| Issue |
EPL
Volume 148, Number 6, December 2024
|
|
|---|---|---|
| Article Number | 61001 | |
| Number of page(s) | 5 | |
| Section | Statistical physics and networks | |
| DOI | https://doi.org/10.1209/0295-5075/ad994b | |
| Published online | 17 December 2024 | |
Tensor networks for hierarchical lattices
Department of Chemistry and Chemical Engineering, Omsk State Technical University - Mira Ave. 11, Omsk 644050, Russian Federation
Received: 23 September 2024
Accepted: 2 December 2024
In this paper, we propose an approach to obtain numerically exact solutions for hierarchical lattices by representing them as a tensor network. The visual representation of these networks greatly simplifies the computational algorithm. Furthermore, we introduce a method for incorporating single-node interactions, enabling us to disregard the inhomogeneity of the hierarchical lattice nodes and simulate the behavior on a regular lattice instead. This methodology allows for qualitative studies of the phase space of desired lattice models with single-node interactions, which holds relevance for adsorption systems. The efficiency of the approach is demonstrated using the Ising model and the binary gas adsorption model as examples.
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