Titlebook: Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter; Abhijeet Alase Book 2019 Springer Nature Switzerland AG

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勾引

Low-Dimensional Structures in SemiconductorsWe analyze several 1D and 2D topological lattice Hamiltonians using the generalization of Bloch’s theorem developed in Chap. .. Apart from providing exact solutions for several important models, the analyses of various models in this chapter also serve as illustrations for using the framework of generalized Bloch theorem.

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无孔

Introduction,This chapter provides a non-technical overview of the field of topological insulators and superconductors. The current status and challenges in the theoretical investigations are discussed, which serve as the motivation for the work presented in the remainder of the chapters. A brief outline of all chapters is provided at the end.

千篇一律

Investigation of Topological Boundary States via Generalized Bloch Theorem,We analyze several 1D and 2D topological lattice Hamiltonians using the generalization of Bloch’s theorem developed in Chap. .. Apart from providing exact solutions for several important models, the analyses of various models in this chapter also serve as illustrations for using the framework of generalized Bloch theorem.

Muscularis

Summary and Outlook,The key findings of the previous chapters are summarized, along with possible directions of future research.

affinity

J. S. Rimmer,B. Hamilton,A. R. Peakerroken solely due to .. This generalization, which is made possible mainly by allowing the crystal momentum to take complex values, provides exact analytic expressions for . energy eigenvalues and eigenvectors of the system Hamiltonian. A remarkable consequence of this theorem is the predicted emerge

丰满中国

Low-Dimensional Structures in Semiconductors symmetry classes, to which one-dimensional non-trivial topological systems belong. A rigorous definition of “stability” of zero modes is provided with the aim of bringing clarity to various claims in the literature about topological “protection” of boundary-localized states. We also explore how the

单调女

Low-Dimensional Structures in Semiconductors non-Hermitian block-Toeplitz matrices, so as to keep the formalism as general as possible. There are two main takeaways as part of the proof of the generalized Bloch theorem: First, a simple yet effective separation of the time-independent Schrödinger equation into bulk and boundary equations is wh

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