Title: Topological sliding moiré heterostructure

Journal Article · · Physical Review. B

In this work, we investigate the effect of the sliding motion of layers in moiré heterostructures on the electronic state. We show that the sliding moiré heterostructure can generate nontrivial topology characterized by the first and second Chern number in the high-dimensional manifold spanned by the physical dimensions and synthetic dimensions associated with the sliding displacement. The nontrivial topology implies a topological charge pumping caused by the sliding motion. We demonstrate the nontrivial topology and charge pumping explicitly in a one-dimensional bichain model and small-angle twisted bilayer graphene. Contrary to the conventional belief that the interlayer sliding in incommensurate moiré heterostructures does not affect the electronic structure, our results reveal that the sliding motion can generate nontrivial topology dynamically and hence cannot be neglected in the dynamical process.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1760569
Report Number(s):
LA-UR--19-30658
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 4 Vol. 101; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (47)

Moire bands in twisted double-layer graphene journal July 2011
Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices journal May 2013
Cloning of Dirac fermions in graphene superlattices journal May 2013
Van der Waals heterostructures journal July 2013
Exploring 4D quantum Hall physics with a 2D topological charge pump journal January 2018
Photonic topological boundary pumping as a probe of 4D quantum Hall physics journal January 2018
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal March 2018
Unconventional superconductivity in magic-angle graphene superlattices journal March 2018
Composite fermions and broken symmetries in graphene journal January 2015
Cleaning interfaces in layered materials heterostructures journal December 2018
Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice journal January 2019
Signatures of tunable superconductivity in a trilayer graphene moiré superlattice journal July 2019
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene journal October 2019
Strongly correlated Chern insulators in magic-angle twisted bilayer graphene journal December 2020
Generalization of Dirac’s monopole to SU 2 gauge fields journal January 1978
Moire bands in twisted double-layer graphene journal July 2011
Topological charge pumping by a sliding moiré pattern journal January 2020
Topological charge pumping in twisted bilayer graphene journal January 2020
Quantization of particle transport journal May 1983
Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors journal August 2006
Continuum model of the twisted graphene bilayer journal October 2012
Six-dimensional quantum Hall effect and three-dimensional topological pumps journal September 2018
Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites journal December 2018
Nearly flat Chern bands in moiré superlattices journal February 2019
Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal journal November 2013
Four-Dimensional Quantum Hall Effect with Ultracold Atoms journal November 2015
Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers journal July 2006
Graphene Bilayer with a Twist: Electronic Structure journal December 2007
Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene journal September 2018
Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene journal September 2018
Berry phase effects on electronic properties journal July 2010
Massive Dirac Fermions and Hofstadter Butterfly in a van der Waals Heterostructure journal May 2013
A Four-Dimensional Generalization of the Quantum Hall Effect journal October 2001
Twistable electronics with dynamically rotatable heterostructures journal August 2018
Tuning superconductivity in twisted bilayer graphene journal January 2019
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene journal July 2019
Moire bands in twisted double-layer graphene text January 2010
Cloning of Dirac fermions in graphene superlattices text January 2012
Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal text January 2013
Four-Dimensional Quantum Hall Effect with Ultracold Atoms text January 2015
Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene text January 2018
Twistable electronics with dynamically rotatable heterostructures text January 2018
Tuning superconductivity in twisted bilayer graphene text January 2018
Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites text January 2018
Topological charge pumping in twisted bilayer graphene text January 2019
Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors text January 2005
Quantum Spin Hall Effect and Topologically Invariant Chern Numbers text January 2006

Cited By (3)

Topological charge pumping by a sliding moiré pattern journal January 2020
Topological charge pumping in twisted bilayer graphene journal January 2020
Topological charge pumping in twisted bilayer graphene text January 2019