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Experimental data shows that both ionization charge and scintillation lightin LAr depend on the deposited energy density ($dE/dx$) and electric field($\mathcal{E}$). Moreover, free ionization charge and scintillation light areanticorrelated, complementary at a given ($dE/dx$, $\mathcal{E}$) pair. Wepresent LArQL, a phenomenological model that provides the anticorrelationbetween light and charge and its dependence on the deposited energy as well ason the electric field applied. It modifies the Birks' charge model consideringthe contribution from the escape electrons at null and low electric fields, andreconciles with Birks' model prediction at higher fields. Deviations fromcurrent Birks' model are observed for LArTPCs operating at low $\mathcal{E}$and for heavily ionizing particles. The LArQL model presents a satisfactorydescription at $dE/dx$ and field ranges for interacting particles in LArTPCsand fits well the available data. Improvements via data sets compilation andglobal fits are also interesting features of the model.

LArQL: A phenomenological model for treating light and charge generation in liquid argon