Transport implications of Fermi arcs in the pseudogap phase of the cuprates

Abstract

We derive the fermionic contribution to the longitudinal and Hall conductivities within a Kubo formalism, using a phenomenological Greens function which has been previously developed to describe photoemission data in the pseudogap phase of the cuprates. We find that the in-plane electrical and thermal conductivities are metallic-like, showing a universal limit behavior characteristic of a d-wave spectrum as the scattering rate goes to zero. In contrast, the c-axis resistivity and the Hall number are insulating-like, being divergent in the same limit. The relation of these results to transport data in the pseudogap phase is discussed.

3 pages, 2 figures

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• Perfect Fluids and Bad Metals: Transport Analogies Between Ultracold Fermi Gases and High $T_c$ Superconductors
• Spin Transport in Cold Fermi gases: A Pseudogap Interpretation of Spin Diffusion Experiments at Unitarity
• Conductivity in Pseudogapped Superconductors: The Role of the Fermi Arcs
• Resonating valence bonds and Fermi surface reconstruction: The resistivity in the underdoped cuprates
• A simple model for in- and out-of-plane resistivities of hole doped cuprates
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors
• Theory of THz Conductivity in the Pseudogap Phase of the Cuprates: A Pre-Formed Pair Perspective
• C-axis optical conductivity from the Yang-Rice-Zhang model of the underdoped cuprates
• Isotope Effect of Underdoped Cuprates in the Yang-Rice-Zhang Model
• On d+id density wave and superconducting orderings in hole-doped cuprates
• Fluctuation conductivity due to the preformed local pairs
• Incoherent pair tunneling in the pseudogap phase of cuprates