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The Resource Theoretical Study on Correlation Effects in Topological Matter

Theoretical Study on Correlation Effects in Topological Matter

Label
Theoretical Study on Correlation Effects in Topological Matter
Title
Theoretical Study on Correlation Effects in Topological Matter
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Subject
Language
eng
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Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer Theses Ser
Theoretical Study on Correlation Effects in Topological Matter
Label
Theoretical Study on Correlation Effects in Topological Matter
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4836579
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Supervisor's Foreword -- List of PublicationsParts of this thesis have been published in the following journal articles: Hiroki Isobe and Naoto Nagaosa, Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids, Physical Review B 86, 165127 (2012).Hiroki Isobe and Naoto Nagaosa, Renormalization group study of electromagnetic interaction in multi-Dirac-node systems, Physical Review B 87, 205138 (2013).Hiroki Isobe and Naoto Nagaosa, Renormalization Effects on -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 Scope of the Thesis -- 1.2 Outline of the Thesis -- 1.3 Quantum Hall States -- 1.4 Topological Insulators -- 1.5 Weyl and Dirac Semimetals -- 1.6 alpha-(BEDT-TTF)2I3 -- 1.7 Topological Mott Insulators -- 1.8 Topological Crystalline Insulators -- 1.9 Classification of Topological States of Matter -- 1.9.1 Noninteracting Case -- 1.9.2 Interacting Topological Phases -- References -- 2 Interacting Dirac Fermions in (3+1) Dimensions -- 2.1 Model -- 2.2 Renormalization Group Analysis -- 2.2.1 Perturbative Calculation -- 2.2.2 Renormalization -- 2.2.3 The Ward--Takahashi Identity -- 2.2.4 Power Counting -- 2.2.5 Derivation of Renormalization Group Equations -- 2.2.6 Numerical Solutions -- 2.2.7 Analytic Solutions -- 2.3 Density of States -- 2.4 Electromagnetic Properties -- 2.5 Spectral Function -- 2.5.1 The Callan--Symanzik Equation -- 2.5.2 Spectral Function -- 2.6 Electric Conductivity -- 2.6.1 The Quantum Boltzmann Equation -- 2.6.2 Scattering Rate -- 2.6.3 Solution -- 2.7 Energy Gap -- 2.8 Discussions and Summary -- References -- 3 Tilted Dirac Cones in Two Dimensions -- 3.1 Nonrelativistic Analysis -- 3.1.1 Model -- 3.1.2 Perturbative Renormalization Group Analysis -- 3.1.3 Spin Susceptibility -- 3.2 Relativistic Analysis -- 3.2.1 Model -- 3.2.2 RG Equations and Solutions
  • 3.2.3 Discussions -- 3.3 Summary -- References -- 4 Generalized Hund's Rule for Two-Atom Systems -- 4.1 Model -- 4.2 Results -- 4.2.1 One Electron -- 4.2.2 Two and Three Electrons -- 4.2.3 Four and Five Electrons -- 4.2.4 Six Electrons -- 4.3 Perturbative Calculation -- 4.4 Entanglement Entropy -- 4.5 Symmetry -- 4.6 Discussions and Summary -- References -- 5 Interacting Topological Crystalline Insulators -- 5.1 Classification in Two Dimensions -- 5.1.1 Gapped States for n=4: Rung-Singlet Phase -- 5.1.2 Renormalization Group Analysis for n=2 Edge Modes -- 5.2 Interacting TCIs in Three Dimensions -- 5.3 Discussions and Summary -- References -- 6 Conclusions and Prospects -- Appendix Curriculum Vitae
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{'f': 'http://opac.lib.rpi.edu/record=b4393470'}
Extent
1 online resource (143 pages)
Form of item
online
Isbn
9789811037436
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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