Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1997-12-26
J. Phys. Soc. Jpn. 67 (1998) 1540
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 6 figures, One reference added
Scientific paper
10.1143/JPSJ.67.1540
The ground state of the square lattice bilayer quantum antiferromagnet with nearest ($J_1$) and next-nearest ($J_2$) neighbour intralayer interaction is studied by means of the dimer expansion method up to the 6-th order in the interlayer exchange coupling $J_3$. The phase boundary between the spin-gap phase and the magnetically ordered phase is determined from the poles of the biased Pad\'e approximants for the susceptibility and the inverse energy gap assuming the universality class of the 3-dimensional classical Heisenberg model. For weak frustration, the critical interlayer coupling decreases linearly with $\alpha (= J_2/J_1)$. The spin-gap phase persists down to $J_3=0$ (single layer limit) for $0.45 \simleq \alpha \simleq 0.65$. The crossover of the short range order within the disordered phase is also discussed.
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