Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors

Abstract

The high-temperature normal state of the unconventional cuprate superconductors has resistivity linear in temperature $T$, which persists to values well beyond the Mott-Ioffe-Regel upper bound. At low-temperature, within the pseudogap phase, the resistivity is instead quadratic in $T$, as would be expected from Fermi liquid theory. Developing an understanding of these normal phases of the cuprates is crucial to explain the unconventional superconductivity. We present a simple explanation for this behavior, in terms of umklapp scattering of electrons. This fits within the general picture emerging from functional renormalization group calculations that spurred the Yang-Rice-Zhang ansatz: umklapp scattering is at the heart of the behavior in the normal phase.

v1 6+1 pages, 4 figures; v2 6+2 pages, 4 figures; v3 6 + 2.5 pages, 5 figures

References in corpus (11)

• Scanning tunneling spectroscopy of high-temperature superconductors
• A Phenomenological Theory of The Pseudogap State
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Pseudogap from ARPES experiment: three gaps in cuprates and topological superconductivity
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• High-energy magnetic excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$: Towards a unified description of the electronic and magnetic degrees of freedom in the cuprates
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• d-Mott phases in one and two dimensions
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory