Simulation of fermionic lattice models in two dimensions with projected entangled-pair states: Next-nearest neighbor Hamiltonians

Corboz, Philippe, Jordan, Jacob and Vidal, Guifre (2010) Simulation of fermionic lattice models in two dimensions with projected entangled-pair states: Next-nearest neighbor Hamiltonians. Physical Review B, 82 24: 245119 - 1-245119 - 9. doi:10.1103/PhysRevB.82.245119

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Author Corboz, Philippe
Jordan, Jacob
Vidal, Guifre
Title Simulation of fermionic lattice models in two dimensions with projected entangled-pair states: Next-nearest neighbor Hamiltonians
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
Publication date 2010-12-01
Sub-type Article (original research)
DOI 10.1103/PhysRevB.82.245119
Open Access Status File (Publisher version)
Volume 82
Issue 24
Start page 245119 - 1
End page 245119 - 9
Total pages 9
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract In a recent contribution fermionic projected entangled-pair states (PEPSs) were used to approximate the ground state of free and interacting spinless fermion models, as well as the t-J model. This paper revisits these three models in the presence of an additional next-nearest hopping amplitude in the Hamiltonian. First we explain how to account for next-nearest neighbor Hamiltonian terms in the context of fermionic PEPS algorithms based on simulating time evolution. Then we present benchmark calculations for the three models of fermions and compare our results against analytical, mean-field, and variational Monte Carlo results, respectively. Consistent with previous computations restricted to nearest neighbor Hamiltonians, we systematically obtain more accurate (or better converged) results for gapped phases than for gapless ones. © 2010 The American Physical Society.
Keyword T-j Model
Monte-carlo
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article number 245119, pp. 1-9

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
 
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Created: Sun, 06 Mar 2011, 10:03:50 EST