Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states
By Philippe Corboz, Roman Orus, Bela Bauer, Guifré Vidal. 2009
268 citations recorded by the source corpus.
We explain how to implement, in the context of projected entangled-pair states (PEPSs), the general procedure of fermionization of a tensor network introduced in P. Corboz and G. Vidal, Phys. Rev. B 80, 165129 (2009). The resulting fermionic PEPS, similar to previous proposals, can be used to study the ground state of interacting fermions on a two-dimensional lattice. As in the bosonic case, the cost of simulations depends on the amount of entanglement in the ground state and not directly on the strength of interactions. The present formulation of fermionic PEPS leads to a straightforward numerical implementation that allowed us to recycle much of the code for bosonic PEPS. We demonstrate that fermionic PEPS are a useful variational ansatz for interacting fermion systems by computing approximations to the ground state of several models on an infinite lattice. For a model of interacting spinless fermions, ground state energies lower than Hartree-Fock results are obtained, shifting the boundary between the metal and charge-density wave phases. For the t-J model, energies comparable with those of a specialized Gutzwiller-projected ansatz are also obtained. © 2010 The American Physical Society.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/e21a77ac7b439a64f6bfec850f44dff0d4fa0468
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
- Frank Verstraete
- J. Haegeman
- Norbert Schuch
- S. White
- J. I. Cirac
- Karel Van Acoleyen
- Andrew J. Daley
- Garnet Kin-Lic Chan
In Condensed Matter Physics
Citations in the corpus
- Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems (2014, background): “[30] Philippe Corboz, Roman Orus, Bela Bauer, and Guifre Vidal, “Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangledpair states,” Phys.”
- Stripe order in the underdoped region of the two-dimensional Hubbard model (2016, methodology): “Fermionic statistics are taken into account following the formalism explained in Refs (58, 66).”