2004/09/30 by V. Thanh Ngo, H. T. Diep · 31 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Anisotropy #Antiferromagnetism #Complex Systems and Time Series Analysis #Condensed matter physics #Critical exponent #Ferromagnetism #Frustration #Heisenberg model #Ising model #Phase transition #Physics #Quantum mechanics #Renormalization group #Spins #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.75.035412
published in Physical Review B 75(3) (American Physical Society) · 9 pages, 16 figures
arxiv created 2006/11/29 · openalex publication_date 2007/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study by extensive Monte Carlo (MC) simulations and analytical Green's function (GF) method effects of frustrated surfaces on the properties of thin films made of stacked triangular layers of atoms bearing Heisenberg spins with an Ising-like interaction anisotropy. We suppose that the in-plane surface interaction Js can be antiferromagnetic or ferromagnetic while all other interactions are ferromagnetic. We show that the ground-state spin configuration is nonlinear when Js is lower than a critical value Jsc. The film surfaces are then frustrated. In the frustrated case, there are two phase transitions related to disorderings of surface and interior layers. There is a good agreement between MC and GF results. In addition, we show from MC histogram calculations that the value of the ratio of critical exponents \ensuremathγ∕\ensuremathν of the observed transitions is deviated from the values of two and three Ising universality classes. The origin of this deviation is discussed with general physical arguments.