The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.
Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states
Open accessAbstract
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 $t\text{\ensuremath{-}}J$ model, energies comparable with those of a specialized Gutzwiller-projected ansatz are also obtained.
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Cites
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Self-citationPhase separation in the t-J model
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Class of Quantum Many-Body States That Can Be Efficiently Simulated
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Self-citationClassical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions
Jordan, J., Orús, R., Vidal, G., Verstraete, F., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.250602 · Cited by 710
Self-citationEntanglement Entropy of Fermions in Any Dimension and the Widom Conjecture
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Cited by
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
Self-citationStripe order in the underdoped region of the two-dimensional Hubbard model
Zheng, B.-X., Chung, C.-M., Corboz, P., Ehlers, G., Qin, M.-P., Noack, R. M., Shi, H., White, S. R., Zhang, S., & Chan, G. K.-L. (2017) · Science · doi:10.1126/science.aam7127 · Cited by 606
Self-citationStudying Two-Dimensional Systems with the Density Matrix Renormalization Group
Stoudenmire, E. M., & White, S. R. (2012) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-020911-125018 · Cited by 451
Can one trust quantum simulators?
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Variational optimization with infinite projected entangled-pair states
Corboz, P. (2016) · Physical Review B · doi:10.1103/physrevb.94.035133 · Cited by 234
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Metadata
- Authors
- Corboz, P., Orús, R., Bauer, B., & Vidal, G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2010-04-08
- Volume
- 81
- Issue
- 16
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2087838357
- Cited by
- 323
- References
- 44
- FWCI
- 9.31
- Type
- journal article
- Language
- en
- Open access
- green
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