The transition from an ordered antiferromagnet to a quantum disordered spin liquid in a solvable bilayer model

Abstract

We present a spin-1/2 bilayer model for the quantum order-disorder transition which (i) can be solved by mean-field theory for bulk quantities, (ii) becomes critical at the transition, and (iii) allows to include intralayer frustration. We present numerical data (for systems with up to 240 sites) and analytical results for the critical coupling strength, ground-state energy, order parameter and for the gap. We show that the critical coupling decreases linearly with frustration.

Europhys. Lett., in press. Figures available by mail

References in corpus (4)

• Spin Gaps and Spin Dynamics in La_{2-x}Sr_xCuO_4 and YBa_2Cu_3O7_δ
• Order-Disorder Transition in a Two-Layer Quantum Antiferromagnet
• Scaling Regimes, Crossovers, and Lattice Corrections in 2D Heisenberg Antiferromagnets
• Integrable models of interacting quantum spins with competing interactions

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• Phase diagram of the square lattice bilayer Hubbard model: a variational Monte Carlo study
• Influence of quantum fluctuations on zero-temperature phase transitions between collinear and noncollinear states in frustrated spin systems
• Frustrated diamond-chain quantum $XXZ$ Heisenberg antiferromagnet in a magnetic field
• Influence of Ising-anisotropy on the zero-temperature phase transition in the square lattice spin-1/2 J-J' model
• Influence of the spin quantum number $s$ on the zero-temperature phase transition in the square lattice $J$-$J^{\prime }$ model
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