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Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 22: Superconductivity: Theory

TT 22.6: Talk

Tuesday, April 2, 2019, 11:00–11:15, H7

Hall coefficient in two-dimensional metals with spiral magnetic order and application to cuprate high-Tc superconductors — •Johannes Mitscherling and Walter Metzner — Max Planck Institute for Solid State Research, Stuttgart, Germany

Charge transport measurements in high magnetic fields recently shed new light on the non-superconducting ground state in cuprate high-Tc superconductors [1]. In particular, Hall measurements yield a drop of the Hall number indicating a phase transition associated with a Fermi surface reconstruction. On the theoretical side, spiral magnetic order (or quasi-order) remains a hot candidate for the Fermi surface reconstruction mechanism. The electromagnetic response of spiral magnetic states has already been analyzed for small relaxation rates [2]. However, the relaxation rate in the cuprate samples studied experimentally is sizable. We have, thus, derived, for the first time, a complete formula (including all interband contributions) for the Hall conductivity in the low field limit ωcτ≪ 1 [3]. We use the complete expressions to study the importance of a sizable relaxation rate and show that the observed Hall number drop in cuprates can be fitted with realistic parameters.
Badoux et al., Nature 531, 210 (2016)
Voruganti et al., PRB 45, 13945 (1992)
Mitscherling and Metzner, PRB 98, 195126 (2018)

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