Conductivity in Pseudogapped Superconductors: The Role of the Fermi Arcs

Abstract

We calculate the dc conductivity $\sigma$ in a pseudogapped high $T_c$ superconductor within a theory which is consistent with gauge invariance. Our results contain additional terms beyond those identified previously. Although it has been thought that lifetime effects dominate the $T$ dependence of transport, here we show (consistent with growing experimental support) that the temperature dependence of the effective carrier number $(n/m(T){)}_{\mathrm{eff}}$ plays a critical role and thereby leads to the contrasting behavior between over and under-doped regimes. The role of Fermi arcs is secondary.

4 pages, 3 figures; To be published in PRB: Rapid Communications (2011)

References in corpus (6)

• A Phenomenological Theory of The Pseudogap State
• Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity
• Establishing the Presence of Coherence in Atomic Fermi Superfluids: Spin-Flip and Spin-Preserving Bragg Scattering at Finite Temperatures
• Understanding the Protected Nodes and Collapse of the Fermi Arcs in Underdoped Cuprate Superconductors
• Transport implications of Fermi arcs in the pseudogap phase of the cuprates
• Self-energy renormalization around the flux phase in the $t-J$ model: Possible implications in underdoped cuprates

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• The Two Component Optical Conductivity in the Cuprates: A Necessary Consequence of Preformed Pairs
• Theory of Fluctuating Charge Ordering in the Pseudogap Phase of the Cuprates Via A Preformed Pair Approach
• Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum rule consistent response functions of the pseudogap
• 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
• Comment on "Density and Spin response of a strongly-interacting Fermi gas in the attractive and quasi-repulsive regime"
• Fluctuation conductivity in ultraclean multicomponent superconductors
• Fluctuation conductivity due to the preformed local pairs