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Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter
Resource Information
The work ** Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter** represents a distinct intellectual or artistic creation found in **Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter
Resource Information

The work

**Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter**represents a distinct intellectual or artistic creation found in**Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter

- Statement of responsibility
- by Abhijeet Alase

- Language
- eng

- Summary
- This thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch's Theorem which is applicable whenever translational symmetry is broken solely due to arbitrary boundary conditions. The thesis begins with a historical overview of topological condensed matter physics, placing the work in context, before introducing the generalized form of Bloch's Theorem. A cornerstone of electronic band structure and transport theory in crystalline matter, Bloch's Theorem is generalized via a reformulation of the diagonalization problem in terms of corner-modified block-Toeplitz matrices and, physically, by allowing the crystal momentum to take complex values. This formulation provides exact expressions for all the energy eigenvalues and eigenstates of the single-particle Hamiltonian. By precisely capturing the interplay between bulk and boundary properties, this affords an exact analysis of several prototypical models relevant to symmetry-protected topological phases of matter, including a characterization of zero-energy localized boundary excitations in both topological insulators and superconductors. Notably, in combination with suitable matrix factorization techniques, the generalized Bloch Hamiltonian is also shown to provide a natural starting point for a unified derivation of bulk-boundary correspondence for all symmetry classes in one dimension

- http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
- BfabK1I1zao

- Image bit depth
- 0

- LC call number
- QC176-176.9

- Literary form
- non fiction

- Series statement
- Springer Theses, Recognizing Outstanding Ph.D. Research,

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