Tensor Networks Can Resolve Fermi Surfaces

Quinten Mortier (Corresponding author), Norbert Schuch, Frank Verstraete, Jutho Haegeman

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We demonstrate that projected entangled-pair states 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.
Original languageEnglish
Article number206401
JournalPhysical Review Letters
Volume129
Issue number20
Early online date8 Nov 2022
DOIs
Publication statusPublished - 11 Nov 2022

Austrian Fields of Science 2012

  • 103025 Quantum mechanics
  • 103015 Condensed matter

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