1T-TaS$_2$ is known for its remarkably complex phase diagram and its unique long-lived metastable hidden (H) state. Recently, a novel metastable state has been discovered using higher fluences for photoexcitation than in the case of the H state. The state has been dubbed as amorphous (A) due to its similarity to glass. Expanding on the work of Brazovskii and Karpov, we show that the A state can be successfully modelled with classical interacting polarons on a two-dimensional hexagonal lattice. We have found that the polaron configuration of the A state corresponds to a frustrated screened Coulomb system, where there is no order-disorder phase transition.
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