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  Engineering Three Dimensional Moiré Flat Bands

Xian, L. D., Fischer, A., Claassen, M., Zhang, J., Rubio, A., & Kennes, D. M. (2020). Engineering Three Dimensional Moiré Flat Bands.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0007-99EB-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0007-99EC-3
Genre: Paper

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2012.09649.pdf (Preprint), 11MB
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2012.09649.pdf
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Downloaded from arxiv.org: 2020-12-18
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2020
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https://arxiv.org/abs/2012.09649 (Preprint)
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 Creators:
Xian, L. D.1, 2, 3, Author              
Fischer, A.4, Author
Claassen, M.5, Author
Zhang, J.2, 3, Author              
Rubio, A.2, 3, 6, 7, Author              
Kennes, D. M.2, 3, 4, Author              
Affiliations:
1Songshan Lake Materials Laboratory, ou_persistent22              
2Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
3Center for Free Electron Laser Science, ou_persistent22              
4Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology, ou_persistent22              
5Department of Physics and Astronomy, University of Pennsylvania, ou_persistent22              
6Center for Computational Quantum Physics, Simons Foundation Flatiron Institute, ou_persistent22              
7Nano-Bio Spectroscopy Group, Departamento de Fisica de Materiales, Universidad del País Vasco, UPV/EHU, ou_persistent22              

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 Abstract: We demonstrate that the concept of moiré flat bands can be generalized to achieve electronic band engineering in all three spatial dimensions. For many two dimensional van der Waals materials, twisting two adjacent layers with respect to each other leads to flat electronic bands in the two corresponding spatial directions -- a notion sometimes referred to as twistronics as it enables a wealth of physical phenomena. Within this two dimensional plane, large moiré patterns of nanometer size form. The basic concept we propose here is to stack multiple twisted layers on top of each other in a predefined pattern. If the pattern is chosen such that with respect to the stacking direction of layers, the large spatial moiré features are spatially shifted from one twisted layer to the next, the system exhibits twist angle controlled flat bands in all of the three spatial directions. With this, our proposal extends the use of twistronic to three dimensions. We exemplify the general concept by considering graphitic systems, boron nitride and WSe2 as candidate materials, but the approach is applicable to any two-dimensional van der Waals material. For hexagonal boron nitride we develope an ab initio fitted tight binding model that captures the corresponding three dimensional low-energy electronic structure. We outline that interesting three dimensional correlated phases of matter can be induced and controlled following this route, including quantum magnets and unconventional superconducting states.

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Language(s): eng - English
 Dates: 2020-12-17
 Publication Status: Published online
 Pages: 27
 Publishing info: -
 Table of Contents: -
 Rev. Type: No review
 Identifiers: arXiv: 2012.09649
 Degree: -

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