Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model
Abstract
Recent quantum-gas microscopy of ultracold atoms and scanning tunneling microscopy of the cuprates reveal new detailed information about doped Mott antiferromagnets, which can be compared with calculations. Using cellular dynamical mean-field theory, we map out the antiferromagnetic (AF) phase of the two-dimensional Hubbard model as a function of interaction strength U, hole doping δ, and temperature T . The Néel phase boundary is nonmonotonic as a function of U and δ. Frustration induced by second-neighbor hopping reduces Néel order more effectively at small U. The doped AF is stabilized at large U by kinetic energy and at small U by potential energy. The transition between the AF insulator and the doped metallic AF is continuous. At large U, we find in-gap states similar to those observed in scanning tunneling microscopy. Finally, we predict that, contrary to the Hubbard bands, these states are only slightly spin polarized.
- Authors:
-
- Univ. of London, Egham, Surrey (United Kingdom). Dept. of Physics, Royal Holloway
- Univ. de Sherbrooke, Sherbrooke, QC (Canada). Dept. de Physique, Institut Quantique, and Regroupement Quebecois sur les Materiaux de Pointe
- Brookhaven National Lab. (BNL), Upton, NY (United States). Computational Science Initiative
- Univ. de Sherbrooke, Sherbrooke, QC (Canada). Dept. de Physique, Institut Quantique, and Regroupement Quebecois sur les Materiaux de Pointe; Canadian Inst. for Advanced Research, Toronto, ON (Canada)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Nuclear Energy (NE), International Nuclear Energy Policy and Cooperation
- OSTI Identifier:
- 1425185
- Report Number(s):
- BNL-203252-2018-JAAM
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1802061
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 24; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Fratino, L., Charlebois, M., Sémon, P., Sordi, G., and Tremblay, A. -M. S. Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.241109.
Fratino, L., Charlebois, M., Sémon, P., Sordi, G., & Tremblay, A. -M. S. Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model. United States. https://doi.org/10.1103/PhysRevB.96.241109
Fratino, L., Charlebois, M., Sémon, P., Sordi, G., and Tremblay, A. -M. S. Tue .
"Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model". United States. https://doi.org/10.1103/PhysRevB.96.241109. https://www.osti.gov/servlets/purl/1425185.
@article{osti_1425185,
title = {Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model},
author = {Fratino, L. and Charlebois, M. and Sémon, P. and Sordi, G. and Tremblay, A. -M. S.},
abstractNote = {Recent quantum-gas microscopy of ultracold atoms and scanning tunneling microscopy of the cuprates reveal new detailed information about doped Mott antiferromagnets, which can be compared with calculations. Using cellular dynamical mean-field theory, we map out the antiferromagnetic (AF) phase of the two-dimensional Hubbard model as a function of interaction strength U, hole doping δ, and temperature T . The Néel phase boundary is nonmonotonic as a function of U and δ. Frustration induced by second-neighbor hopping reduces Néel order more effectively at small U. The doped AF is stabilized at large U by kinetic energy and at small U by potential energy. The transition between the AF insulator and the doped metallic AF is continuous. At large U, we find in-gap states similar to those observed in scanning tunneling microscopy. Finally, we predict that, contrary to the Hubbard bands, these states are only slightly spin polarized.},
doi = {10.1103/PhysRevB.96.241109},
journal = {Physical Review B},
number = 24,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}
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Figures / Tables:
FIG. 1: (a) AF phase of the 2D Hubbard model in the U-T-δ space, for t ′ = −0.1. (b) T-U cut at δ = 0. (c) T-δ cut for U = 5 and (d) U = 12. (e) δ-U cut for T = 1/10. The magnitude of mz ismore »
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