuum Science & Technology A, 1983
- -color Ashkin-Teller modelPhysical Review B, 1981
- Oxygen on Ni(111): A Transition of the Heisenberg Model with Cubic AnisotropyPhysical Review Letters, 1981
- Roelofs, Bartelt, and Einstein RespondPhysical Review Letters, 1981
- Critical Exponents of a Four-State Potts Chemisorbed Overlayer:Oxygen on Ni(111)Physical Review Letters, 1981
- Static and dynamic critical phenomena of the two-dimensionalq-state Potts modelJournal of Statistical Physics, 1981