Theory of Low-Temperature Hall Effect in Electron-Doped Cuprates

Details Theory of Low-Temperature Hall Effect in Electron-Doped Cuprates Theory of Low-Temperature Hall Effect in Electron-Doped Cuprates

2005-07-13

arxiv.org/abs/cond-mat/0507310v1

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 10 figures

Scientific paper

10.1103/PhysRevB.72.214506

A mean field calculation of the $T\to 0$ limit of the Hall conductance of electron-doped cuprates such as $Pr_{2-x}Ce_xCuO_{4+\delta}$ is presented. The data are found to be qualitatively consistent with the reconstruction of the Fermi surface expected upon density wave ordering. The magnitude of the density wave gap is found to be large. The Hall resistance exhibits a nonanalyticity at the quantum critical point for density wave ordering, but the amplitude of the anomaly is found to be unobservably small. The quantum critical contribution to $R_H(B)$ is determined. Quantitative discrepancies between calculation and data remain, suggesting that the experimental doping is not identical to the $Ce$ concentration $x$.

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