Hall Constant of Strongly Correlated Electrons on a Ladder

Abstract

The Hall constant ${R}_{H}$ in a tight-binding model of correlated electrons on a ladder at $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0$ is expressed in terms of derivatives of the ground state energy with respect to external magnetic and electric fields. This novel method is used for the analysis of the $t$- $J$ model on finite size ladders. It is found that for a single hole ${R}_{H}$ is holelike and close to the semiclassical value, while for two holes it can vary with ladder geometry. In odd-leg ladders, ${R}_{H}$ behaves quite regularly changing sign as a function of doping, the variation being quantitatively close to experimental results in cuprates.