Year: 2024
Type: article
Abstract: 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.
Source: Europhysics Letters (EPL)
Authors: S. S. Akimenko, A. V. Myshlyavtsev
Institution: Omsk State Technical University
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: Russian Science Foundation
Award: G5910764642
OpenAlex ID: W4404910725