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Momentum-dependent quantum Hall surface states in acoustic nodal line semimetals

Mian Peng1,2,3,*, Qiang Wei2,3,*, Yongzhi Tian2, Zhenxing Cui1, Mou Yan2,3,†, Han Cai4,‡, Weiyin Deng5,§, Zhengyou Liu5,6, and Gang Chen1,2,3,¶

  • 1State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Laser spectroscopy, Shanxi University, Taiyuan 030006, China
  • 2Key Laboratory of Materials Physics of Ministry of Education, School of Physics, Zhengzhou University, Zhengzhou, China
  • 3Laboratory of Zhongyuan Light, School of Physics, Zhengzhou University, Zhengzhou 450001, China
  • 4State Key Laboratory for Extreme Photonics and Instrumentation, College of Optical Science and Engineering, Zhejiang University, Hangzhou, China
  • 5Key Laboratory of Artificial Micro- and Nanostructures of Ministry of Education and School of Physics and Technology, Wuhan University, Wuhan 430072, China
  • 6Institute for Advanced Studies, Wuhan University, Wuhan 430072, China

  • *These authors contributed equally to this work.
  • †Contact author: yanmou@zzu.edu.cn
  • ‡Contact author: hancai@zju.edu.cn
  • §Contact author: dengwy@whu.edu.cn
  • Contact author: chengang971@163.com

Phys. Rev. B 112, L020201 – Published 2 July, 2025

DOI: https://doi.org/10.1103/9sk7-7z6s

Abstract

For three-dimensional systems, discussing the possibility of implementing quantum Hall physics has been an enduring topic. Based on Weyl semimetals, pioneering works have proposed chiral Landau levels and three-dimensional quantum Hall effect. When the degenerate band extends from nodal points to nodal lines, the magnetic field can lead to various quantum Hall phenomena, such as the three-dimensional flat Landau levels. Usually, the above exotic phenomena are explored under a uniform magnetic field with a fixed direction and magnitude. Here, we obtain a momentum-dependent pseudomagnetic field in a nodal line semimetal by designing a gradient coupling. The resulting quantum Hall surface states exhibit momentum-dependent chiral and helical transport features. These findings are experimentally confirmed in the phononic crystal platform. The novel sound transport may pave the way for acoustic devices with unconventional functions.

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