|
|
|
|
| LEADER |
00000nam a22000005i 4500 |
| 001 |
b3258785 |
| 003 |
MWH |
| 005 |
20191120084846.0 |
| 007 |
cr nn 008mamaa |
| 008 |
191120s2019 gw | s |||| 0|eng d |
| 020 |
|
|
|a 9783030319601
|
| 024 |
7 |
|
|a 10.1007/978-3-030-31960-1
|2 doi
|
| 035 |
|
|
|a (DE-He213)978-3-030-31960-1
|
| 050 |
|
4 |
|a E-Book
|
| 072 |
|
7 |
|a PNFS
|2 bicssc
|
| 072 |
|
7 |
|a SCI077000
|2 bisacsh
|
| 072 |
|
7 |
|a PNFS
|2 thema
|
| 100 |
1 |
|
|a Alase, Abhijeet.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 245 |
1 |
0 |
|a Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter
|h [electronic resource] /
|c by Abhijeet Alase.
|
| 250 |
|
|
|a 1st ed. 2019.
|
| 264 |
|
1 |
|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2019.
|
| 300 |
|
|
|a XVII, 200 p. 23 illus., 19 illus. in color.
|b online resource.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
|
|
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
|
|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
|
| 490 |
1 |
|
|a Springer eBook Collection
|
| 505 |
0 |
|
|a Chapter1: Introduction -- Chapter2: Generalization of Bloch's theorem to systems with boundary -- Chapter3: Investigation of topological boundary states via generalized Bloch theorem -- Chapter4: Matrix factorization approach to bulk-boundary correspondence -- Chapter5: Mathematical foundations to the generalized Bloch theorem -- Chapter6: Summary and Outlook.
|
| 520 |
|
|
|a 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.
|
| 590 |
|
|
|a Loaded electronically.
|
| 590 |
|
|
|a Electronic access restricted to members of the Holy Cross Community.
|
| 650 |
|
0 |
|a Solid state physics.
|
| 650 |
|
0 |
|a Phase transitions (Statistical physics).
|
| 650 |
|
0 |
|a Mathematical physics.
|
| 650 |
|
0 |
|a Physics.
|
| 650 |
|
0 |
|a Semiconductors.
|
| 690 |
|
|
|a Electronic resources (E-books)
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer eBooks
|
| 830 |
|
0 |
|a Springer Theses, Recognizing Outstanding Ph.D. Research,
|x 2190-5053
|
| 830 |
|
0 |
|a Springer eBook Collection.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/978-3-030-31960-1
|3 Click to view e-book
|
| 907 |
|
|
|a .b32587855
|b 04-18-22
|c 02-26-20
|
| 998 |
|
|
|a he
|b 02-26-20
|c m
|d @
|e -
|f eng
|g gw
|h 0
|i 1
|
| 912 |
|
|
|a ZDB-2-PHA
|
| 950 |
|
|
|a Physics and Astronomy (Springer-11651)
|
| 902 |
|
|
|a springer purchased ebooks
|
| 903 |
|
|
|a SEB-COLL
|
| 945 |
|
|
|f - -
|g 1
|h 0
|j - -
|k - -
|l he
|o -
|p $0.00
|q -
|r -
|s b
|t 38
|u 0
|v 0
|w 0
|x 0
|y .i21719470
|z 02-26-20
|
| 999 |
f |
f |
|i 233b4337-d179-514a-b044-848545811bad
|s e8110e4d-6b94-5097-b80e-ae76e5ed389c
|
| 952 |
f |
f |
|p Online
|a College of the Holy Cross
|b Main Campus
|c E-Resources
|d Online
|e E-Book
|h Library of Congress classification
|i Elec File
|n 1
|