External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics

This paper is devoted to the study of interactions between stationary electromagnetic sources for minimal and nonminimal CPT-odd photon sector Standard Model Extension (SME), where we search mainly physical phenomena not present in Maxwell electrodynamics. First consider sector, Lorentz violation caused by Carroll-Field-Jackiw (CFJ) term, namely $\sim\epsilon^{\mu\nu\alpha\beta}\left(k_{AF}\right)_{\mu}A_{\nu}F_{\alpha\beta}$, treat breaking parameter $\left(k_{AF}\right)^{\mu}$ perturbatively up second order. We effects due presence point-like charges, Dirac strings dipoles. In special, calculate field produced outside string investigate so called Aharonov-Bohm bound states context. After, a model generated higher-derivative version CFJ model, $\sim\epsilon^{\mu\nu\alpha\beta}V_{\mu}A_{\nu}\Box F_{\alpha\beta}$, which dimension five term SME. For this obtain order $V^{\mu}$ related charges steady current line. use overestimated constrains parameters relevance some results found atomic systems. also make an overestimate background vectors using experimental data from electric field.