Topological insulators:
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Amsterdam
Elsevier
2013
|
| Edition: | 1. ed. |
| Series: | Contemporary concepts of condensed matter science
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 331 S. Ill., graph. Darst. |
| ISBN: | 9780444633149 |
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| 245 | 1 | 0 | |a Topological insulators |c [vol. ed.:] Marcel Franz ; Laurens Molenkamp |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Amsterdam |b Elsevier |c 2013 | |
| 300 | |a XVI, 331 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Contemporary concepts of condensed matter science |v 6 | |
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| 650 | 4 | |a Energy-band theory of solids | |
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Record in the Search Index
| _version_ | 1804152081380016128 |
|---|---|
| adam_text | Contents
List of Contributors
xi
Series Preface
xiii
Volume Preface
xv
Part I
Theoretical Foundations
1.
Topological Band Theory and the Z2 Invariant
C.I. Kane
1.
Introduction
4
2.
Topology and Band Theory
4
2.1.
Topology
5
2.2.
Band Theory
6
23.
Topologicul
Band Theory and the Bulk-Boundary
Correspondence
7
2.4
Berry Phase, and the1 Chern Invariant
7
3.
Illustrative Example: Polarization and Topology in One Dimension
9
3.1.
Polari/alion
as a Berry Phase
9
3.2.
Su,
Sc hrieffer,
I leeger MocJel
1 1
3.3.
Domain Wall States and the Jackiw
Rebbi
Model
12
3.4.
Thouless Charge Pump, and the Chern Invariant
14
4.
Integer Quantum Hall Effect
14
4.1.
Laughlin Argument, and the TKNN Invariant
15
4.2.
Haldane Model
16
4.3.
Chiral Edge States, and the Bulk Boundary
Correspondence
Ί
8
5.
7Δ-2.
Topological Insulators
20
5.1.
Quantum Spin Hall Insulator in Graphene
20
5.2.
rLi Topological Invariant
22
5.3.
Topological Insulators in Three Dimensions
26
6.
Related Topics
29
6.1.
Topological Crystaline Insulators
29
6.2.
Topological Nodal Semimetals
30
6.3.
Topological Superconductivity
31
6.4.
Topological Defects
32
Acknowledgments
33
References
33
(
(intents
VI
2.
Theory of Three-Dimensional
Topological
Insulators
¡ovi I
.
Moon·
1.
Introduction
·· ·
2.
Topologie al
Properties of Hand Strut
tures
M
2.1.
Building the >l) I opologu <i! Insulator
ltom
.4 >
И»
2.2.
Materials CeinsieJerations
ł
;
2..4.
li(»rry Phases
oí
Hl<)(
li
I le< Irons
.ind
<
hem
Simons
Torri)
oí
Z. Invariant
-l-l
2.4.
Time-Keversal
líreaking,
Suri.
к с
I l.ill
!
Пес
t,
.ìiuì
Magne loelectrie Response I
»
Л.
Transport
in Topologie al
Surface
States
and Real-Spa« e Geometry
4»
4.
Consequences of Strong I lee Ironic Interac lions r>0
4.1.
Defining the
M
)
topologic al Insul.
»U»i with
Inler.K lions
)
I
4.2.
Supere
ondiK tinj» Proximity I He« I
>.
43.
Fractional
Topologie
<il Insulators
>
î
4.4.
Kelaleel Sltili S in
І Іігеч» І
)imensions VI
Acknowledgments
ЧИ
Reference s
. ». >
3.
Models and Materials for Topological Insulators
Chaoxing I iu and
Sfioucfionţ·
/hung
1.
Introduction
Г*Ч
2.
HgTe Quantum Wells and the Bernevig-Hughes-Zhang Model
Ы)
І.
Effective Model of the Three-Dimensional lopologieal Insulator h!i
4.
Helical Edge/Surface State of
ΊΟ/ ΛΟ
Topological
Insulators
70
5.
Physical Properties of Topological Edge/Surface States
7
λ
5.1.
Total Angular Momentum, Spin, and Orbital
Texture of Helical Edge/Surface States
7
Λ
5.2.
Topological Stability of Edge/Surface1 State 7S
5.3.
Topological Response or TR Breaking Mass Term
77
6.
Topological Insulator Materials
74
6.1.
