Bulletin of the American Physical Society
2024 APS March Meeting
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session DD01: V: Bilayers
5:30 AM–7:06 AM,
Tuesday, March 5, 2024
Room: Virtual Room 01
Sponsoring
Unit:
DCMP
Chair: Salvador Barraza-Lopez, University of Arkansas
Abstract: DD01.00003 : Quasiperiodicity enabled quasi-fractal order in narrow-band moir'e systems*
5:54 AM–6:06 AM
Presenter:
Eduardo V Castro
(University of Porto - FCUP)
Authors:
Eduardo V Castro
(University of Porto - FCUP)
Miguel Gonçalves
(IST - University of Lisbon)
Bruno Amorim
(University of Minho)
Flavio Riche
(IST - University of Lisbon)
Pedro Ribeiro
(IST - University of Lisbon)
In this talk, we will present recent theoretical efforts towards the understanding of the role played by quasiperiodity in moiré electron systems. We have theoretically demonstrated that quasiperiodicity in tBLG leads to the emergence of narrow band single-particle critical states (delocalized in both real and momentum space) with subbalistic transport properties [1].
To unveil the interplay between interactions and quasiperiodicity, we resort to a 1D illustrative example to demonstrate that quasiperiodicity can radically change the ground state properties of moiré systems [2]. While narrow bands play a significant role in enhancing interactions both for commensurate and incommensurate structures, only quasiperiodicity concomitant with critical states is able to extend the ordered phase down to an infinitesimal interaction strength. In this regime, the quasiperiodic-enabled state has contributions from infinitely many wave vectors. This quasi-fractal regime cannot be stabilized in the commensurate case even in the presence of a narrow band.
[1] Incommensurability-induced sub-ballistic narrow-band-states in twisted bilayer graphene
Miguel Gonçalves, Hadi Z. Olyaei, Bruno Amorim, Rubem Mondaini, Pedro Ribeiro, and Eduardo V. Castro
2D Mater. 9 011001 (2022)
doi: 10.1088/2053-1583/ac3259
[2] Incommensurability enabled quasi-fractal order in 1D narrow-band moiré systems
Miguel Gonçalves, Bruno Amorim, Flávio Riche, Eduardo V. Castro, and Pedro Ribeiro
arXiv: 2305.03800
https://arxiv.org/abs/2305.03800
*We acknowledge partial support from Fundação para a Ciência e Tecnologia (FCT-Portugal) through Grant No. UID/CTM/04540/2019, Grant No. UIDB/04650/2020, Grant SFRH/BD/145152/2019, and Grant No. CEECIND/02936/2017. Some computations were performed on Tianhe-2JK cluster at the Beijing Computational Science Research Center (CSRC).
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