Abstract
Dimensional crossover in the Kondo necklace model is analyzed using the bond-operatormethod at zero and finite temperatures. Explicit relations describing quasi-two-dimensionalproperties are obtained by asymptotically solving the resulting equations. The crossoverfrom two dimensions (2d) to three dimensions (3d) is investigated, turning on the electronichopping () of conduction electrons between different planes. In order to give continuity to ouranalysis, both cases of crossover, quasi-three-dimensional (q3d) and quasi-one-dimensional(q1d), are also investigated. The phase diagram as a function of temperatureT, and , where is the hopping within the planes, is calculated. Unusual reentrant behavior in thetemperature-dependent antiferromagnetic critical line is found close to two dimensions.Near the isotropic three-dimensional quantum critical point the critical line is described bya standard power law with a square root dependence on the distance to the quantumcritical point.
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