Signatures of Fermi surface reconstruction in Raman spectra of underdoped cuprates

Abstract

We have calculated the Raman B${}_{1g}$ and B${}_{2g}$ spectra as a function of temperature, as well as doping, for the underdoped cuprates, using a model based on the resonating valence-bond spin-liquid. We discuss changes in intensity and peak position brought about by the presence of a pseudogap and the implied Fermi surface reconstruction, which are elements of this model. Signatures of Fermi surface reconstruction are evident as a sharp rise in the doping dependence of the antinodal to nodal peak ratio which occurs below the quantum critical point. The temperature dependence of the B${}_{1g}$ polarization can be used to determine if the superconducting gap is limited to the Fermi pocket, as seen in angle resolved photoemission spectroscopy, or extends beyond. We find that the slope of the linear low energy B${}_{2g}$ spectrum maintains its usual d-wave form, but with an effective gap which reflects the gap amplitude projected on the Fermi pocket. Our calculations capture the main qualitative features revealed in the extensive data set available on the HgBa${}_2$CuO${}_{4+\delta }$ (Hg-1201) cuprate.

13 pages, 14 figures

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Cited by in corpus (24)

• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Dielectric versus magnetic pairing mechanisms in high-temperature cuprate superconductors investigated using Raman scattering
• Signature of pseudogap formation in the density of states of underdoped cuprates
• Electronic Raman Scattering in copper oxide Superconductors: Understanding the Phase Diagram
• Andreev and Single Particle Tunneling Spectroscopies in Underdoped Cuprates
• Electron pockets and pseudogap asymmetry observed in the thermopower of underdoped cuprates
• Three energy scales in the superconducting state of hole-doped cuprates detected by electronic Raman scattering
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Single particle properties of the 2D Hubbard model for real frequencies at weak coupling: Breakdown of the Dyson series for partial self-energy expansions
• Specific heat across the superconducting dome in the cuprates
• Superconducting pairing and the pseudogap in nematic striped La2-xSrxCuO4
• Effects of a particle-hole asymmetric pseudogap on Bogoliubov quasiparticles
• Signatures of a momentum independent pseudogap in the electronic density of states and Raman spectroscopy of the underdoped cuprates
• Optical properties of the pseudogap state in underdoped cuprates
• Resonating valence bonds and Fermi surface reconstruction: The resistivity in the underdoped cuprates
• Pairing susceptibility of the two-dimensional Hubbard model in the thermodynamic limit
• Simultaneous drop in mean free path and carrier density at the pseudogap onset in high-$T_c$ cuprates
• C-axis optical conductivity from the Yang-Rice-Zhang model of the underdoped cuprates
• Electron pockets and pseudogap Dirac point in underdoped cuprate superconductors
• Enhanced Josephson tunneling between high temperature superconductors through a normal pseudogap underdoped cuprate with a finite energy cooperon
• Isotope Effect of Underdoped Cuprates in the Yang-Rice-Zhang Model