Ising magnets with mobile defects

Abstract

Motivated by recent experiments on cuprates with low-dimensional magnetic interactions, a new class of two-dimensional Ising models with short-range interactions and mobile defects is introduced and studied. The non-magnetic defects form lines, which, as temperature increases, first meander and then become unstable. Using Monte Carlo simulations and analytical low- and high-temperature considerations, the instability of the defect stripes is monitored for various microscopic and thermodynamic quantities in detail for a minimal model, assuming some of the couplings to be indefinitely strong. The robustness of the findings against weakening the interactions is discussed as well.

Cited by in corpus (15)

• Using the Wigner-Ibach Surmise to Analyze Terrace-Width Distributions: History, User's Guide, and Advances
• Uniaxially anisotropic antiferromagnets in a field on a square lattice
• Phase diagrams of a classical two-dimensional Heisenberg antiferromagnet with single-ion anisotropy
• Monte Carlo studies of extensions of the Blume-Emery-Griffiths model
• Biconical structures in two-dimensional anisotropic Heisenberg antiferromagnets
• Quenched charge disorder in CuO2 spin chains: Experimental and numerical studies
• Effects of hole-doping on the magnetic ground state and excitations in the edge-sharing CuO${}_2$ chains of Ca${}_{2+x}$Y${}_{2-x}$Cu${}_5$O${}_{10}$
• Ising model with periodic pinning of mobile defects
• Ground-state phases in antiferromagnetic spin-crossover chains
• Comment on "Frustrating interactions and broadened magnetic interactions in the edge-sharing CuO_2 chains in La_5 Ca_9 Cu_24 O_41"
• Dynamic Phase Transition in 2D Ising Systems: Effect of Anisotropy and Defects
• Exact diagonalization studies of doped Heisenberg spin rings
• Strong Coulomb effects in hole-doped Heisenberg chains
• Ising and anisotropic Heisenberg magnets with mobile defects
• Itinerant electrons on dilute frustrated Ising lattices