2006/11/30 by Kaj H. Hoglund, Kaj H. Höglund, Anders W. Sandvik +1 · 2 citations
Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Critical exponent #Delocalized electron #Heisenberg model #Impurity #Magnetic field #Magnetization #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Scaling #Spin (aerodynamics) #Spins #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.98.087203
published as Phys. Rev. Lett. 98, 087203 (2007) · 4 pages, 3 figures. Published version
openalex publication_date 2007/02/22 · arxiv created 2007/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe the uniform and staggered magnetization distributions around a vacancy in a quantum critical two-dimensional S=1/2 antiferromagnet. The distributions are delocalized across the entire sample with a universal functional form arising from an uncompensated Berry phase. The numerical results, obtained using quantum Monte Carlo simulations of the Heisenberg model on bilayer lattices with up to approximately equal to 10(5) spins, are in good agreement with the proposed scaling structure. We determine the exponent eta' = 0.40+/-0.02, which governs both the staggered and uniform magnetic structure away from the impurity and also controls the impurity spin dynamics.