New to Kwant. Basic bias voltage in quantum wire?

Dear all, In the quantum wire set up I naively considered (oversimplfied) : left_lead[(lat(0, j) for j in range(W))] = (+0.5) right_lead[(lat(0, j) for j in range(W))] = (- 0.5) I wanted to have a bias voltage, muL > muR (0.5 eV in my case). I computed the conductance expecting to have different values for electrons flowing from left to right and right to left, i.e., smatrix.transmission(1, 0)) different from smatrix.transmission(0, 1)) but the results are identical! So my question is how do I actually construct a bias voltage and get the current from left to right different than from right to left. To oversimplify the problem I'm not interested in energy integration, let's assume that all the physics is dominated by electrons with a fixed energy value. Thank you for your answer

Hi Chris, Transmission is always symmetric in 2-terminal structures due to the unitarity of the scattering matrix. There's no way around that. Best, Anton On Sun, 19 Dec 2021 at 19:27, <statsconchris@gmail.com> wrote:
Dear all, In the quantum wire set up I naively considered (oversimplfied) :
left_lead[(lat(0, j) for j in range(W))] = (+0.5) right_lead[(lat(0, j) for j in range(W))] = (- 0.5)
I wanted to have a bias voltage, muL > muR (0.5 eV in my case). I computed the conductance expecting to have different values for electrons flowing from left to right and right to left, i.e., smatrix.transmission(1, 0)) different from smatrix.transmission(0, 1))
but the results are identical!
So my question is how do I actually construct a bias voltage and get the current from left to right different than from right to left. To oversimplify the problem I'm not interested in energy integration, let's assume that all the physics is dominated by electrons with a fixed energy value. Thank you for your answer
participants (2)
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Anton Akhmerov
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statsconchris@gmail.com