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Quantum Transport In Topological Materials, Jack William Zuber
Quantum Transport In Topological Materials, Jack William Zuber
University of Wollongong Thesis Collection 2017+
In this thesis, we examine five main transport properties: nonlinear optical conductivity, self-focusing, thermionic conductivity, photogalvanic conductivity and magneto-optical conductivity across a number of topological materials. In the case of Weyl, Dirac and gapped semimetals as well as the α-T3 model, minimal coupling Hamiltonia are able to capture multiple topological phases through the same equation. This allows us to survey nonlinear optical conductivity, self-focusing and thermionic conductivity for the nodal semimetals whilst only nonlinear conductivity is studied for the α-T3 lattice. Shift current generation and circularly polarised photogalvanic conductivity are uncovered for a symmetry broken nodal ring material …
H∞ Delayed Tracking Protocol Design Of Nonlinear Singular Multi-Agent Systems Under Markovian Switching Topology, Xiangli Jiang, Guihua Xia, Zhiguang Feng, Zhengyi Jiang
H∞ Delayed Tracking Protocol Design Of Nonlinear Singular Multi-Agent Systems Under Markovian Switching Topology, Xiangli Jiang, Guihua Xia, Zhiguang Feng, Zhengyi Jiang
Faculty of Engineering and Information Sciences - Papers: Part B
© 2020 Elsevier Inc. The consensus tracking of singular multi-agent systems (MASs) with Lipschitz-type nonlinearities and exogenous disturbances is researched in this paper. Governed by a Markov chain, the network interaction randomly switches in a directed graph set, where the directed spanning tree is not contained in each graph while exists in the union rooting at the leader node. By utilizing a collection of in-neighbors’ information that involves communication delay, the intention is to design a protocol such that the resultant consensus error system is stochastic admissible with an H∞ disturbance attenuation level. Based on algebraic graph theory, stochastic admissibility …