Quantum-criticality and percolation in dimer-diluted 2D antiferromagnets

Abstract

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value of g=J2/J1. The systems are here studied at their dimer-dilution percolation points p*. The multi-critical point (g*,p*) previously found for the bilayer is not reproduced for the single layer. Instead, there is line of critical points (g < g*,p*) with continuously varying exponents. The uniform magnetic susceptibility diverges as 1/T^a $ with a in the range [1/2,1]. This unusual behavior is attributed to an effective free-moment density T^(1-a). The susceptibility of the bilayer is not divergent but exhibits remarkably robust quantum-critical scaling.

4 pages, 4 figures. v2: minor changes, published version

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• Quantum phase transitions of the diluted O(3) rotor model
• Nature of the low-energy excitations of two-dimensional diluted Heisenberg quantum antiferromagnets
• Quantum phase transitions in disordered dimerized quantum spin models and the Harris criterion
• Magnetic Correlations in a Periodic Anderson Model with Non-Uniform Conduction Electron Coordination
• Strong disorder renormalization group study of S=1/2 Heisenberg antiferromagnet layers/bilayers with bond randomness, site dilution and dimer dilution
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Highly Dispersive Scattering From Defects In Non-Collinear Magnets
• Hilbert Space Fragmentation and Ashkin-Teller Criticality in Fluctuation Coupled Ising Models
• Magnetic susceptibility and heat capacity of a novel antiferromagnet: LiNi2P3O10 and the effect of doping
• Criticality and Mott-glass phase in a disordered 2D quantum spin systems
• Impurity-Induced Antiferromagnetic Domains in the Periodic Anderson Model
• Universal scalings of Néel temperature, staggered magnetization density, and spinwave velocity of three-dimensional disordered and clean quantum antiferromagnets
• Dynamic structure factor of Heisenberg bilayer dimer phases in the presence of quenched disorder and frustration
• Validity of Harris criterion for two-dimensional quantum spin systems with quenched disorder
• Universal quantum criticality at finite temperature for two-dimensional disordered and clean dimerized spin-$\frac{1}{2}$ antiferromagnets
• Quantum transition between magnetically ordered and Mott glass phases
• Mott glass phase in a diluted bilayer Heisenberg quantum antiferromagnet
• Quantum transitions from superfluid to insulating phases in disordered Bose systems
• Ground state energy density, susceptibility, and Wilson ratio of a two-dimensional disordered quantum spin system
• Quadrupolar quantum criticality on a fractal