Umklapp scattering from spin fluctuations in Copper-Oxides

Abstract

The $\mathbf{k}$-dependent electronic momentum relaxation rate due to Umklapp scattering from antiferromagnetic spin fluctuations is studied within a renormalized mean-field approach to an extended $t-J$ model appropriate to YBa${}_2$Cu${}_3$O${}_{7-x}$ and other cuprates. Transport coefficients are calculated in a relaxation time approximation. We compare these results with those obtained with the phenomenological assumption that all scattering processes dissipate momentum. We show that the latter, which violates momentum conservation, leads to quite different magnitudes and temperature dependences of resistivities and Hall coefficients.

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References in corpus (2)

• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds

Cited by in corpus (4)

• A Theory of the Longitudinal and Hall Conductivities of the Cuprate Superconductors
• Phenomenological interpretations of the ac Hall effect in the normal state of YBa2Cu3O7
• Theory of Hall Effect and Electrical Transport in High-Tc Cuprates: Effects of Antiferromagnetic Spin Fluctuations
• Anomalous Fermi Liquid Behavior of Overdoped High-Tc Superconductors