Hall response of strongly correlated electrons

Theoretical understanding and the calculation of the Hall response of strongly correlated electrons is addressed. It is shown that the Hall constant R-H in a tight-binding model of correlated electrons on a ladder at T = 0 can be 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 hole-like and close to the semiclassical value. 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. The study is extended to general reactive Hall response and consequently to quasi-1D systems where R-H can be simply related to 1-D charge stiffness of the system.