157 research outputs found

    Effects of Interface Disorder on Valley Splitting in SiGe/Si/SiGe Quantum Wells

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    A sharp potential barrier at the Si/SiGe interface introduces valley splitting (VS), which lifts the 2-fold valley degeneracy in strained SiGe/Si/SiGe quantum wells (QWs). This work examines in detail the effects of Si/SiGe interface disorder on the VS in an atomistic tight binding approach based on statistical sampling. VS is analyzed as a function of electric field, QW thickness, and simulation domain size. Strong electric fields push the electron wavefunctions into the SiGe buffer and introduce significant VS fluctuations from device to device. A Gedankenexperiment with ordered alloys sheds light on the importance of different bonding configurations on VS. We conclude that a single SiGe band offset and effective mass cannot comprehend the complex Si/SiGe interface interactions that dominate VS.Comment: 5 figure

    Million Atom Electronic Structure and Device Calculations on Peta-Scale Computers

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    Semiconductor devices are scaled down to the level which constituent materials are no longer considered continuous. To account for atomistic randomness, surface effects and quantum mechanical effects, an atomistic modeling approach needs to be pursued. The Nanoelectronic Modeling Tool (NEMO 3-D) has satisfied the requirement by including emprical sp3s∗sp^{3}s^{*} and sp3d5s∗sp^{3}d^{5}s^{*} tight binding models and considering strain to successfully simulate various semiconductor material systems. Computationally, however, NEMO 3-D needs significant improvements to utilize increasing supply of processors. This paper introduces the new modeling tool, OMEN 3-D, and discusses the major computational improvements, the 3-D domain decomposition and the multi-level parallelism. As a featured application, a full 3-D parallelized Schr\"odinger-Poisson solver and its application to calculate the bandstructure of ή\delta doped phosphorus(P) layer in silicon is demonstrated. Impurity bands due to the donor ion potentials are computed.Comment: 4 pages, 6 figures, IEEE proceedings of the 13th International Workshop on Computational Electronics, Tsinghua University, Beijing, May 27-29 200

    Multiple solutions for a nonhomogeneous Schr\"odinger-Maxwell system in R3R^3

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    The paper considers the following nonhomogeneous Schr\"odinger-Maxwell system -\Delta u + u+\lambda\phi (x) u =|u|^{p-1}u+g(x),\ x\in \mathbb{R}^3, -\Delta\phi = u^2, \ x\in \mathbb{R}^3, . \leqno{(SM)} where λ>0\lambda>0, p∈(1,5)p\in(1,5) and g(x)=g(∣x∣)∈L2(R3)∖0g(x)=g(|x|)\in L^2(\mathbb{R}^3)\setminus{0}. There seems no any results on the existence of multiple solutions to problem (SM) for p∈(1,3]p \in (1,3]. In this paper, we find that there is a constantCp>0C_p>0 such that problem (SM) has at least two solutions for all p∈(1,5)p\in (1,5) provided ∄g∄L2≀Cp\|g\|_{L^2} \leq C_p, but only for p∈(1,2]p\in(1,2] we need λ>0\lambda>0 is small. Moreover, Cp=(p−1)2p[(p+1)Sp+12p]1/(p−1)C_p=\frac{(p-1)}{2p}[\frac{(p+1)S^{p+1}}{2p}]^{1/(p-1)}, where SS is the Sobolev constant.Comment: 12 page

    Atomic-scale insights into the low-temperature oxidation of methanol over a single-atom Pt1-Co3O4 catalyst

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    Heterogeneous catalysts with single‐atom active sites offer a means of expanding the industrial application of noble metal catalysts. Herein, an atomically dispersed Pt1‐Co3O4 catalyst is presented, which exhibits an exceptionally high efficiency for the total oxidation of methanol. Experimental and theoretical investigations indicate that this catalyst consists of Pt sites with a large proportion of occupied high electronic states. These sites possess a strong affinity for inactive Co2+ sites and anchor over the surface of (111) crystal plane, which increases the metal–support interaction of the Pt1‐Co3O4 material and accelerates the rate of oxygen vacancies regeneration. In turn, this is determined to promote the coadsorption of the probe methanol molecule and O2. Density functional theory calculations confirm that the electron transfer over the oxygen vacancies reduces both the methanol adsorption energy and activation barriers for methanol oxidation, which is proposed to significantly enhance the dissociation of the CH bond in the methanol decomposition reaction. This investigation serves as a solid foundation for characterizing and understanding single‐atom catalysts for heterogeneous oxidation reactions
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