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

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

2006-03-07

arxiv.org/abs/cond-mat/0603179v2

Phys. Rev. Lett. 96, 207201 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevLett.96.207201

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.

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