B¡2Se}
Family and RelateeJ Materials 7<j
6.2.
HgTe and Related Materials ±
6.3.
Other Materials .
Acknowledgments
References
4.
Field-Theory Foundations of
Topological Insulators
Xiao-Liang Qi
1.
Introduction to Topological Field Theory
2.
TFT Description of
3D
Time-Reversal Invariant
ΤΙ
2.1.
Obtaining the Topological Term
írom
donerai
Considerations (>/
Contents
2.2.
Microscopie
Derivation of the
Topologica!
Order
Parameter
99
2.3.
Physical Consequences of the TFT
1 07
3.
TFT Description of More General Topological States
113
3.1.
Phase Space Chern-Simons Theories
1 1 3
3.2.
Further Investigation on Interacting Topological
States
1 1 7
Acknowledgement
120
References
120
Part 11
Experimental Discoveries
5.
Quantum Spin Hall State in HgTe
C.
Brune, H.
Buhmann
and
L.W. Molenkamp
1. HgTe Quantum Wells 125
2. The Quantum
Spin Hall Effect
128
3.
Non-Local
Transport in
the
Quantum Spin Hall State 131
4.
Spin Polarization of the
Quantum
Spin Hall Edge
States
135
5.
Conclusion
141
References
141
6.
Topological Surface States: A New Type of
2
D
Electron Systems
M. /.¿¡hid Hasan, Su-Yang Xu, David Hsieh, L. Andrew Wray
and Yuqi Xia
1.
Introduction
144
2.
The Birth of Momentum-Resolved Spectroscopy
as a Direct Experimental Probe of
Z2Topological-Order 145
3.
Separation of Insulating Bulk from Metallic Surface
States Using Incident Photon Energy Modulated
ARPES
147
4.
Winding Number Count: Counting of Surface Fermi
Surfaces Enclosing Kramers Points to Identify
Topologically Non-Trivial Surface Spin-Textured States
151
5.
Spin-Resolving the Surface States to Identify the
Non-Trivial Topological Phase and Establish a 2D
Helical Metal Protected from Backscattering
154
6.
Identifying the Origin of
3D
Topological Order Via a
Bulk Band Gap Inversion Transition
158
7.
Topological Protection and Tunability of the
Surface States of a
3D
Topological Insulator
165
8.
Future Directions: Topological Superconductors and
Topological Crystalline Insulators
168
Acknowledgments
172
References
172
{ ( Hilf
Dis
7.
Visualizing Topological Surface States and their
Novel Properties using Scanning Tunneling
Microscopy and Spectroscopy
Haim Be mdcnkopf, Pcdram Roushan and AH
Yn/dnni
1.
Introduction 7^
2.
Scanning Tunneling Microscopy and
Spectroscopii
Mapping I7f>
3.
Absence of Backscattering I77
4.
Fluctuation of the Dirac Point in Doped
Topological Insulators
5.
Enhanced Transmission Through Defects
6.
Conclusion and Outlook I**-1»
Acknowledgments IW
References 1*M>
8.
Transport Experiments on Three-Dimensional
Topological Insulators
Jeroen B. Oostinga and Alberto l·. Morpur^o
1.
Introduction
200
2.
Bulk Transport Through Bismuth-Based Compounds
20?
2.1.
Bh_xSbx
202
2.2.
Bi2Se.{ and
Ві2Те5 . О .
2.3
Controlling the Bulk Conductivity
;»()(,
3.
Identification of Surface Transport Using Bulk
Single Crystals
20·)
3.1.
Different Types of Charge Carriers
204
3.2.
Angle-Dependent Shubnikov-de I laas Resistance
Oscillations
2
I I
3.3.
Landau Level Indexing
2
I
,
4.
Electronic Transport Through Nanofabricated Devices
215
4.1.
Top-Down Approach: Mechanical Exfoliation of
Macroscopic Crystals
2
I d
4.2.
Epitaxial Films, Nanoribbons, and Nanowiros
2
I
7
4.3.
Ambipolar Transport in Gated Devices
2
I
8
4.4.
Gate-Tunable Shubnikov-de Haas Resistance
Oscillations
220
4.5.
Topological Surface States in Epitaxially
Grown HgTe Layers
2 2
5.
Miscellaneous Transport Properties
223
5.1.
