Fermionic Isometric Tensor Network States in Two Dimensions
Strongly Correlated Electrons
2025-12-03 v3 Quantum Physics
Abstract
We generalize isometric tensor network states to fermionic systems, paving the way for efficient adaptations of 1D tensor network algorithms to 2D fermionic systems. As the first application of this formalism, we developed and benchmarked a time-evolution block-decimation (TEBD) algorithm for real-time and imaginary-time evolution. The imaginary-time evolution produces ground-state energies for gapped systems, systems with a Dirac point, and systems with gapless edge modes to good accuracy. The real-time TEBD captures the scattering of two fermions and the chiral edge dynamics on the boundary of a Chern insulator.
Keywords
Cite
@article{arxiv.2211.00043,
title = {Fermionic Isometric Tensor Network States in Two Dimensions},
author = {Zhehao Dai and Yantao Wu and Taige Wang and Michael P. Zaletel},
journal= {arXiv preprint arXiv:2211.00043},
year = {2025}
}
Comments
Simplified main text + more results, 7 + 6 pages, 6 + 5 figures