Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates

Abstract

Recent transport experiments in the cuprate superconductors linked the opening of the pseudogap to a change in electronic dispersion [S. Badoux et al., Nature 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 antiferromagnetic short range interactions 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 renormalised electronic propagator under the SU(2) dome, and calculate the spectral functions and transport quantities of the renormalised bands. We show that their evolution with doping matches both spectral and transport measurements.

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• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Wiedemann-Franz law and abrupt change in conductivity across the pseudogap critical point of a cuprate superconductor
• Hall and Faraday effects in interacting multi-band systems with arbitrary band topology and spin-orbit coupling
• The phase diagram of the underdoped cuprates at high magnetic field
• Hall effect in cuprates with incommensurate spin-density wave
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Collective mode in the SU(2) theory of cuprates
• Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect
• Incipient loop current order in the under-doped cuprate superconductors
• Carrier density crossover and quasiparticle mass enhancement in a doped 5$d$ Mott insulator
• Robust Charge-Density Wave Correlations in Optimally-Doped YBa2Cu3Oy
• The Future of the Correlated Electron Problem
• Electrical Conductivity in Quantum Materials