Free shipping on all orders over $79* Limited Time Only
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter : Springer Theses - Abhijeet Alase

Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter

By: Abhijeet Alase

eText | 20 November 2019

At a Glance

eText

$239.00

or 4 interest-free payments of $59.75 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

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.

on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionScienceChemistryAnalytical ChemistrySpectrum AnalysisEngineering & TechnologyElectronics & Communications EngineeringElectronics EngineeringElectronic Devices & MaterialsSemi-Conductors & Super-ConductorsPhysicsMaterials & States of Matter
Condensed Matter Physics including Liquid State & Solid State PhysicsMathematical PhysicsMechanical Engineering & MaterialsMaterials Science

More in Materials & States of Matter

A Ripple in Space - Logan Tait

eBOOK

A Ripple in Space

eBook

$4.99

Physics behind Zulfiqar - Muhammad Mustafa Subhani

eBOOK

Physics behind Zulfiqar

eBook

$3.38

This product is categorised by