Magnetic properties of exactly solvable doubly decorated Ising-Heisenberg planar models

2002/02/28 by Jozef Strečka, Jozef Strecka, Michal Jascur +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Antiferromagnetism #Class (philosophy) #Computer science #Ground state #Heisenberg model #Ising model #Mathematical physics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Planar #Quantum #Quantum many-body systems #Quantum mechanics #Theoretical physics #Type (biology) #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.66.174415

published as Phys. Rev. B 66 (2002) 174415 · 9 pages, 9 figures, submitted to Physical Review B

arxiv created 2002/07/24 · openalex publication_date 2002/11/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Applying the decoration-iteration procedure, we introduce a class of exactly solvable doubly decorated planar models consisting both of the Ising- and Heisenberg-type atoms. Exact solutions for the ground state, phase diagrams, and basic physical quantities are derived and discussed. The detailed analysis of the relevant quantities suggests the existence of an interesting quantum antiferromagnetic phase in the system.

Citations

• Transformations of Ising Models
• Renormalization of the NonlinearσModel in2+εDimensions—Application to the Heisenberg Ferromagnets
• Beitrag zur Theorie des Ferromagnetismus
• Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
• Phase transitions in the spin-halfJ1−J2model

Cited by

• Existence of a magnetization plateau in a class of exactly solvable Ising–Heisenberg chains