2008/07/01 by Jie Lin, Andrew J. Millis, A. J. Millis · 1 citation
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.78.115108
arxiv created 2008/07/01 · openalex publication_date 2008/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the effect of static antiphase stripe order on the weak-field Hall effect of electrons on a two-dimensional square lattice with electron dispersion appropriate to the high Tc cuprates. We first consider the cases where the magnitudes of the spin-and charge-stripe potentials are smaller than or of the same order as the bandwidth of the two-dimensional electrons so that the electronic properties are not too strongly one dimensional. In a model with only spin-stripe potential, and at carrier concentrations appropriate to hole-doped cuprates, increasing the stripe scattering potential from zero leads to an increase in RH, followed by a sign change. If the scattering amplitude is yet further increased, a second sign change occurs. The results are in semiquantitative agreement with data. In a charge-stripe-potential-only model, RH increases as the charge-stripe scattering strength increases with no sign change occurring. In a model with both spin- and charge-stripe potentials, RH may be enhanced or may change sign, depending on the strengths of the two scattering potentials. We also consider the case in which the magnitudes of the stripe potentials are much larger than the bandwidth, where analytical results can be obtained. In this limit, the system is quasi-one-dimensional while RH remains finite, and its sign is determined by the carrier density and the electron band parameters.