Doped Mott insulators in the triangular-lattice Hubbard model
Abstract
Here we investigate the evolution of the Mott insulators in the triangular lattice Hubbard Model, as a function of hole doping δ in both the strong and intermediate coupling limits. Using the advanced density matrix renormalization group (DMRG) method, at light hole doping δ ≲ 10%, we find a significant difference between strong and intermediate couplings. Notably, at intermediate coupling an unusual metallic state emerges, with short ranged spin correlations but long ranged spin-chirality order. Moreover, no clear Fermi surface or wave vector is observed, this chiral metal also exhibits staggered loop current, which breaks the translational symmetry. These features disappear on increasing interaction strength or on further doping. At strong coupling, the 120 degree magnetic order of the insulating magnet persists for light doping, and produces hole pockets with a well-defined Fermi surface. On further doping, δ ≈ 10%~20% SDW order and coherent hole Fermi pockets are found at both strong and intermediate couplings. At even higher doping δ ≳ 20%, the SDW order is suppressed and the spin-singlet Cooper pair correlations are simultaneously enhanced. We also briefly comment on the strong particle-hole asymmetry of the model.
- Authors:
-
[1];
- Harvard University, Cambridge, MA (United States); Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing China)
- California State University, Northridge (CSUN), CA (United States)
- Harvard University, Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- California State Univ. (CalState), Long Beach, CA (United States); California State University, Northridge (CSUN), CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC); Central Universities; Chinese Academy of Sciences; Simons Foundation
- OSTI Identifier:
- 1979761
- Alternate Identifier(s):
- OSTI ID: 2203492
- Grant/Contract Number:
- FG02-06ER46305; 12074375; E0EG4303X2; 118900M026; XDB33000000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 20; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; frustrated magnetism; spin density waves; Mott insulators; strongly correlated systems; density matrix renormalization group
Citation Formats
Zhu, Zheng, Sheng, D. N., and Vishwanath, Ashvin. Doped Mott insulators in the triangular-lattice Hubbard model. United States: N. p., 2022.
Web. doi:10.1103/physrevb.105.205110.
Zhu, Zheng, Sheng, D. N., & Vishwanath, Ashvin. Doped Mott insulators in the triangular-lattice Hubbard model. United States. https://doi.org/10.1103/physrevb.105.205110
Zhu, Zheng, Sheng, D. N., and Vishwanath, Ashvin. Tue .
"Doped Mott insulators in the triangular-lattice Hubbard model". United States. https://doi.org/10.1103/physrevb.105.205110. https://www.osti.gov/servlets/purl/1979761.
@article{osti_1979761,
title = {Doped Mott insulators in the triangular-lattice Hubbard model},
author = {Zhu, Zheng and Sheng, D. N. and Vishwanath, Ashvin},
abstractNote = {Here we investigate the evolution of the Mott insulators in the triangular lattice Hubbard Model, as a function of hole doping δ in both the strong and intermediate coupling limits. Using the advanced density matrix renormalization group (DMRG) method, at light hole doping δ ≲ 10%, we find a significant difference between strong and intermediate couplings. Notably, at intermediate coupling an unusual metallic state emerges, with short ranged spin correlations but long ranged spin-chirality order. Moreover, no clear Fermi surface or wave vector is observed, this chiral metal also exhibits staggered loop current, which breaks the translational symmetry. These features disappear on increasing interaction strength or on further doping. At strong coupling, the 120 degree magnetic order of the insulating magnet persists for light doping, and produces hole pockets with a well-defined Fermi surface. On further doping, δ ≈ 10%~20% SDW order and coherent hole Fermi pockets are found at both strong and intermediate couplings. At even higher doping δ ≳ 20%, the SDW order is suppressed and the spin-singlet Cooper pair correlations are simultaneously enhanced. We also briefly comment on the strong particle-hole asymmetry of the model.},
doi = {10.1103/physrevb.105.205110},
journal = {Physical Review. B},
number = 20,
volume = 105,
place = {United States},
year = {Tue May 10 00:00:00 EDT 2022},
month = {Tue May 10 00:00:00 EDT 2022}
}
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