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• W2016048950 abstract "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 $densuremath{rightarrow}ensuremath{infty}$ 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." @default.
• W2016048950 created "2016-06-24" @default.
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• W2016048950 date "2015-03-04" @default.
• W2016048950 modified "2023-10-16" @default.
• W2016048950 title "Nonlinear bond-operator theory and1/dexpansion for coupled-dimer magnets. I. Paramagnetic phase" @default.
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• W2016048950 doi "https://doi.org/10.1103/physrevb.91.094404" @default.
• W2016048950 hasPublicationYear "2015" @default.
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