Various series expansions for the bilayer S=1/2 Heisenberg antiferromagnet

Details Various series expansions for the bilayer S=1/2 Heisenberg antiferromagnet Various series expansions for the bilayer S=1/2 Heisenberg antiferromagnet

1997-01-30

arxiv.org/abs/cond-mat/9701214v1

Physical Review B55, 12267(1997)

Physics

Condensed Matter

Strongly Correlated Electrons

RevTeX, 9 figures

Scientific paper

10.1103/PhysRevB.55.12267

Various series expansions have been developed for the two-layer, S=1/2, square lattice Heisenberg antiferromagnet. High temperature expansions are used to calculate the temperature dependence of the susceptibility and specific heat. At T=0, Ising expansions are used to study the properties of the N\'{e}el-ordered phase, while dimer expansions are used to calculate the ground-state properties and excitation spectra of the magnetically disordered phase. The antiferromagnetic order-disorder transition point is determined to be $(J_2/J_1)_c=2.537(5)$. Quantities computed include the staggered magnetization, the susceptibility, the triplet spin-wave excitation spectra, the spin-wave velocity, and the spin-wave stiffness. We also estimates that the ratio of the intra- and inter-layer exchange constants to be $J_2/J_1\simeq 0.07$ for cuprate superconductor $YBa_2Cu_3O_{6.2}$.

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