Fermionic Isometric Tensor Network States in Two Dimensions

• URL: http://arxiv.org/abs/2211.00043v3
• Date: Fri, 22 Mar 2024 18:16:31 GMT
• Title: Fermionic Isometric Tensor Network States in Two Dimensions
• Authors: Zhehao Dai, Yantao Wu, Taige Wang, Michael P. Zaletel,
• Abstract summary: We benchmarked a time-evolution block-decimation 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.
• Score: 1.0249620437941
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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