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This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.
Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Mathematical physics. --- Magnetism. --- Solid State Physics. --- Mathematical Methods in Physics. --- Magnetism, Magnetic Materials. --- Semiconductors. --- Physical mathematics --- Mathematical physics --- Electricity --- Magnetics --- Mathematics --- Topological insulators. --- Topological manifolds. --- Solid state physics. --- Physics. --- Magnetic materials. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Solids --- Crystalline semiconductors --- Semi-conductors --- Semiconducting materials --- Semiconductor devices --- Crystals --- Electrical engineering --- Electronics --- Solid state electronics --- Materials
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This book presents the transport studies of topological insulator thin films grown by molecular beam epitaxy. Through band structure engineering, the ideal topological insulators, (Bi1−xSbx)2Te3 ternary alloys, are successfully fabricated, which possess truly insulating bulk and tunable conducting surface states. Further transport measurements on these ternary alloys reveal a disentanglement between the magnetoelectric and thermoelectric properties. In magnetically doped topological insulators, the fascinating quantum anomalous Hall effect was experimentally observed for the first time. Moreover, the topology-driven magnetic quantum phase transition was Systematically controlled by varying the strength of the spin-orbital coupling. Readers will not only benefit from the description of the technique of transport measurements, but will also be inspired by the understanding of topological insulators.
Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Electric insulators and insulation --- Thin films. --- Thin films --- Surfaces (Physics). --- Condensed Matter Physics. --- Surfaces and Interfaces, Thin Films. --- Topological insulators. --- Surface chemistry --- Surfaces (Technology) --- Condensed matter. --- Materials—Surfaces. --- Films, Thin --- Solid film --- Solid state electronics --- Solids --- Coatings --- Thick films --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Materials --- Surface phenomena --- Friction --- Surfaces (Physics) --- Tribology --- Surfaces
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