title: Computational study of a multistep height model.
abstract: An equilibrium random surface multistep height model proposed in [Abraham and Newman, EPL 86, 16002 (2009)] is studied using a variant of the worm algorithm. In one limit, the model reduces to the two-dimensional Ising model in the height representation. When the Ising model constraint of single height steps is relaxed, the critical temperature and critical exponents are continuously varying functions of the parameter controlling height steps larger than one. Numerical estimates of the critical exponents can be mapped via a single parameter, the Coulomb gas coupling, to the exponents of the O(n) loop model on the honeycomb lattice with n ≤ 1.
authors.affiliation: Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA. matt.drake88@gmail.com
authors.forename: Matthew
authors.initials: M
authors.lastname: Drake
authors.forename: Jonathan
authors.initials: J
authors.lastname: Machta
authors.forename: Youjin
authors.initials: Y
authors.lastname: Deng
authors.forename: Douglas
authors.initials: D
authors.lastname: Abraham
authors.forename: Charles
authors.initials: C
authors.lastname: Newman
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical