Stacked tree construction for free-fermion projected entangled pair
states
- URL: http://arxiv.org/abs/2308.09377v1
- Date: Fri, 18 Aug 2023 08:13:35 GMT
- Title: Stacked tree construction for free-fermion projected entangled pair
states
- Authors: Yuman He, Kangle Li, Yanbai Zhang, Hoi Chun Po
- Abstract summary: We propose a divide-and-conquer approach to construct a PEPS representation for free-fermion states admitting descriptions in terms of filling exponentially localized Wannier functions.
We demonstrate our construction for states in one and two dimensions, including the ground state of an obstructed atomic insulator on the square lattice.
- Score: 0.6144680854063939
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The tensor network representation of a state in higher dimensions, say a
projected entangled-pair state (PEPS), is typically obtained indirectly through
variational optimization or imaginary-time Hamiltonian evolution. Here, we
propose a divide-and-conquer approach to directly construct a PEPS
representation for free-fermion states admitting descriptions in terms of
filling exponentially localized Wannier functions. Our approach relies on first
obtaining a tree tensor network description of the state in local subregions.
Next, a stacking procedure is used to combine the local trees into a PEPS.
Lastly, the local tensors are compressed to obtain a more efficient
description. We demonstrate our construction for states in one and two
dimensions, including the ground state of an obstructed atomic insulator on the
square lattice.
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