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

Zhu, Zheng; Sheng, Donna N.; Fu, Liang

doi:10.1103/physrevlett.123.087602

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

Journal Article · Fri Aug 23 00:00:00 EDT 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.123.087602· OSTI ID:1609733

Zhu, Zheng ^[1]; Sheng, Donna N. ^[2]; Fu, Liang ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); California State Univ., Northridge, CA (United States); Harvard Univ., Cambridge, MA (United States); DOE/OSTI
California State Univ., Northridge, CA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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 U_c/t = 2.5–3. In the vicinity of U_c, 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.

View Accepted Manuscript (DOE)

Research Organization:: California State Univ. (CalState), Long Beach, CA (United States); Stanford Univ., CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-06ER46305; AC02-76SF00515

OSTI ID:: 1609733

Alternate ID(s):: OSTI ID: 1558736
OSTI ID: 1865371

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 8 Vol. 123; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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

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