On the dynamic distinguishability of nodal quasi-particles in overdoped cuprates

Abstract

La${}_{1.67}$Sr${}_{0.33}$CuO${}_4$ is not a superconductor and its resistivity follows a purely T${}^2$ temperature dependence at very low temperatures. La${}_{1.71}$Sr${}_{0.29}$CuO${}_4$, on the other hand, has a superconducting ground state together with a T-Linear term in its resistivity. The concomitant emergence of these two features below a critical doping is mystifying. Here, I notice that the electron-electron collision rate in the Fermi liquid above the doping threshold is unusually large. The scattering time of nodal quasi-particles expressed in a dimensionless parameter $\zeta$ is very close to what has been found in liquid ${}^3$He at its melting pressure. In the latter case, fermionic particles become dynamically distinguishable by excess of interaction. Ceasing to be dynamically indistinguishable, nodal electrons will be excluded from the Fermi sea. Such non-degenerate carriers will then scatter the degenerate ones within a phase space growing linearly with temperature.

10 pages, 5 figures

References in corpus (8)

• Quantum critical behavior in magic-angle twisted bilayer graphene
• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Linear-in temperature resistivity from an isotropic Planckian scattering rate
• T-square resistivity without Umklapp scattering in dilute metallic Bi${}_2$O${}_2$Se
• The Fermi surface and f-valence electron count of UPt3
• Thermal resistivity and hydrodynamics of the degenerate electron fluid in antimony
• Positive Seebeck coefficient in highly doped La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$=0.33); its origin and implication
• Dynamical quantum indistinguishability