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Observation of quantized exciton energies in monolayer WSe2under a strong magnetic field
Physical Review X ( IF 12.211 ) Pub Date : 
Tianmeng Wang, Zhipeng Li, Zhengguang Lu, Yunmei Li, Shengnan Miao, Zhen Lian, Yuze Meng, Mark Blei, Takashi Taniguchi, Kenji Watanabe, Sefaattin Tongay, Wang Yao, Dmitry Smirnov, Chuanwei Zhang, and Su-Fei Shi

Quantized energy levels are one of the hallmarks of quantum mechanics at the atomic level. The manifestation of quantization in macroscopic physical systems has showcased important quantum phenomena, such as quantized conductance in (fractional) quantum Hall effects and quantized vortices in superconductors. Here we report the first experimental observation of quantized exciton energies in a macroscopic system with strong Coulomb interaction, monolayer WSe~crystal under a strong magnetic field. Employing helicity resolved magneto-reflectance spectroscopy, we observe a striking ladder of plateaus as a function of the gate voltage for both exciton resonance in one valley and exciton-polariton branch in the opposite valley, thanks to the inter-Landau levels (LLs) transitions governed by unique valley-selective selection rules. The observed quantized excitation energy level spacing sensitively depends on the doping level, indicating strong many-body effects. Our work will inspire the study of intriguing quantum phenomena originating from the interplay between LLs and many-body interactions in two-dimension monolayer crystals.} {I. INTRODUCTION} Quantized energy is a fundamental property for physical systems at the atomic scale, such as the spectra of hydrogen atoms and single atom trapped in an optical tweezer~[1,2]. In some macroscopic quantum systems, quantized physical quantities, usually originating from topology, defect, or interaction, have also been observed and wellknown examples include quantized vortices in superfluids and superconductors~[3–5], quantum Hall effects (QHE)~[6–9], etc. Among them, quantized Hall conductance is one of the most striking phenomena in condensed matter physics. In two-dimension (2D) electron gases, the out-of-plane magnetic field forms quantized Landau Levels (LLs) for carries…….()~[10,11]. With low magnetic fields, the LLs lead to quantum oscillations such as the Shubnikov–de Haas (SdH) oscillations, while quantized Hall conductance emerges with a strong magnetic field due to the topological band of the highly-degenerate LLs…….()()()()…()()( ).()..()~[12–17]. Strong many-body interaction can lead to further fractionalization of quantized Hall conductance()()…(..).(..)~[18,19]. Monolayer transition metal dichalcogenides (TMDCs) offer an intrinsic 2D semiconductor system for the study of quantum physics with a magnetic field, where optical signature plays a major role in exploring material properties. In particular, the optically excited electron-hole pair forms exciton with large exciton binding energy of hundreds of meV()….()(..)~[20–23] because of the enhanced Coulomb interaction in 2D due to reduced screening. In monolayer TMDCs, the nontrivial Berry phase~[24–28] and strong spin-orbital coupling13 lead to a set of valley and spinpolarized LLs with unique transition rules…….()~[10,11]. The coexistence of such LLs and …
更新日期:2020-03-26

 

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