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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 language | English |
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Article number | 206401 |
Journal | Physical Review Letters |
Volume | 129 |
Issue number | 20 |
Early online date | 8 Nov 2022 |
DOIs | |
Publication status | Published - 11 Nov 2022 |
Austrian Fields of Science 2012
- 103025 Quantum mechanics
- 103015 Condensed matter
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- 1 Active