Why Hall angle and resistivity follow different temperature laws · revision history

Revision 2

Accepted · core change · record

Changes against revision 1:

Title
Why Hall angle and resistivity follow different temperature laws
Plain
In cuprates the resistance grows linearly with temperature while the Hall angle, the deflection of current by a magnetic field, behaves as if a second scattering rate grows as temperature squared.
Precise · changed · core
Revision 1: In optimally doped cuprates $\rho_{xx} \sim T$ while cot(theta_H) = rho_xx/rho_xy ~ A + B T^2 over a wide range. Determine whether this requires two distinct relaxation rates (transport and Hall) or follows from a single anisotropic scattering rate on a Fermi surface with hot and cold regions. An answer is a model that reproduces both laws and their doping dependence with one parameter set.
Revision 2: In optimally doped cuprates $\rho_{xx} \sim T$ while $\cot(\theta_{H}) = \rho_{xx}/\rho_{xy} \sim A + B T^{2}$ over a wide range. Determine whether this requires two distinct relaxation rates (transport and Hall) or follows from a single anisotropic scattering rate on a Fermi surface with hot and cold regions. An answer is a model that reproduces both laws and their doping dependence with one parameter set.
Settled by
Angle-dependent magnetoresistance mapping of the momentum-resolved scattering rate, fed into a Boltzmann or non-quasiparticle calculation that yields both $\rho_{xx}(T)$ and $\operatorname{cot}(\theta_{H})(T)$.
Kind
phenomenon
Answer type
mechanism
References
(empty)
Literature status
contested
Status note
(empty)
Posed since
1991

Decisions