Effects of edge disorder in nano-scale antiferromagnetic clusters

Abstract

We study the distribution of local magnetic susceptibilities in the two-dimensional antiferromagnetic S=1/2 Heisenberg model on various random clusters, in order to determine whether effects of edge disorder could be detected in NMR experiments (through the line shape, as given by the distribution of local Knight shifts). Although the effects depend strongly on the nature of the edge and the cluster size, our results indicate that line widths broader than the average shift should be expected even in clusters as large as $\approx 1000$ lattice spacing in diameter. Experimental investigations of the NMR line width should give insights into the magnetic structure of the edges.

4 pages, 4 figures

References in corpus (18)

• Stochastic series expansion method with operator-loop update
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• The Loop Algorithm
• Cu NMR evidence for enhanced antiferromagnetic correlations around Zn impurities in YBa2Cu3O6.7
• Quantum Impurity in a Nearly Critical Two Dimensional Antiferromagnet
• Impurities in S=1/2 Heisenberg Antiferromagnetic Chains: Consequences for Neutron Scattering and Knight Shift
• Quantum Impurities in the Two-Dimensional Spin One-Half Heisenberg Antiferromagnet
• Quantum impurity in an antiferromagnet: non-linear sigma model theory
• Susceptibility of the 2D S=1/2 Heisenberg antiferromagnet with an impurity
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• Impurity effects at finite temperature in the two-dimensional S=1/2 Heisenberg antiferromagnet
• Spin Dynamics of La_2CuO_4 and the Two-Dimensional Heisenberg Model
• Impurity effects in coupled-ladder BiCu2PO6 studied by NMR and quantum Monte Carlo simulations
• Imaging bond order near non-magnetic impurities in square lattice antiferromagnets
• Knight shifts around vacancies in the 2D Heisenberg model
• Impurity-induced frustration in correlated oxides
• Edge and impurity response in two-dimensional quantum antiferromagnets
• Edge effects in the two-dimensional spin-1/2 Heisenberg antiferromagnet

Cited by in corpus (2)

• Bond Disorder in Even-Leg Heisenberg Ladders
• Smeared spin-flop transition in random antiferromagnetic Ising chain