Dimer Expansion Study of the Bilayer Square Lattice Frustrated Quantum Heisenberg Antiferromagnet.

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  • Hida Kazuo
    Department of Physics, Faculty of Science, Saitama University, Urawa, Saitama 338–8570

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  • Dimer Expansion Study of the Bilayer Sq

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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-gapphase and the magnetically ordered phase is determined from the poles of thebiased Padé approximants for the susceptibility and the inverse energy gapassuming the universality class of the 3-dimensional classical Heisenbergmodel. For weak frustration, the critical interlayer coupling decreaseslinearly with α (= J_2/J_1). The spin-gap phase persists down toJ_3=0 (single layer limit) for 0.45 <~ α <~ 0.65. Thecrossover of the short range order within the disordered phase is alsodiscussed.

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