Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]
Abstract
We present detailed benchmark ground-state calculations of the one- and two-dimensional Hubbard model utilizing the cluster extensions of the rotationally invariant slave-boson mean-field theory and the density matrix embedding theory. Our analysis shows that the overall accuracy and the performance of these two methods are very similar. Furthermore, we propose a unified computational framework that allows us to implement both of these techniques on the same footing. In conclusion, this provides us with a different line of interpretation and paves the ways for developing systematically distinct generalizations of these complementary approaches.
- Authors:
-
- Rutgers Univ., Piscataway, NJ (United States)
- Rutgers Univ., Piscataway, NJ (United States); Atos Quantum Lab., Les Clayes-sous-Bois (France)
- Ames Lab. and Iowa State Univ., Ames, IA (United States)
- Aarhus Univ., Aarhus C (Denmark)
- Rutgers Univ., Piscataway, NJ (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Ames Lab., Ames, IA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1506107
- Alternate Identifier(s):
- OSTI ID: 1546201
- Report Number(s):
- IS-J-9924
Journal ID: ISSN 2469-9950; PRBMDO
- Grant/Contract Number:
- AC02-07CH11358; FG02-99ER45761
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 11; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Lee, Tsung -Han, Ayral, Thomas, Yao, Yong -Xin, Lanata, Nicola, and Kotliar, Gabriel. Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.115129.
Lee, Tsung -Han, Ayral, Thomas, Yao, Yong -Xin, Lanata, Nicola, & Kotliar, Gabriel. Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]. United States. https://doi.org/10.1103/PhysRevB.99.115129
Lee, Tsung -Han, Ayral, Thomas, Yao, Yong -Xin, Lanata, Nicola, and Kotliar, Gabriel. Fri .
"Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]". United States. https://doi.org/10.1103/PhysRevB.99.115129. https://www.osti.gov/servlets/purl/1506107.
@article{osti_1506107,
title = {Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]},
author = {Lee, Tsung -Han and Ayral, Thomas and Yao, Yong -Xin and Lanata, Nicola and Kotliar, Gabriel},
abstractNote = {We present detailed benchmark ground-state calculations of the one- and two-dimensional Hubbard model utilizing the cluster extensions of the rotationally invariant slave-boson mean-field theory and the density matrix embedding theory. Our analysis shows that the overall accuracy and the performance of these two methods are very similar. Furthermore, we propose a unified computational framework that allows us to implement both of these techniques on the same footing. In conclusion, this provides us with a different line of interpretation and paves the ways for developing systematically distinct generalizations of these complementary approaches.},
doi = {10.1103/PhysRevB.99.115129},
url = {https://www.osti.gov/biblio/1506107},
journal = {Physical Review B},
issn = {2469-9950},
number = 11,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}
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