Competing phases of interacting electrons on triangular lattices in moiré heterostructures
Abstract
We study the quantum many-body instabilities of interacting electrons with SU(2) × SU(2) symmetry in spin and orbital degrees of freedom on the triangular lattice near van-Hove filling. Our work is motivated by effective models for the flat bands in hexagonal moiré heterostructures like twisted bilayer boron nitride and trilayer graphene-boron nitride systems. We consider an extended Hubbard model including onsite Hubbard and Hund's couplings, as well as nearest-neighbor exchange interactions, and analyze the different ordering tendencies with the help of an unbiased functional renormalization group approach. We find three classes of instabilities controlled by the filling and bare interactions. For a nested Fermi surface at van-Hove filling, Hund-like couplings induce a weak instability towards spin or orbital density wave phases. An SU(4) exchange interaction moves the system towards a Chern insulator, which is robust with respect to perturbations from Hund-like interactions or deviations from perfect nesting. Further, in an extended range of fillings and interactions, we find topological d ± id and (spin-singlet)-(orbital-singlet) f-wave superconductivity.
- Authors:
-
[1];
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- RWTH Aachen Univ., and JARA Fundamentals of Future Information Technology (Germany)
- Univ. of Cologne, Cologne (Germany)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1524562
- Alternate Identifier(s):
- OSTI ID: 1511893
- Report Number(s):
- BNL-211746-2019-JAAM
Journal ID: ISSN 2469-9950; PRBMDO
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 19; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Classen, Laura, Honerkamp, Carsten, and Scherer, Michael M. Competing phases of interacting electrons on triangular lattices in moiré heterostructures. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.195120.
Classen, Laura, Honerkamp, Carsten, & Scherer, Michael M. Competing phases of interacting electrons on triangular lattices in moiré heterostructures. United States. https://doi.org/10.1103/PhysRevB.99.195120
Classen, Laura, Honerkamp, Carsten, and Scherer, Michael M. Fri .
"Competing phases of interacting electrons on triangular lattices in moiré heterostructures". United States. https://doi.org/10.1103/PhysRevB.99.195120. https://www.osti.gov/servlets/purl/1524562.
@article{osti_1524562,
title = {Competing phases of interacting electrons on triangular lattices in moiré heterostructures},
author = {Classen, Laura and Honerkamp, Carsten and Scherer, Michael M.},
abstractNote = {We study the quantum many-body instabilities of interacting electrons with SU(2) × SU(2) symmetry in spin and orbital degrees of freedom on the triangular lattice near van-Hove filling. Our work is motivated by effective models for the flat bands in hexagonal moiré heterostructures like twisted bilayer boron nitride and trilayer graphene-boron nitride systems. We consider an extended Hubbard model including onsite Hubbard and Hund's couplings, as well as nearest-neighbor exchange interactions, and analyze the different ordering tendencies with the help of an unbiased functional renormalization group approach. We find three classes of instabilities controlled by the filling and bare interactions. For a nested Fermi surface at van-Hove filling, Hund-like couplings induce a weak instability towards spin or orbital density wave phases. An SU(4) exchange interaction moves the system towards a Chern insulator, which is robust with respect to perturbations from Hund-like interactions or deviations from perfect nesting. Further, in an extended range of fillings and interactions, we find topological d ± id and (spin-singlet)-(orbital-singlet) f-wave superconductivity.},
doi = {10.1103/PhysRevB.99.195120},
url = {https://www.osti.gov/biblio/1524562},
journal = {Physical Review B},
issn = {2469-9950},
number = 19,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}
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