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Melting of electronic/excitonic crystals in 2D semiconductor moiré patterns: A perspective from the Lindemann criterion |
| Jiyong Zhou(周纪勇)1, Jianju Tang(唐剑炬)1, and Hongyi Yu(俞弘毅)1,2,† |
1 Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing&School of Physics and Astronomy, Sun Yat-Sen University(Zhuhai Campus), Zhuhai 519082, China;
2 State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, Guangzhou 510275, China |
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Abstract Using the Lindemann criterion, we analyzed the quantum and thermal melting of electronic/excitonic crystals recently discovered in two-dimensional (2D) semiconductor moiré patterns. We show that the finite 2D screening of the atomically thin material can suppress (enhance) the inter-site Coulomb (dipolar) interaction strength, thus inhibits (facilitates) the formation of the electronic (excitonic) crystal. Meanwhile, a strong enough moiré confinement is found to be essential for realizing the crystal phase with a wavelength near 10 nm or shorter. From the calculated Lindemann ratio which quantifies the fluctuation of the site displacement, we estimate that the crystal will melt into a liquid above a critical temperature ranging from several tens Kelvin to above 100 K (depending on the system parameters).
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Received: 04 June 2023
Revised: 12 July 2023
Accepted manuscript online: 26 July 2023
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| Fund: H.Y. acknowledges support by the National Natural Science Foundation of China (Grant No. 12274477) and the Department of Science and Technology of Guangdong Province of China (Grant No. 2019QN01X061). |
Corresponding Authors:
Hongyi Yu
E-mail: yuhy33@mail.sysu.edu.cn
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Cite this article:
Jiyong Zhou(周纪勇), Jianju Tang(唐剑炬), and Hongyi Yu(俞弘毅) Melting of electronic/excitonic crystals in 2D semiconductor moiré patterns: A perspective from the Lindemann criterion 2023 Chin. Phys. B 32 107308
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