Effect of pseudogap formation on the penetration depth of underdoped high $T_c$ cuprates

Abstract

The penetration depth is calculated over the entire doping range of the cuprate phase diagram with emphasis on the underdoped regime. Pseudogap formation on approaching the Mott transition, for doping below a quantum critical point, is described within a model based on the resonating valence bond spin liquid which provides an ansatz for the coherent piece of the Green's function. Fermi surface reconstruction, which is an essential element of the model, has a strong effect on the superfluid density at T=0 producing a sharp drop in magnitude, but does not change the slope of the linear low temperature variation. Comparison with recent data on Bi-based cuprates provides validation of the theory and shows that the effects of correlations, captured by Gutzwiller factors, are essential for a qualitative understanding of the data. We find that the Ferrell-Glover-Tinkham sum rule still holds and we compare our results with those for the Fermi arc and the nodal liquid models.

14 pages, 9 figures, submitted to PRB

References in corpus (15)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Two Gaps Make a High Temperature Superconductor?
• A Phenomenological Theory of The Pseudogap State
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Coexistence of Fermi arcs and Fermi pockets in a high Tc copper oxide superconductor
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin cuprate films
• Fermi surface reconstruction in high-Tc superconductors
• Phenomenological description of the two energy scales in underdoped superconducting cuprates
• Specific heat of underdoped cuprates: RVB versus Fermi arcs
• Non-BCS behavior of optical properties across the cuprate phase diagram
• Fermi arcs in cuprate superconductors: tracking the pseudogap below Tc and above T*
• Fermi Arcs in the Superconducting Clustered State for Underdoped Cuprates
• Fermi surface arcs and the infrared conductivity of underdoped YBa${}_2$Cu${}_3$O${}_{6.50}$

Cited by in corpus (24)

• A Phenomenological Theory of the Anomalous Pseudogap Phase in Underdoped Cuprates
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Signatures of Fermi surface reconstruction in Raman spectra of underdoped cuprates
• Signature of pseudogap formation in the density of states of underdoped cuprates
• Andreev and Single Particle Tunneling Spectroscopies in Underdoped Cuprates
• Electron pockets and pseudogap asymmetry observed in the thermopower of underdoped cuprates
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Specific heat across the superconducting dome in the cuprates
• Effects of a particle-hole asymmetric pseudogap on Bogoliubov quasiparticles
• Incoherent superconductivity well above $T_c$ in high-$T_c$ cuprates - harmonizing the spectroscopic and thermodynamic data
• Charge compensation and optimal stoichiometry in superconducting (Ca${}_x$La${}_{1-x}$)(Ba${}_{1.75-x}$La${}_{0.25+x}$)Cu${}_3$O${}_y$
• 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
• Flow equation approach to the linear response theory of superconductors
• Resonating valence bonds and Fermi surface reconstruction: The resistivity in the underdoped cuprates
• Simultaneous drop in mean free path and carrier density at the pseudogap onset in high-$T_c$ cuprates
• Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum rule consistent response functions of the pseudogap
• C-axis optical conductivity from the Yang-Rice-Zhang model of the underdoped cuprates
• Electron pockets and pseudogap Dirac point in underdoped cuprate superconductors
• Determination of Gap Solution and Critical Temperature in Doped Graphene Superconductivity
• Origin of the pseudogap and its influence on superconducting state
• 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
• Fluctuation conductivity due to the preformed local pairs