Tensor Networks Can Resolve Fermi Surfaces

Autor(en)

Quinten Mortier, Norbert Schuch, Frank Verstraete, Jutho Haegeman

Abstrakt

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.

Organisation(en)

Institut für Mathematik, Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ghent University , Max-Planck-Institut für Quantenoptik, Munich Center for Quantum Science and Technology (MCQST)

Journal

Physical Review Letters

Band

129

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.129.206401

Publikationsdatum

11-2022

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103015 Kondensierte Materie

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/98e81da8-8aed-4f86-8c76-3e4f43d9a3e4