1D Flat Bands in Phosphorene Nanoribbons with Pentagonal Nature

Shuo Sun; Jing-Yang You; Zhihao Cai; Jie Su; Tong Yang; Xinnan Peng; Yihe Wang; Daiyu Geng; Jian Gou; Yuli Huang; Sisheng Duan; Lan Chen; Kehui Wu; Andrew T S Wee; Yuan Ping Feng; Jia Lin Zhang; Jiong Lu; Baojie Feng; Wei Chen

doi:10.1002/adma.202411182

1D Flat Bands in Phosphorene Nanoribbons with Pentagonal Nature

Adv Mater. 2024 Dec 10:e2411182. doi: 10.1002/adma.202411182. Online ahead of print.

Authors

Shuo Sun^{1

2}, Jing-Yang You³, Zhihao Cai⁴, Jie Su², Tong Yang⁵, Xinnan Peng², Yihe Wang^{2

6}, Daiyu Geng⁴, Jian Gou³, Yuli Huang⁶, Sisheng Duan³, Lan Chen^{4

7}, Kehui Wu^{4

7}, Andrew T S Wee³, Yuan Ping Feng³, Jia Lin Zhang⁸, Jiong Lu², Baojie Feng^{4

9}, Wei Chen^{2

3

6}

Affiliations

¹ Department of Physics, Shanghai Key Laboratory of High Temperature Superconductors, Institute for Quantum Science and Technology, Shanghai University, Shanghai, 200444, China.
² Department of Chemistry, National University of Singapore, 3 Science Drive 3, Singapore, 117543, Singapore.
³ Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore, 117551, Singapore.
⁴ Institute of Physics, Chinese Academy of Sciences, School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100190, China.
⁵ Department of Applied Physics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong SAR, China.
⁶ Joint School of the National University of Singapore and Tianjin University, International Campus of Tianjin University, Binhai New City, Fuzhou, 350207, China.
⁷ Songshan Lake Materials Laboratory, Dongguan, Guangdong, 523808, China.
⁸ School of Physics, Southeast University, Nanjing, 211189, China.
⁹ Interdisciplinary Institute of Light-Element Quantum Materials and Research Center for Light-Element Advanced Materials, Peking University, Beijing, 100871, China.

PMID: 39659109
DOI: 10.1002/adma.202411182

Abstract

Materials with flat bands can serve as a promising platform to investigate strongly interacting phenomena. However, experimental realization of ideal flat bands is mostly limited to artificial lattices or moiré systems. Here, a general way is reported to construct 1D flat bands in phosphorene nanoribbons (PNRs) with a pentagonal nature: penta-hexa-PNRs and penta-dodeca-PNRs, wherein the corresponding 1D flat bands are directly verified by using angle-resolved photoemission spectroscopy. It is confirmed that the observed 1D flat bands originate from the electronic 1D zigzag and Lieb lattices, respectively, as revealed by the combination of bond-resolved scanning tunneling microscopy, scanning tunneling spectroscopy, tight-binding models, and first-principles calculations. The study demonstrates a general way to construct 1D flat bands in 1D solid materials system, which provides a robust platform to explore strongly interacting phases of matter.

Keywords: 1D Lieb lattice; 1D flat bands; 1D phosphorene nanoribbons (PNRs); 1D zigzag lattice; penta‐hexa‐PNRs and penta‐dodeca‐PNRs.

Abstract

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