Number of holes contained within the Fermi surface volume in underdoped high-temperature superconductors

2016/05/13 by N. Harrison
Chemistry · Physics and Astronomy · #Chemistry #Condensed matter physics #Cuprate #Electron #Fermi Gamma-ray Space Telescope #Fermi energy #Fermi gas #Fermi level #Fermi liquid theory #Fermi surface #Oscillation (cell signaling) #Physics #Physics of Superconductivity and Magnetism #Pseudogap #Quantum and electron transport phenomena #Quantum mechanics #Quantum oscillations #Superconductivity #Superconductivity in MgB2 and Alloys #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.94.085129

published as Phys. Rev. B 94, 085129 (2016) · 7 pages, 6 figures

arxiv created 2016/05/13 · openalex created_date 2016/06/24 · openalex publication_date 2016/08/16 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05

Abstract

We provide a potential solution to the longstanding problem relating Fermi surface reconstruction to the number of holes contained within the Fermi surface volume in underdoped high T_c superconductors. On considering uniaxial and biaxial charge-density wave order, we show that there exists a relationship between the ordering wave vector, the hole doping, and the cross-sectional area of the reconstructed Fermi surface whose precise form depends on the volume of the starting Fermi surface. We consider a ``large'' starting Fermi surface comprising 1+p hole carriers, as predicted by band structure calculations, and a ``small'' starting Fermi surface comprising p hole carriers, as proposed in models in which the Coulomb repulsion remains the dominant energy. Using the reconstructed Fermi surface cross-sectional area obtained in quantum oscillation experiments in YBa₂Cu₃O_6+x and HgBa₂CuO_4+x and the established methods for estimating the chemical hole doping, we find the ordering vectors obtained from x-ray scattering measurements to show a close correspondence with those expected for the small starting Fermi surface. We therefore show the quantum oscillation frequency and charge-density wave vectors provide accurate estimates for the number of holes contributing to the Fermi surface volume in the pseudogap regime.

Citations

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