Jure Kokalj, Nigel E. Hussey, Ross H. McKenzie
We consider the implications of a phenomenological model self-energy for the
charge transport properties of the metallic phase of the overdoped cuprate
superconductors. The self-energy is the sum of two terms with characteristic
dependencies on temperature, frequency, location on the Fermi surface, and
doping. The first term is isotropic over the Fermi surface, independent of
doping, and has the frequency and temperature dependence characteristic of a
Fermi liquid. The second term is anisotropic over the Fermi surface (vanishing
at the same points as the superconducting energy gap), strongly varies with
doping (scaling roughly with $T_c$, the superconducting transition
temperature), and has the frequency and temperature dependence characteristic
of a marginal Fermi liquid. Previously it has been shown this self-energy can
describe a range of experimental data including angle-dependent
magnetoresistance (ADMR) and quasi-particle renormalisations determined from
specific heat, quantum oscillations, and angle-resolved photo-emission
spectroscopy (ARPES). Without introducing new parameters and neglecting vertex
corrections we show that this model self-energy can give a quantitative
description of the temperature and doping dependence of a range of reported
transport properties of Tl2201 samples. These include the intra-layer
resistivity, the frequency dependent optical conductivity, and the Hall
coefficient. The temperature dependence of the latter is shown to be
particularly sensitive to the anisotropy of the scattering rate and to the
shape of the Fermi surface. In contrast, the temperature dependence of the Hall
angle is dominated by the Fermi liquid contribution to the self-energy that
determines the scattering rate in the nodal regions of the Fermi surface.
View original:
http://arxiv.org/abs/1202.4820
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