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Title: Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice

Abstract

Inspired by the recent discovery of correlated insulating states in twisted bilayer graphene, we study a two-orbital Hubbard model on the honeycomb lattice with two electrons per unit cell. Based on the real-space density matrix renormalization group simulation, we identify a metal-insulator transition around Uc/t = 2.5–3. In the vicinity of Uc, we find strong spin-orbital density wave fluctuations at commensurate wave vectors, accompanied by weaker incommensurate charge density wave fluctuations. Here, the spin-orbital density wave fluctuations are enhanced with increasing system sizes, suggesting the possible emergence of long-range order in the two-dimensional limit. At larger U, our calculations indicate a possible nonmagnetic Mott insulator phase without spin or orbital polarization. Our findings offer new insight into correlated electron phenomena in twisted bilayer graphene and other multiorbital honeycomb materials.

Authors:
 [1];  [2];  [3]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); California State Univ., Northridge, CA (United States); Harvard Univ., Cambridge, MA (United States)
  2. California State Univ., Northridge, CA (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
California State Univ. (CalState), Long Beach, CA (United States); Stanford Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1609733
Alternate Identifier(s):
OSTI ID: 1558736
Grant/Contract Number:  
FG02-06ER46305; AC02-76SF00515; DEFG02-06ER46305
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 123; Journal Issue: 8; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Physics; Charge density waves; Metal-insulator transition; Spin density waves; Spin-orbit coupling; Graphene; Hubbard model

Citation Formats

Zhu, Zheng, Sheng, Donna N., and Fu, Liang. Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice. United States: N. p., 2019. Web. https://doi.org/10.1103/physrevlett.123.087602.
Zhu, Zheng, Sheng, Donna N., & Fu, Liang. Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice. United States. https://doi.org/10.1103/physrevlett.123.087602
Zhu, Zheng, Sheng, Donna N., and Fu, Liang. Fri . "Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice". United States. https://doi.org/10.1103/physrevlett.123.087602. https://www.osti.gov/servlets/purl/1609733.
@article{osti_1609733,
title = {Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice},
author = {Zhu, Zheng and Sheng, Donna N. and Fu, Liang},
abstractNote = {Inspired by the recent discovery of correlated insulating states in twisted bilayer graphene, we study a two-orbital Hubbard model on the honeycomb lattice with two electrons per unit cell. Based on the real-space density matrix renormalization group simulation, we identify a metal-insulator transition around Uc/t = 2.5–3. In the vicinity of Uc, we find strong spin-orbital density wave fluctuations at commensurate wave vectors, accompanied by weaker incommensurate charge density wave fluctuations. Here, the spin-orbital density wave fluctuations are enhanced with increasing system sizes, suggesting the possible emergence of long-range order in the two-dimensional limit. At larger U, our calculations indicate a possible nonmagnetic Mott insulator phase without spin or orbital polarization. Our findings offer new insight into correlated electron phenomena in twisted bilayer graphene and other multiorbital honeycomb materials.},
doi = {10.1103/physrevlett.123.087602},
journal = {Physical Review Letters},
number = 8,
volume = 123,
place = {United States},
year = {2019},
month = {8}
}

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    Works referencing / citing this record:

    Valence Bond Orders at Charge Neutrality in a Possible Two-Orbital Extended Hubbard Model for Twisted Bilayer Graphene
    journal, October 2019