# Modeling of networks and globules of charged domain walls observed in pump and pulse induced states

### Petr Karpov 1 Serguei Brazovskii 2, 1, 3

#### Scientific Reports, Nature Publishing Group, 2018

Experiments on optical and STM injection of carriers in layered $\mathrm{MX_2}$ materials revealed the formation of nanoscale patterns with networks and globules of domain walls. This is thought to be responsible for the metallization transition of the Mott insulator and for stabilization of a "hidden" state. In response, here we present studies of the classical charged lattice gas model emulating the superlattice of polarons ubiquitous to the material of choice $1T-\mathrm{TaS_2}$. The injection pulse was simulated by introducing a small random concentration of voids which subsequent evolution was followed by means of Monte Carlo cooling. Below the detected phase transition, the voids gradually coalesce into domain walls forming locally connected globules and then the global network leading to a mosaic fragmentation into domains with different degenerate ground states. The obtained patterns closely resemble the experimental STM visualizations. The surprising aggregation of charged voids is understood by fractionalization of their charges across the walls' lines.

• 1. MISIS - National University of Science and Technology
• 2. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
• 3. IJS - Jozef Stefan Institute [Ljubljana, Slovenia]