Nonlinear bond-operator theory and 1/d expansion for coupled-dimer magnets. I. Paramagnetic phase

Article

关键词: QUANTUM HEISENBERG ANTIFERROMAGNETS;    MEAN-FIELD THEORY;    PERTURBATION-THEORY;    SPIN-LIQUID;    EXCITATIONS;    SYSTEMS;    FRUSTRATION;    DIMENSIONS;    STATES;    LADDER;   

DOI  :  10.1103/PhysRevB.91.094404

来源: SCIE

【 摘 要 】

For coupled-dimer Heisenberg magnets, a paradigm of magnetic quantum phase transitions, we develop a systematic expansion in 1/d, the inverse number of space dimensions. The expansion employs a formulation of the bond-operator technique and is based on the observation that a suitably chosen product-state wave function yields exact zero-temperature expectation values of local observables in the d -> infinity limit, with corrections vanishing as 1/d. We demonstrate the approach for a model of dimers on a hypercubic lattice, which generalizes the square-lattice bilayer Heisenberg model to arbitrary d. In this paper, we use the 1/d expansion to calculate static and dynamic observables at zero temperature in the paramagnetic singlet phase, up to the quantum phase transition, and compare the results with numerical data available for d = 2. Contact is also made with previously proposed refinements of bond-operator theory as well as with a perturbative expansion in the interdimer coupling. In a companion paper, the present 1/d expansion will be extended to the ordered phase, where it is shown to consistently describe the entire phase diagram including the quantum critical point.

【 授权许可】

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