Evolution of Hall resistivity and spectral function with doping in the SU(2) theory of cuprates

Corentin Morice (1) , Xavier Montiel (2) , Catherine Pépin (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 RHUL - Royal Holloway [University of London]

Recent transport experiments in the cuprate superconductors linked the opening of the pseudogap to a change in electronic dispersion [S. Badoux et al., Nature (London) 531, 210 (2015)]. Transport measurements showed that the carrier density sharply changes from x to 1 + x at the pseudogap critical doping, in accordance with the change from Fermi arcs at low doping to a large hole Fermi surface at high doping. The SU(2) theory of cuprates shows that short-range antiferromagnetic correlations cause the arising of both charge and superconducting orders, which are related by an SU(2) symmetry. The fluctuations associated with this symmetry form a pseudogap phase. Here we derive the renormalized electronic propagator under the SU(2) dome, and calculate the spectral functions and transport quantities of the renormalized bands. We show that their evolution with doping matches both spectral and transport measurements.

Domaines: Supraconductivité [cond-mat.supr-con]

Corentin Morice, Xavier Montiel, Catherine Pépin. Evolution of Hall resistivity and spectral function with doping in the SU(2) theory of cuprates. Physical Review B, 2017, 96, pp.134511. ⟨10.1103/PhysRevB.96.134511⟩. ⟨cea-01567560v2⟩