Andrey V Chubukov et al 1996 J. Phys.: Condens. Matter 8 10017 doi:10.1088/0953-8984/8/48/021
Andrey V Chubukov
, David Pines
and Branko P Stojkovic![]()
We study the temperature crossovers seen in the magnetic and transport properties of cuprates using a nearly antiferromagnetic Fermi-liquid model (NAFLM). We distinguish between underdoped and overdoped systems on the basis of their low-frequency magnetic behaviour and so classify the optimally doped cuprates as a special case of the underdoped cuprates. For the overdoped cuprates, we find, in agreement with earlier work, mean-field z = 2 behaviour of the magnetic variables associated with the fact that the damping rate of their spin fluctuations is essentially independent of temperature, while the resistivity exhibits a crossover from Fermi-liquid behaviour at low temperature to linear-in-T behaviour above a certain temperature
. We demonstrate that above
the proximity of the quasiparticle Fermi surface to the magnetic Brillouin zone boundary brings about the measured linear-in-T resistivity. For the underdoped cuprates we argue that the sequence of crossovers identified by Barzykin and Pines in the low-frequency magnetic behaviour (from mean-field z = 2 behaviour at high temperatures,
, to non-universal z = 1 scaling behaviour at intermediate temperatures,
, to pseudogap behaviour below
) reflects the development in the electronic structure of a precursor to a spin-density-wave state. This development begins at
with a thermal evolution of the quasiparticle spectral weight which brings about temperature-dependent spin damping and ends at
where the Fermi surface has lost pieces near corners of the magnetic Brillouin zone. For
the resistivity is linear in T because this change in spectral weight does not affect the resistivity significantly; below
vertex corrections act to bring about the measured downturn in
and approximately quadratic-in-T resistivity for
.
74.62.Dh Effects of crystal defects, doping and substitution
74.25.Fy Transport properties (electric and thermal conductivity, thermoelectric effects, etc.)
Issue 48 (25 November 1996)
Received 20 June 1996, in final form 3 September 1996
Andrey V Chubukov et al 1996 J. Phys.: Condens. Matter 8 10017
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