Kinetics of excitations on the Fermi arcs in underdoped cuprates at low temperature

Abstract

The Fermi-liquid-like (FL) resistivity recently observed in clean HgBa2CuO4 below the pseudogap temperature was related to carriers at the nodal points on the Fermi surface [4]. We show that this necessitates important implications for the electronic spectrum of underdoped (UD) cuprates in whole. Photoemission experiments picture the spectrum as of metallic arcs separated from each other by regions with large energy gaps. We solved the kinetic equation in such model rigorously. The Fermi arcs carriers contribute to FL resistivity, if scattering between the opposite nodal points admits the Umklapp processes. The Hall coefficient defines the effective number of carriers on arcs and has the positive sign. For clean materials the expression is applicable only at weak magnetic fields. We discuss the Fermi arcs concept further in light of recent experimental findings and argue that the idea of reconstructed FS in UD cuprates is not consistent with the FL-like resistivity.

Definition of charge carriers at the Fermi arcs is given. Sign of the Hall coefficient changed to be positive

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Cited by in corpus (7)

• Universal quantum oscillations in the underdoped cuprate superconductors
• Validity of Kohler's rule in the pseudogap phase of the cuprate superconductors
• Highly mobile carriers in orthorhombic phases of iron-based superconductors FeSe${}_{1-x}$S${}_x$
• Two-component energy spectrum of cuprates in the pseudogap phase and its evolution with temperature and at charge ordering
• The High Temperature Superconductivity in Cuprates: Physics of the Pseudogap Region
• The magnetic susceptibility of YBa${}_2$Cu${}_3$O${}_{6+x}$ crystals: unusual Curie behavior and small contributions from charge density waves
• Breakdown of the Fermi arcs in underdoped cuprates by incommensurate charge density waves