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We study nonlinear electronic transport symmetries in Aharonov-Bohminterferometers subjected to inelastic scattering effects and show that odd(even) conductance terms are even (odd) in the magnetic field when the junctionis (left-right) spatially symmetric. This observation does not hold when anasymmetry is introduced, as we show numerically, but odd conductance terms onlymanifest a weak breakdown of the magnetic field symmetry. Under elasticdephasing effects, the Onsager-Casimir symmetry is maintained beyond linearresponse and under spatial asymmetries.

Magnetic field symmetries of nonlinear transport with elastic and inelastic scattering