kubo_hall Module Reference

Antisymmetric DC charge response with a scalar relaxation rate. More...

Functions/Subroutines
subroutine, public	hall_response (energies, current, mu, kt, gamma, hall, status)
	Hall tensor, with first index the current and second index the electric field.

Detailed Description

Antisymmetric DC charge response with a scalar relaxation rate.

Author

Thomas D. Kuehne, tkueh.nosp@m.ne@c.nosp@m.p2k.o.nosp@m.rg

Function/Subroutine Documentation

hall_response()

subroutine, public kubo_hall::hall_response	(	real(dp), dimension(:), intent(in)	energies,
		complex(dp), dimension(:, :, :), intent(in)	current,
		real(dp), intent(in)	mu,
		real(dp), intent(in)	kt,
		real(dp), intent(in)	gamma,
		real(dp), dimension(3, 3), intent(out)	hall,
		integer, intent(out)	status )

Hall tensor, with first index the current and second index the electric field.

Parameters

energies	Complete eigenvalue list for one spin channel and k point
current	Anti-Hermitian -i*hbar*v matrix triplet, in exactly the same eigenframe
mu	Chemical potential
kt	Positive temperature in energy units
gamma	Positive relaxation rate in energy units
hall	Antisymmetric tensor before e^2/hbar, volume, spin and k weights
status	Zero on success; negative for invalid input or nonfinite arithmetic

Note

The trace uses (gamma+i[H,.])^-1. Pairing n,m gives 2*f[en,em]*(en-em)*Im[J_a(m,n)*J_b(n,m)]/(gamma^2+(en-em)^2). Equal-energy blocks contribute zero without a band-gap division.

Definition at line 36 of file kubo_hall.F.

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