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© 2018 IEEE. In 2-D van der Waals heterostructures, interactions between atomic layers dramatically change the vibrational properties of the hybrid system and demonstrate several interesting phenomena that are absent in individual materials. In this paper, we have investigated the vibrational properties of the heterostructure between transition metal dichalcogenide (TMD) and hexagonal boron nitride (hBN) on gold film at low- and high-frequency ranges by Raman spectroscopy. Nineteen Raman modes have been observed from the sample, including a new interlayer coupling mode at 28.8 cm-1. Compared to reported experimental results of tungsten disulfide (WS2) on SiO2/Si substrates, the Raman spectrum for WS2 on hBN/Au emerges a blue shift of about 8 cm-1. Furthermore, a remarkable enhancement of Raman intensity can be obtained when tuning hBN thickness in the heterostructure. Through systematic first-principles calculations, numerical simulations, and analytical calculations, we find that the 28.8 cm-1 mode originates from the shearing motion between monolayer TMD and hBN layers. In addition, the gold substrate and hBN layers form an optical cavity and the cavity interference effects enhance the obtained Raman intensity. This paper demonstrates the novel vibrational modes of 2-D van der Waals heterostructure as an effective tool to characterize a variety of such heterostructures and reveals a new method to enhance the Raman response of 2-D materials.

A broadband and scalable model is developed to accurately simulate on-chip inductors with various dimensions and substrate resistivities. The broadband accuracy is proven over frequencies of up to 20 GHz, even beyond resonance. A new scheme of resistance-inductance-capacitance networks is deployed for the spiral coils and substrate to account for 3-D eddy current, substrate return path, and spiral coil to substrate coupling effects. The 3-D eddy current is identified as the key element essential to accurately simulate the broadband characteristics. Electromagnetic simulation using the Advanced Design System momentum is conducted to predict the on-chip inductor performance corresponding to a wide range of substrate resistivities(PSi = 0.05-1 KOmega ldr cm) ldr Three operation modes such as transverse electromagnetic mode, slow-wave mode, and eddy current mode are reproduced. The model parameters manifest themselves as physics-based through relevant correlation with PSi over three operation modes. The onset of slow-wave mode can be consistently explained by a key element Rp introduced in our model, which accounts for the conductor loss due to an eddy current arising from magnetic field coupling through a substrate return path. This broadband and scalable model is useful for radio frequency circuit simulation. In addition, it can facilitate an optimum design of on-chip inductors through the physics-based model parameters relevant to varying substrate resistivities.