1995
DOI: 10.1103/physrevb.51.9253
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Resistivity as a function of temperature for models with hot spots on the Fermi surface

Abstract: We calculate the resistivity ρ as a function of temperature T for two models currently discussed in connection with high temperature superconductivity: nearly antiferromagnetic Fermi liquids and models with van Hove singularities on the Fermi surface. The resistivity is calculated semiclassicaly by making use of a Boltzmann equation which is formulated as a variational problem. For the model of nearly antiferromagnetic Fermi liquids we construct a better variational solution compared to the standard one and we… Show more

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Cited by 345 publications
(385 citation statements)
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“…͑7͒, involves transitions near the saddle point. 41 Only particles in the vicinity of hot spots on the FS are strongly scattered and present an anomalously large lifetime, while away from the hot spots the single particle lifetime follows Landau's Fermi liquid theory energy dependency. At some values of the band filling the FS is near a nesting situation, as shown in Fig.…”
Section: A Self-energy Corrections To the Fermi Surface Near Hot Spotsmentioning
confidence: 99%
See 1 more Smart Citation
“…͑7͒, involves transitions near the saddle point. 41 Only particles in the vicinity of hot spots on the FS are strongly scattered and present an anomalously large lifetime, while away from the hot spots the single particle lifetime follows Landau's Fermi liquid theory energy dependency. At some values of the band filling the FS is near a nesting situation, as shown in Fig.…”
Section: A Self-energy Corrections To the Fermi Surface Near Hot Spotsmentioning
confidence: 99%
“…Note that, in both cases, the DOS is proportional to the inverse bare bandwidth W −1 ϳ t −1 , tЈ −1 . The imaginary part of the second-order self-energy near the regular regions of the Fermi surface can be written as 41 Im…”
Section: A Self-energy Corrections To the Fermi Surface Near Hot Spotsmentioning
confidence: 99%
“…From spin fluctuation theory, it is known that at an antiferromagnetic (q = 0) quantum critical point the expected temperature dependence of the resistivity is ρ ∝ T 3/2 in the presence of sufficiently strong quenched disorder 34 , while the leading order term in the specific heat is linear in T . In contrast at a ferromagnetic critical point (q = 0), ρ ∝ T 5/3 and the specific heat diverges logarithmically.…”
Section: Fermi Surface and Magnetic Instabilitiesmentioning
confidence: 99%
“…The result of y ¼ 0 means that the staggered magnetic susceptibility diverges at T ¼ 0, indicating that x ¼ 0.10 is a magnetic QCP. Therefore, the exponent n ¼ 1 in the resistivity is due to the magnetic QCP (Generally speaking, scatterings due to the magnetic hot spots give a T-linear resistivity 11 , but those by other parts of the Fermi surface will not 23,24 . In real materials, however, there always exist some extent of impurity scatterings that can connect the magnetic hot spots and other parts of the Fermi surface as to restore the n ¼ 1 behaviour at a magnetic QCP).…”
Section: Electrical Resistivity Measurementsmentioning
confidence: 99%