Magnetic quantum oscillations in nanowires

大量当今最有趣的凝聚态系统可以归类为降维材料;例子包括层状铜酸盐和铜酸盐、有机导体、一些重费米子系统、半导体异质结构和纳米线。在大多数这些磁量子振荡的磁化（德哈斯-范阿尔芬（dHvA）效应）和/或电阻（舒布尼科夫-德哈斯（SdH）效应）被广泛用于测量费米表面和电子相关。在低维导体中发现了与传统三维振荡的本质偏离。该项目的目标之一是对多波段低维金属中的SdH和dHvA效应进行一致的研究，特别注意正则系综和巨正则系综之间的差异。也有重大的机会，发现独特的电流磁现象所产生的尺寸量子化的纳米线和纳米管，这是几乎任何横截面的纳米尺度和任何长度的制造使用现代纳米技术。考虑到纳米线的定量表征的巨大需求，该提案旨在发展金属纳米线中的磁量子振荡理论。我们预计，尺寸和磁能量子化之间的相互作用将通过新的磁量子振荡表现出来。预计这项研究将对当前强相关低维电子的实验和理论研究以及采用新型材料的纳米技术产生重大影响。关键词：量子振荡，低维金属，纳米线

A large number of today's most interesting condensed matter systems can be classified as materials of reduced dimensionality; examples include layered cuprates and ruthenates, organic conductors, some heavy-fermion systems, semiconductor heterostructures and nanowires. In most of these magnetic quantum oscillations of magnetization (the de Haas-van Alphen (dHvA) effect) and/or resistance (the Shubnikov-de Haas (SdH) effect) are extensively used to measure the Fermi-surface and electron correlations.. Essential deviations from the conventional three-dimensional oscillations have been found in low-dimensional conductors. A consistent investigation of the SdH and dHvA effects in multi-band low-dimensional metals, with a particular attention to the difference between canonical and grand canonical ensembles, is one of the project objectives. There are also significant opportunities for discovery of unique galvano-magnetic phenomena arising from the dimension quantization in nanowires and nanotubes, which are manufactured of almost any cross-section down to nanometer scale and of any length using modern nano-technologies. Taking into account a great demand for quantitative characterization of nanowires the proposal seeks to develop the theory of magnetic quantum oscillations in metallic nanowires. We expect that an interplay between size and magnetic energy-quantizations will manifest itself through novel magnetic quantum oscillations. A significant impact of this research is expected on the current experimental and theoretical studies of strongly-correlated low-dimensional electrons and on nano-technologies employing novel materials. Key words: quantum oscillations, low-dimensional metals, nanowires