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Tensor networks can resolve fermi surfaces

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Organization
Project
  • ERQUAF (Entanglement and Renormalisation for Quantum Fields)
  • QUTE (Quantum tensor networks and entanglement)
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.

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Citation

Please use this url to cite or link to this publication:

MLA
Mortier, Quinten, et al. “Tensor Networks Can Resolve Fermi Surfaces.” PHYSICAL REVIEW LETTERS, vol. 129, no. 20, 2022, doi:10.1103/PhysRevLett.129.206401.
APA
Mortier, Q., Schuch, N., Verstraete, F., & Haegeman, J. (2022). Tensor networks can resolve fermi surfaces. PHYSICAL REVIEW LETTERS, 129(20). https://doi.org/10.1103/PhysRevLett.129.206401
Chicago author-date
Mortier, Quinten, Norbert Schuch, Frank Verstraete, and Jutho Haegeman. 2022. “Tensor Networks Can Resolve Fermi Surfaces.” PHYSICAL REVIEW LETTERS 129 (20). https://doi.org/10.1103/PhysRevLett.129.206401.
Chicago author-date (all authors)
Mortier, Quinten, Norbert Schuch, Frank Verstraete, and Jutho Haegeman. 2022. “Tensor Networks Can Resolve Fermi Surfaces.” PHYSICAL REVIEW LETTERS 129 (20). doi:10.1103/PhysRevLett.129.206401.
Vancouver
1.
Mortier Q, Schuch N, Verstraete F, Haegeman J. Tensor networks can resolve fermi surfaces. PHYSICAL REVIEW LETTERS. 2022;129(20).
IEEE
[1]
Q. Mortier, N. Schuch, F. Verstraete, and J. Haegeman, “Tensor networks can resolve fermi surfaces,” PHYSICAL REVIEW LETTERS, vol. 129, no. 20, 2022.
@article{01GSQ8CQRCV4QRN9NJHBBXQWYG,
  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.}},
  articleno    = {{206401}},
  author       = {{Mortier, Quinten and  Schuch, Norbert and Verstraete, Frank and Haegeman, Jutho}},
  issn         = {{0031-9007}},
  journal      = {{PHYSICAL REVIEW LETTERS}},
  language     = {{eng}},
  number       = {{20}},
  pages        = {{6}},
  title        = {{Tensor networks can resolve fermi surfaces}},
  url          = {{http://doi.org/10.1103/PhysRevLett.129.206401}},
  volume       = {{129}},
  year         = {{2022}},
}

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