Tensor Networks Can Resolve Fermi Surfaces
Abstract
We demonstrate that projected entangled-pair states (PEPS) are able to represent ground states of critical, fermionic systems exhibiting both 1d and 0d Fermi surfaces on a 2D lattice with an efficient scaling of the bond dimension. Extrapolating finite size results for the Gaussian restriction of fermionic projected entangled-pair states to the thermodynamic limit, the energy precision as a function of the bond dimension is found to improve as a power law, illustrating that an arbitrary precision can be obtained by increasing the bond dimension in a controlled manner. In this process, boundary conditions and system sizes have to be chosen carefully so that nonanalyticities of the Ansatz, rooted in its nontrivial topology, are avoided.
Keywords
Cite
@article{arxiv.2008.11176,
title = {Tensor Networks Can Resolve Fermi Surfaces},
author = {Quinten Mortier and Norbert Schuch and Frank Verstraete and Jutho Haegeman},
journal= {arXiv preprint arXiv:2008.11176},
year = {2022}
}
Comments
Small changes in correspondence to the PRL publication