Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal

Abstract When electrons moving in two dimensions (2D) are subjected to a strong uniform magnetic field, they form flat bands called Landau levels (LLs). LLs can also arise from pseudomagnetic fields (PMFs) induced by lattice distortions. In three-dimensional (3D) systems, there has been no experimen...

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Main Authors: Zheyu Cheng, Yi-Jun Guan, Haoran Xue, Yong Ge, Ding Jia, Yang Long, Shou-Qi Yuan, Hong-Xiang Sun, Yidong Chong, Baile Zhang
Format: Article
Language:English
Published: Nature Portfolio 2024-03-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-46517-z
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author Zheyu Cheng
Yi-Jun Guan
Haoran Xue
Yong Ge
Ding Jia
Yang Long
Shou-Qi Yuan
Hong-Xiang Sun
Yidong Chong
Baile Zhang
author_facet Zheyu Cheng
Yi-Jun Guan
Haoran Xue
Yong Ge
Ding Jia
Yang Long
Shou-Qi Yuan
Hong-Xiang Sun
Yidong Chong
Baile Zhang
author_sort Zheyu Cheng
collection DOAJ
description Abstract When electrons moving in two dimensions (2D) are subjected to a strong uniform magnetic field, they form flat bands called Landau levels (LLs). LLs can also arise from pseudomagnetic fields (PMFs) induced by lattice distortions. In three-dimensional (3D) systems, there has been no experimental demonstration of LLs  as a type of flat band thus far. Here, we report the experimental realization of a flat 3D LL in an acoustic crystal. Starting from a lattice whose bandstructure exhibits a nodal ring, we design an inhomogeneous distortion corresponding to a specific pseudomagnetic vector potential (PVP). This distortion causes the nodal ring states to break up into LLs, including a zeroth LL that is flat along all three directions. These findings suggest the possibility of using nodal ring materials to generate 3D flat bands, allowing access to strong interactions and other attractive physical regimes in 3D.
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spelling doaj.art-afd4f3c529124468b5833eed84dad2332024-03-17T12:31:37ZengNature PortfolioNature Communications2041-17232024-03-011511810.1038/s41467-024-46517-zThree-dimensional flat Landau levels in an inhomogeneous acoustic crystalZheyu Cheng0Yi-Jun Guan1Haoran Xue2Yong Ge3Ding Jia4Yang Long5Shou-Qi Yuan6Hong-Xiang Sun7Yidong Chong8Baile Zhang9Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological UniversityResearch Center of Fluid Machinery Engineering and Technology, School of Physics and Electronic Engineering, Jiangsu UniversityDepartment of Physics, The Chinese University of Hong KongResearch Center of Fluid Machinery Engineering and Technology, School of Physics and Electronic Engineering, Jiangsu UniversityResearch Center of Fluid Machinery Engineering and Technology, School of Physics and Electronic Engineering, Jiangsu UniversityDivision of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological UniversityResearch Center of Fluid Machinery Engineering and Technology, School of Physics and Electronic Engineering, Jiangsu UniversityResearch Center of Fluid Machinery Engineering and Technology, School of Physics and Electronic Engineering, Jiangsu UniversityDivision of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological UniversityDivision of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological UniversityAbstract When electrons moving in two dimensions (2D) are subjected to a strong uniform magnetic field, they form flat bands called Landau levels (LLs). LLs can also arise from pseudomagnetic fields (PMFs) induced by lattice distortions. In three-dimensional (3D) systems, there has been no experimental demonstration of LLs  as a type of flat band thus far. Here, we report the experimental realization of a flat 3D LL in an acoustic crystal. Starting from a lattice whose bandstructure exhibits a nodal ring, we design an inhomogeneous distortion corresponding to a specific pseudomagnetic vector potential (PVP). This distortion causes the nodal ring states to break up into LLs, including a zeroth LL that is flat along all three directions. These findings suggest the possibility of using nodal ring materials to generate 3D flat bands, allowing access to strong interactions and other attractive physical regimes in 3D.https://doi.org/10.1038/s41467-024-46517-z
spellingShingle Zheyu Cheng
Yi-Jun Guan
Haoran Xue
Yong Ge
Ding Jia
Yang Long
Shou-Qi Yuan
Hong-Xiang Sun
Yidong Chong
Baile Zhang
Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
Nature Communications
title Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
title_full Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
title_fullStr Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
title_full_unstemmed Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
title_short Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
title_sort three dimensional flat landau levels in an inhomogeneous acoustic crystal
url https://doi.org/10.1038/s41467-024-46517-z
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