  1T-TaS$_2$ is known for it's remarkably complex phase diagram and it's 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 it's 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.
