Magnetization process in the classical Heisenberg model on the Shastry-Sutherland lattice

2008/09/30 by M. Moliner, D. C. Cabra, A. Honecker +3 · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Antiferromagnetism #Complex Systems and Time Series Analysis #Condensed matter physics #Heisenberg model #Lattice (music) #Magnetic field #Magnetization #Mathematics #Monte Carlo method #Phase (matter) #Phase diagram #Physics #Quantum many-body systems #Quantum mechanics #Spins #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.79.144401

published as Phys. Rev. B 79, 144401 (2009) · 9 pages, 11 figures

openalex publication_date 2009/04/02 · arxiv created 2009/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate classical Heisenberg spins on the Shastry-Sutherland lattice and under an external magnetic field. A detailed study is carried out both analytically and numerically by means of classical Monte Carlo simulations. Magnetization pseudoplateaus are observed around 1/3 of the saturation magnetization for a range of values of the magnetic couplings. We show that the existence of the pseudoplateaus is due to an entropic selection of a particular collinear state. A phase diagram that shows the domains of existence of those pseudoplateaus in the (h,T) plane is obtained.

Citations

• Phase diagram of the quadrumerized Shastry-Sutherland model
• AnXYcheckerboard antiferromagnet in an external field
• Quantum vs Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
• Zambezi River Authority
• The critical properties of the two-dimensional xy model
• Influence of lattice distortions in classical spin systems
• Field Induced Ordering in Highly Frustrated Antiferromagnets
• Ordering, metastability and phase transitions in two-dimensional systems
• Mersenne twister
• Some generalized order-disorder transformations

Cited by

• Magnetization plateaus and phase diagrams of the extended Ising model on the Shastry-Sutherland lattice: Effects of long-range interactions

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