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The Darboux transformation of a differential-difference equation associated with a 3 × 3 matrix spectral problem is derived. As an application, explicit soliton solutions of the differential-difference equation are presented. 相似文献
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In this paper, we study a differential-difference equation associated with discrete 3 × 3 matrix spectral problem. Based on gauge transformation of the spectral problm, Darboux transformation of the differential-difference equation is given. In order to solve the differential-difference equation, a systematic algebraic algorithm is given. As an application, explicit soliton solutions of the differential-difference equation are given. 相似文献
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Recently,θ-TaN was proposed to be a topological semimetal with a new type of triply degenerate nodal points.Here,we report studies of pressure dependence of transport,Raman spectroscopy and synchrotron x-ray diffraction on θ-TaN up to 61 GPa.We find that θ-TaN becomes superconductive above 24.6 GPa with T_c at 3.1 K.The θ-TaN is of n-type carrier nature with carrier density about 1.1 × 10~(20)/cm~3 at 1.2 GPa and 20 K, while the carrier density increases with the pressure and saturates at about 40 GPa in the measured range.However,there is no crystal structure transition with pressure up to 39 GPa,suggesting the topological nature of the pressure induced superconductivity. 相似文献
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采用高温高压手段,以单质硼粉和铬粉为原料,在压力为6GPa、温度为1 200℃的条件下成功制备出CrB2化合物。利用X射线衍射仪、X射线能谱仪、硬度检测仪和扫描电子显微镜,对合成产物进行了物性表征。结果表明:合成的CrB2固体为六方结构,空间群为P6/mmm,晶格常数a=0.297nm,b=0.307nm;合成样品的晶粒直径为5~40μm,结晶质量良好。硬度测试结果显示,高温高压合成的CrB2具有很高的硬度。对比实验条件和实验结果发现,温度和原料配比均影响CrB2的合成,提高原料中硼的比例有助于目标产物CrB2的形成。 相似文献
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Structure-Spin-Transport Anomaly in Quasi-One-Dimensional Ba_9Fe_3Te_(15) under High Pressure 下载免费PDF全文
Recently, a series of novel compounds Ba3MX5(M = Fe, Ti, V; X = Se, Te) with hexagonal crystal structures composed of quasi-1-dimensional(1D) magnetic chains has been synthesized by our research team using high-pressure and high-temperature methods. The initial hexagonal phases persist to the maximum achievable pressure, while spin configurations and magnetic interactions may change dramatically as a result of considerable reductions in interchain separations upon pressuriz... 相似文献
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A new compound with one-dimensional spin chains, Ba9Co3Se(15), was synthesized under high pressure and high temperature conditions and systematically characterized via structural, transport and magnetic measurements. Ba9Co3Se(15) crystallizes in a hexagonal structure with the space group P-6c2(No. 188) and lattice constants of a = b = 9.6765 ? and c = 18.9562 ?. The structure consists of trimeric face-sharing octahedral CoSe6 chains, which are arranged in a triangular lattice in the ab-plane and separated by Ba atoms. The distance of the nearest neighbor of CoSe6 chains is very large, given by the lattice constant a = 9.6765 ?. The Weiss temperature Tθ associated with the intra-chain coupling strength is about -346 K. However, no long-range magnetic order but a spin glass transition at ~ 3 K has been observed. Our results indicate that the spin glass behavior in Ba9Co3Se(15) mainly arises from the magnetic frustration due to the geometrically frustrated triangular lattice. 相似文献
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给出实的赋范空间中集值映射的Henig真有效解集的一些性质,并利用集值映射的相依上图导数和集值映射的次微分给出了集值优化问题Henig真有效解的最优性条件的充要条件. 相似文献
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