A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
2016
|
| Series: | Lecture Notes in Physics
919 |
| Subjects: | |
| Online Access: | Volltext Abstract Inhaltsverzeichnis |
| Physical Description: | 1 Online Ressource (XIII, 166 p. 44 illus., 23 illus. in color) |
| ISBN: | 9783319256078 9783319256054 |
| DOI: | 10.1007/978-3-319-25607-8 |
Staff View
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Record in the Search Index
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| adam_text | A SHORT COURSE ON TOPOLOGICAL INSULATORS
/ ASBOTH, JANOS K.
: 2016
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
A SHORT COURSE ON TOPOLOGICAL INSULATORS
/ ASBOTH, JANOS K.
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE SU-SCHRIEFFER-HEEGER (SSH) MODEL
BERRY PHASE, CHERN NUMBER
POLARIZATION AND BERRY PHASE.-ADIABATIC CHARGE PUMPING, RICE-MELE
MODEL.-CURRENT OPERATOR AND PARTICLE PUMPING.-TWO-DIMENSIONAL CHERN
INSULATORS – THE QI-WU-ZHANG MODEL.-CONTINUUM MODEL OF LOCALIZED
STATES AT A DOMAIN WALL.-TIME-REVERSAL SYMMETRIC TWO-DIMENSIONAL
TOPOLOGICAL INSULATORS –THE BERNEVIG–HUGHES–ZHANG MODEL.-THE Z2
INVARIANT OF TWO-DIMENSIONAL TOPOLOGICAL INSULATORS.-ELECTRICAL
CONDUCTION OF EDGE STATES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author_role | aut aut aut |
| author_sort | Asbóth, János K. |
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| discipline | Physik |
| doi_str_mv | 10.1007/978-3-319-25607-8 |
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| language | English |
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| spelling | Asbóth, János K. Verfasser aut A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions János K. Asbóth, László Oroszlány, András Pályi Cham Springer 2016 1 Online Ressource (XIII, 166 p. 44 illus., 23 illus. in color) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Physics 919 Physics Solid state physics Magnetism Magnetic materials Semiconductors Solid State Physics Mathematical Methods in Physics Magnetism, Magnetic Materials Topologischer Isolator (DE-588)1035519526 gnd rswk-swf Topologischer Isolator (DE-588)1035519526 s 1\p DE-604 Oroszlány, László Verfasser aut Pályi, András Verfasser aut Lecture Notes in Physics 919 (DE-604)BV013615055 919 https://doi.org/10.1007/978-3-319-25607-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840900&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840900&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Asbóth, János K. Oroszlány, László Pályi, András A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions Lecture Notes in Physics Physics Solid state physics Magnetism Magnetic materials Semiconductors Solid State Physics Mathematical Methods in Physics Magnetism, Magnetic Materials Topologischer Isolator (DE-588)1035519526 gnd |
| subject_GND | (DE-588)1035519526 |
| title | A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions |
| title_auth | A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions |
| title_exact_search | A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions |
| title_full | A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions János K. Asbóth, László Oroszlány, András Pályi |
| title_fullStr | A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions János K. Asbóth, László Oroszlány, András Pályi |
| title_full_unstemmed | A Short Course on Topological Insulators Band Structure and Edge States in One and Two Dimensions János K. Asbóth, László Oroszlány, András Pályi |
| title_short | A Short Course on Topological Insulators |
| title_sort | a short course on topological insulators band structure and edge states in one and two dimensions |
| title_sub | Band Structure and Edge States in One and Two Dimensions |
| topic | Physics Solid state physics Magnetism Magnetic materials Semiconductors Solid State Physics Mathematical Methods in Physics Magnetism, Magnetic Materials Topologischer Isolator (DE-588)1035519526 gnd |
| topic_facet | Physics Solid state physics Magnetism Magnetic materials Semiconductors Solid State Physics Mathematical Methods in Physics Magnetism, Magnetic Materials Topologischer Isolator |
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