Optical conductivity of the two-dimensional Hubbard model: Vertex corrections, emergent Galilean invariance, and the accuracy of the single-site dynamical mean field approximation
Abstract
We compute the frequency-dependent conductivity of the two-dimensional square lattice Hubbard model at zero temperature as a function of density to second order in the interaction strength, and compare the results to the predictions of single-site dynamical mean field theory computed at the same order. We find that despite the neglect of vertex corrections, the single-site dynamical mean field approximation produces semiquantitatively accurate results for most carrier concentrations, but fails qualitatively for the nearly empty or nearly filled band cases where the model exhibits an emergent Galilean invariance. The DMFT approximation also becomes qualitatively inaccurate very near half filling if nesting is important.
- Authors:
-
[1];
[2];
- Columbia Univ., New York, NY (United States)
- Harvard Univ., Cambridge, MA (United States)
- Columbia Univ., New York, NY (United States); Flatiron Institute, New York, NY (United States)
- Publication Date:
- Research Org.:
- Columbia Univ., New York, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1979809
- Grant/Contract Number:
- SC0018426
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 106; Journal Issue: 8; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Physics; optical conductivity; 2-dimensional systems; dynamical mean field theory; Hubbard model
Citation Formats
Mu, Anqi, Sun, Zhiyuan, and Millis, Andrew J. Optical conductivity of the two-dimensional Hubbard model: Vertex corrections, emergent Galilean invariance, and the accuracy of the single-site dynamical mean field approximation. United States: N. p., 2022.
Web. doi:10.1103/physrevb.106.085142.
Mu, Anqi, Sun, Zhiyuan, & Millis, Andrew J. Optical conductivity of the two-dimensional Hubbard model: Vertex corrections, emergent Galilean invariance, and the accuracy of the single-site dynamical mean field approximation. United States. https://doi.org/10.1103/physrevb.106.085142
Mu, Anqi, Sun, Zhiyuan, and Millis, Andrew J. Tue .
"Optical conductivity of the two-dimensional Hubbard model: Vertex corrections, emergent Galilean invariance, and the accuracy of the single-site dynamical mean field approximation". United States. https://doi.org/10.1103/physrevb.106.085142. https://www.osti.gov/servlets/purl/1979809.
@article{osti_1979809,
title = {Optical conductivity of the two-dimensional Hubbard model: Vertex corrections, emergent Galilean invariance, and the accuracy of the single-site dynamical mean field approximation},
author = {Mu, Anqi and Sun, Zhiyuan and Millis, Andrew J.},
abstractNote = {We compute the frequency-dependent conductivity of the two-dimensional square lattice Hubbard model at zero temperature as a function of density to second order in the interaction strength, and compare the results to the predictions of single-site dynamical mean field theory computed at the same order. We find that despite the neglect of vertex corrections, the single-site dynamical mean field approximation produces semiquantitatively accurate results for most carrier concentrations, but fails qualitatively for the nearly empty or nearly filled band cases where the model exhibits an emergent Galilean invariance. The DMFT approximation also becomes qualitatively inaccurate very near half filling if nesting is important.},
doi = {10.1103/physrevb.106.085142},
journal = {Physical Review. B},
number = 8,
volume = 106,
place = {United States},
year = {Tue Aug 30 00:00:00 EDT 2022},
month = {Tue Aug 30 00:00:00 EDT 2022}
}
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