There exists strong experimental evidence for the dimensional crossover from two to three dimensions as ${\mathrm{La}}_{2\mathrm{-}\mathit{x}}$${\mathrm{Sr}}_{\mathit{x}}$${\mathrm{CuO}}_4$ compounds are overdoped. In this paper we describe the dimensional crossover of the layered correlated metal in the gauge theory framework. In particular, we obtain the anomalous exponent 3/2 for the temperature dependence of resistivity observed in overdoped ${\mathrm{La}}_{2\mathrm{-}\mathit{x}}$${\mathrm{Sr}}_{\mathit{x}}$${\mathrm{CuO}}_4$. © 1996 The American Physical Society.

• Received 12 January 1996

DOI:https://doi.org/10.1103/PhysRevB.53.11817