Random-exchange quantum Heisenberg antiferromagnets on the square lattice

Abstract

The ground state properties of random-exchange spin-1/2 Heisenberg antiferromagnets on the square lattice are investigated using a combination of quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations. Whereas arbirarily weak disorder has a drastic effect on 1d Heisenberg AFM, we find that in two dimensions the characteristics of the ground state like long-range order is robust even against strong disorder. While the antiferromagnetic order parameter and the spin stiffness are exponentially reduced for singular exchange distributions, they vanish only in the limit of infinite randomness.

References in corpus (23)

• Quantum Monte Carlo with Directed Loops
• Spin waves and electronic interactions in La2CuO4
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Infinite-randomness quantum Ising critical fixed points
• Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions
• Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
• Quantum Impurities in the Two-Dimensional Spin One-Half Heisenberg Antiferromagnet
• Classical percolation transition in the diluted two-dimensional S=1/2 Heisenberg antiferromagnet
• Direct Calculation of the Spin Stiffness in the $J_1$--$J_2$ Heisenberg Antiferromagnet
• Instantaneous Spin Correlations in La2CuO4
• Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice
• Low-energy fixed points of random Heisenberg models
• Quantum Fluctuations and Excitations in Antiferromagnetic Quasicrystals
• Weakly disordered spin ladders
• Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
• Strongly disordered spin ladders
• Upper Bounds on the Superfluid Stiffness of Disordered Systems
• Excitations and Quantum Fluctuations in Site Diluted Two-Dimensional Antiferromagnets
• Disorder Induced Phase Transition in a Random Quantum Antiferromagnet
• Comment on ``Quantum Phase Transition of the Randomly Diluted Heisenberg Antiferromagnet on a Square Lattice''
• Comment on "Disorder Induced Quantum Phase Transition in Random-Exchange Spin-1/2 Chains"
• Thermodynamics of strongly disordered spin ladders
• Reply to Comment on "Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice"

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