Aharonov-Bohm Effect in
Bí2Scm
and
ВІ2ТЄ3
nanowires
>>,ţ
5.2.
Josephson
Junctions
>
j,ţ
5.3.
Doped Topological Insulators
227
6.
Conclusions and Outlook
22«
References
....„
Contents
Part 111
The Road Ahead
9.
New Materials
Ke He, Xucun Ma,
Xi
Chen and Qi-Kun Xue
1.
Three-Dimensional Topological Insulators
238
1.1.
Early Discovered Three-Dimensional
Topological Insulator Materials
238
1.2.
Molecular Beam Epitaxy Grown Thin Films of
Topological Insulators
240
1.3.
Defects in Epitaxial Films of
B¡2Se;
Family
Topological Insulators
243
1.4.
Chemical Potential Tuning
246
1.5.
New Systems of Topological Insulator Materials
248
2.
Two-Dimensional Topological Insulators
251
2.1.
InAs/GaSb/AlSb Quantum Wells
252
2.2.
Bi Thin Films
253
2.3.
Single Atomic Layer of Silicon and Germanium
253
2.4.
Thin Films of Three-Dimensional Topological Insulator
255
3.
Magnetic Topological Insulators
256
Acknowledgments
259
References
260
10.
Theoretical Design of Materials and Functions of
Topological Insulators and Superconductors
Naolo Nagaosa
1.
Introduction
263
2.
Magnetic and Magneto-Electric Phenomena
Related to Topological Insulators
266
3.
Correlated Topological Insulators
276
4.
Topological Superconductors and
Majorána
Fermions
281
5.
Discussion and Conclusions
288
Acknowledgments
289
References
289
11.
Beyond Band Insulators: Topology of Semimetals
and Interacting Phases
Ari
M.
¡urner
and Ashvin Vishwanath
1.
Part
1:
Topological Semimetals
294
1.1.
Topological Properties of Weyl Semimetals
296
1.2.
Topological Semimetals: Generalizations
303
1.3.
Candidate Materials
305
1.4.
Other Directions
306
(
nnlriìts
2.
Part
2;
Topology of Interacting Phases M)7
2.1.
One-Dimensional Topological Insulators
і
IO
2.2.
Topological SRE Phases in Higher Dimensions 7
2.3.
Edge States and TopoJog/cal Order
í J I
2.4.
Outlook MX
Acknowledgments ll
References
Λ22
Index
52/)
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| id | DE-604.BV041772239 |
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| indexdate | 2024-07-10T01:05:02Z |
| institution | BVB |
| isbn | 9780444633149 |
| language | English |
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| series | Contemporary concepts of condensed matter science |
| series2 | Contemporary concepts of condensed matter science |
| spelling | Topological insulators [vol. ed.:] Marcel Franz ; Laurens Molenkamp 1. ed. Amsterdam Elsevier 2013 XVI, 331 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Contemporary concepts of condensed matter science 6 Condensed matter Electric insulators and insulation Energy-band theory of solids Topologischer Isolator (DE-588)1035519526 gnd rswk-swf Topologischer Isolator (DE-588)1035519526 s DE-604 Franz, Marcel Sonstige (DE-588)1055024808 oth Molenkamp, Laurens W. 1956- Sonstige (DE-588)122440846 oth Contemporary concepts of condensed matter science 6 (DE-604)BV036589884 6 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027218208&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Topological insulators Contemporary concepts of condensed matter science Condensed matter Electric insulators and insulation Energy-band theory of solids Topologischer Isolator (DE-588)1035519526 gnd |
| subject_GND | (DE-588)1035519526 |
| title | Topological insulators |
| title_auth | Topological insulators |
| title_exact_search | Topological insulators |
| title_full | Topological insulators [vol. ed.:] Marcel Franz ; Laurens Molenkamp |
| title_fullStr | Topological insulators [vol. ed.:] Marcel Franz ; Laurens Molenkamp |
| title_full_unstemmed | Topological insulators [vol. ed.:] Marcel Franz ; Laurens Molenkamp |
| title_short | Topological insulators |
| title_sort | topological insulators |
| topic | Condensed matter Electric insulators and insulation Energy-band theory of solids Topologischer Isolator (DE-588)1035519526 gnd |
| topic_facet | Condensed matter Electric insulators and insulation Energy-band theory of solids Topologischer Isolator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027218208&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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