Scharf Benedikt, Van Tuan Dinh, Žutić Igor, Dery Hanan
Institute for Theoretical Physics and Astrophysics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany.
J Phys Condens Matter. 2019 May 22;31(20):203001. doi: 10.1088/1361-648X/ab071f. Epub 2019 Feb 14.
Monolayer transition-metal dichalcogenides (ML-TMDs) offer exciting opportunities to test the manifestations of many-body interactions through changes in the charge density. The two-dimensional character and reduced screening in ML-TMDs lead to the formation of neutral and charged excitons with binding energies orders of magnitude larger than those in conventional bulk semiconductors. Tuning the charge density by a gate voltage leads to profound changes in the optical spectra of excitons in ML-TMDs. On the one hand, the increased screening at large charge densities should result in a blueshift of the exciton spectral lines due to reduction in the binding energy. On the other hand, exchange and correlation effects that shrink the band-gap energy at elevated charge densities (band-gap renormalization) should result in a redshift of the exciton spectral lines. While these competing effects can be captured through various approximations that model long-wavelength charge excitations in the Bethe-Salpeter equation, we show that a novel coupling between excitons and shortwave charge excitations is essential to resolve several experimental puzzles. Unlike ubiquitous and well-studied plasmons, driven by collective oscillations of the background charge density in the long-wavelength limit, we discuss the emergence of shortwave plasmons that originate from the short-range Coulomb interaction through which electrons transition between the [Formula: see text] and [Formula: see text] valleys. The shortwave plasmons have a finite energy-gap because of the removal of spin-degeneracy in both the valence- and conduction-band valleys (a consequence of breaking of inversion symmetry in combination with strong spin-orbit coupling in ML-TMDs). We study the coupling between the shortwave plasmons and the neutral exciton through the self-energy of the latter. We then elucidate how this coupling as well as the spin ordering in the conduction band give rise to an experimentally observed optical sideband in electron-doped W-based MLs, conspicuously absent in electron-doped Mo-based MLs or any hole-doped ML-TMDs. While the focus of this review is on the optical manifestations of many-body effects in ML-TMDs, a systematic description of the dynamical screening and its various approximations allow one to revisit other phenomena, such as nonequilibrium transport or superconducting pairing, where the use of the Bethe-Salpeter equation or the emergence of shortwave plasmons can play an important role.
单层过渡金属二硫属化物(ML-TMDs)为通过电荷密度变化来测试多体相互作用的表现提供了令人兴奋的机会。ML-TMDs的二维特性和减弱的屏蔽作用导致形成了中性和带电激子,其结合能比传统体半导体中的结合能大几个数量级。通过栅极电压调节电荷密度会导致ML-TMDs中激子光谱发生深刻变化。一方面,在大电荷密度下增加的屏蔽作用应会由于结合能的降低而导致激子谱线蓝移。另一方面,在高电荷密度下缩小带隙能量的交换和关联效应(带隙重整化)应会导致激子谱线红移。虽然这些竞争效应可以通过各种在贝塞耳-萨尔皮特方程中对长波长电荷激发进行建模的近似方法来捕捉,但我们表明激子与短波电荷激发之间的一种新型耦合对于解决几个实验难题至关重要。与由长波长极限下背景电荷密度的集体振荡驱动的普遍存在且已得到充分研究的等离子体不同,我们讨论了源于短程库仑相互作用的短波等离子体的出现,通过这种相互作用电子在[公式:见正文]和[公式:见正文]谷之间跃迁。由于价带和导带谷中自旋简并的消除(这是ML-TMDs中反演对称性破缺与强自旋轨道耦合相结合的结果),短波等离子体具有有限的能隙。我们通过中性激子的自能研究短波等离子体与中性激子之间的耦合。然后我们阐明这种耦合以及导带中的自旋排序如何在电子掺杂的基于W的MLs中产生实验观察到的光学边带,而在电子掺杂的基于Mo的MLs或任何空穴掺杂的ML-TMDs中明显不存在这种边带。虽然本综述的重点是ML-TMDs中多体效应的光学表现,但对动态屏蔽及其各种近似方法的系统描述使人们能够重新审视其他现象,例如非平衡输运或超导配对,其中贝塞耳-萨尔皮特方程的使用或短波等离子体的出现可能发挥重要作用。