Disorder Induced Phase Transition in a Random Quantum Antiferromagnet

Abstract

A two-dimensional Heisenberg model with random antiferromagnetic nearest-neighbor exchange is studied using quantum Monte Carlo techniques. As the strength of the randomness is increased, the system undergoes a transition from an antiferromagnetically ordered ground state to a gapless disordered state. The finite-size scaling of the staggered structure factor and susceptibility is consistent with a dynamic exponent $z=2$.

Revtex 3.0, 10 pages + 5 postscript figures available upon request, UCSBTH-94-16

References in corpus (5)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Order-Disorder Transition in a Two-Layer Quantum Antiferromagnet
• Zero--Temperature Quantum Phase Transition of a Two--Dimensional Ising Spin--Glass
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures

Cited by in corpus (19)

• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• Classical percolation transition in the diluted two-dimensional S=1/2 Heisenberg antiferromagnet
• Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice
• Diluted quantum antiferromagnets: spin excitations and long-range order
• Random-exchange quantum Heisenberg antiferromagnets on the square lattice
• Quantum vs. Geometric Disorder in a Two-Dimensional Heisenberg Antiferromagnet
• Magnetic Correlations in the Two Dimensional Anderson-Hubbard Model
• Ordering near the percolation threshold in models of 2D interacting bosons with quenched dilution
• Spin Dependence of the Critical Concentration for the Neel State of 2D Impure Heisenberg Antiferromagnets
• Neutron Scattering, Magnetometry, and Quantum Monte Carlo Study of the Randomly-Diluted Spin-1/2 Square-Lattice Heisenberg Antiferromagnet
• High-resolution real-space evaluation of the self-energy operator of disordered lattices: Gade singularity, spin-orbit effects and p-wave superconductivity
• Site Dilution in the Half-Filled One-Band Hubbard Model: Ring Exchange, Charge Fluctuations and Application to La2Cu_{1-x}(Mg/Zn)_xO4
• New quantum Monte Carlo study of quantum critical phenomena with Trotter-number-dependent finite-size scaling and non-equilibrium relaxation
• Disorder and Impurities in Hubbard-Antiferromagnets
• The Double-Time Green's Function Approach to the Two-Dimensional Heisenberg Antiferromagnet with Broken Bonds
• Classical Correlation-Length Exponent in Non-Universal Quantum Phase Transition of Diluted Heisenberg Antiferromagnet
• Dynamical scaling behavior of the two-dimensional random singlet state in the random $Q$ model
• Ground-State Phase Diagram of the Two-Dimensional Quantum Heisenberg Mattis Model