Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice

Abstract

Ground-state magnetic properties of the diluted Heisenberg antiferromagnet on a square lattice are investigated by means of the quantum Monte Carlo method with the continuous-time loop algorithm. It is found that the critical concentration of magnetic sites is independent of the spin size S, and equal to the two-dimensional percolation threshold. However, the existence of quantum fluctuations makes the critical exponents deviate from those of the classical percolation transition. Furthermore, we found that the transition is not universal, i.e., the critical exponents significantly depend on S.

RevTeX, 4 pages including 5 EPS figures

References in corpus (3)

• The Two-Dimensional S=1 Quantum Heisenberg Antiferromagnet at Finite Temperatures
• Effective Field Theory for Layered Quantum Antiferromagnets with Non-Magnetic Impurities
• Spin Dependence of the Critical Concentration for the Neel State of 2D Impure Heisenberg Antiferromagnets

Cited by in corpus (46)

• Quantum Monte Carlo with Directed Loops
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Strong disorder RG approach of random systems
• Quantum Impurities in the Two-Dimensional Spin One-Half Heisenberg Antiferromagnet
• Classical percolation transition in the diluted two-dimensional S=1/2 Heisenberg antiferromagnet
• Diluted quantum antiferromagnets: spin excitations and long-range order
• Low-energy fixed points of random Heisenberg models
• Multi-critical point in a diluted bilayer Heisenberg quantum antiferromagnet
• Site-Dilution-Induced Antiferromagnetic Long-Range Order in Two-Dimensional Spin-Gapped Heisenberg Antiferromagnet
• Neel order in doped quasi one-dimensional antiferromagnets
• Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model
• Random-exchange quantum Heisenberg antiferromagnets on the square lattice
• Mott glass in site-diluted S=1 antiferromagnets with single-ion anisotropy
• Percolation quantum phase transitions in diluted magnets
• Quantum vs. Geometric Disorder in a Two-Dimensional Heisenberg Antiferromagnet
• Antiferromagnetism of Zn${}_2$VO(PO${}_4{)}_2$ and the dilution with Ti${}^{4+}$
• Nature of the low-energy excitations of two-dimensional diluted Heisenberg quantum antiferromagnets
• Quantum-criticality and percolation in dimer-diluted 2D antiferromagnets
• Long-range order and low-energy spectrum of diluted 2D quantum AF
• Dilution effects in spin 7/2 systems. The case of the antiferromagnet GdRhIn${}_5$
• Low-energy dynamics of the two-dimensional S=1/2 Heisenberg antiferromagnet on percolating clusters
• Comment on ``Quantum Phase Transition of the Randomly Diluted Heisenberg Antiferromagnet on a Square Lattice''
• Disorder Induced Quantum Phase Transition in Random-Exchange Spin-1/2 Chains
• Impurity-induced frustration in correlated oxides
• Quantum disorder and Griffiths singularities in bond-diluted two-dimensional Heisenberg antiferromagnets
• Neutron Scattering, Magnetometry, and Quantum Monte Carlo Study of the Randomly-Diluted Spin-1/2 Square-Lattice Heisenberg Antiferromagnet
• Collective effects in spin-crossover chains with exchange interaction
• Colorful points in the XY regime of XXZ quantum magnets
• Criticality and Mott-glass phase in a disordered 2D quantum spin systems
• Site Dilution in the Half-Filled One-Band Hubbard Model: Ring Exchange, Charge Fluctuations and Application to La2Cu_{1-x}(Mg/Zn)_xO4
• Reentrant magnetic ordering and percolation in a spin-crossover system
• Ground-state phases in antiferromagnetic spin-crossover chains
• Antiferromagnetism beyond classical percolation threshold in the site-diluted half-filled one-band Hubbard model in three dimensions
• Impurity-induced frustration: low-energy model of diluted oxides
• Improved chain mean-field theory for quasi-one-dimensional quantum magnets
• Reply to Comment on "Quantum Phase Transition of Randomly-Diluted Heisenberg Antiferromagnet on a Square Lattice"
• Theoretical Analysis of the Reduction of Neel Temperature in La${}_2$(Cu${}_{1-x}$Zn(or Mg)${}_x)$O${}_4$
• Entanglement perturbation theory for the quantum ground states in two dimensions
• Geometry fluctuations in a two-dimensional quantum antiferromagnet
• Geometry fluctuations and Casimir effect in a quantum antiferromagnet
• Classical Correlation-Length Exponent in Non-Universal Quantum Phase Transition of Diluted Heisenberg Antiferromagnet
• Bond-Dilution-Induced Quantum Phase Transitions in Heisenberg Antiferromagnets
• Antiferromagnets with random vacancies and substitutional spins on the triangular lattice
• Magnetic properties of LiCu${}_3$O${}_3$ -- quasi-two-dimensional antiferromagnet on depleted square lattice
• Topological doping of repulsive Hubbard models
• Effect of impurities on quasi-2D quantum antiferromagnet