Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states

Corboz, Philippe, Orus, Roman, Bauer, Bela and Vidal, Guifre (2010) Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states. Physical Review B, 81 16: 165104 -1-165104 - 22. doi:10.1103/PhysRevB.81.165104

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
UQ205215.pdf Full text (open access) application/pdf 1.49MB 10

Author Corboz, Philippe
Orus, Roman
Bauer, Bela
Vidal, Guifre
Title Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
Publication date 2010-04
Sub-type Article (original research)
DOI 10.1103/PhysRevB.81.165104
Open Access Status File (Publisher version)
Volume 81
Issue 16
Start page 165104 -1
End page 165104 - 22
Total pages 22
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2011
Language eng
Abstract 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.
Keyword T-j Model
Matrix Renormalization-group
Phase-separation
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article number 165104, pp. 1-22

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 82 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 83 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Sun, 16 May 2010, 00:02:03 EST