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Quantum Hall effects : recent theoretical and experimental developments

Author: Zyun Francis Ezawa
Publisher: New Jersey : World Scientific, [2013]
Edition/Format:   Print book : English : Third editionView all editions and formats
Summary:

The Quantum Hall Effect (QHE) is one of the most fascinating and beautiful phenomena in all branches of physics. This title describes the phenomena associated with the interlayer phase coherence in  Read more...

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Document Type: Book
All Authors / Contributors: Zyun Francis Ezawa
ISBN: 9789814360753 9814360759
OCLC Number: 724704215
Description: 891 pages ; 26 cm
Contents: Machine generated contents note: pt. I Quantum Field Theory --
1.Quantum Mechanics --1.1.Hilbert Spaces --
1.2.Canonical Formalism --
1.3.Creation and Annihilation Operators --
1.4.Uncertainty Principle --
1.5.Coherent States and von Neumann Lattice --
1.6.Squeezed Coherent State --
1.7.Particle Number and Phase --
1.8.Macroscopic Coherence --
2.Quantum Field Theory --
2.1.One-Body Hamiltonian --
2.2.Many-Body Hamiltonian --
2.3.Boson Field Operators --
2.4.Quantum Field Theory --
2.5.Fermion Field Operators --
2.6.Electrons Interacting with Electromagnetic Field --
3.Canonical Quantization --
3.1.Relativistic Particles and Waves --
3.2.Schrodinger Field --
3.3.Real Klein-Gordon Field --
3.4.Complex Klein-Gordon Field --
3.5.Nother Currents --
4.Spontaneous Symmetry Breaking --
4.1.Ferromagnets --
4.2.Real Klein-Gordon Field --
4.3.Complex Klein-Gordon Field --
4.4.Sigma Model --
4.5.Spin Field --
4.6.Schrodinger Field --
4.7.Superfluidity --
4.8.Goldstone Theorem --
Contents note continued: 5.Electromagnetic Field --
5.1.Maxwell Equations --
5.2.Canonical Quantization --
5.3.Interaction with Matter Field --
5.4.Anderson-Higgs Mechanism --
5.5.Massive Vector Field --
5.6.Superconductivity --
5.7.Aharonov-Bohm Effect --
6.Dirac Field --
6.1.Dirac Equation --
6.2.Plane Wave Solutions --
6.3.Canonical Quantization --
6.4.Interaction with Electromagnetic Field --
6.5.Weyl Field (Massless Dirac Field) --
6.6.Massless Dirac Electrons in Magnetic Field --
7.Topological Solitons --
7.1.Topological Sectors --
7.2.Classical Fields --
7.3.Solitary Waves, Kinks and Solitons --
7.4.Sine-Gordon Solitons --
7.5.Vortex Solitons --
7.6.Homotopy Classes --
7.7.O(3) Skyrmions --
7.8.SU(N) Skyrmions or CPN-1 Skyrmions --
7.9.Skyrmions in Ferromagnets --
8.Anyons --
8.1.Spin and Statistics --
8.2.Fractional Statistics --
8.3.Quantum Mechanics --
8.4.Chern-Simons Gauge Theory --
8.5.Anyon Field Operators --
pt. II Monolayer Quantum Hall Systems --
Contents note continued: 9.Overview of Monolayer QH Systems --
10.Landau Quantization --
10.1.Planar Electrons --
10.2.Cyclotron Motion --
10.3.Symmetric Gauge --
10.4.Landau Gauge --
10.5.von Neumann Lattice --
10.6.Electrons in Nth Landau Level --
10.7.Hall Current --
11.Quantum Hall Effects --
11.1.Incompressibility --
11.2.Integer Quantum Hall Effects --
11.3.Fractional Quantum Hall Effects --
11.4.Quasiparticles --
11.5.Hall Plateaux --
12.Quasiparticles and Activation Energy --
12.1.Impurity Potentials --
12.2.Gap Energies --
12.3.Dispersion Relation --
12.4.Thermal Activation --
13.Field Theory of Composite Particles --
13.1.Composite Particles --
13.2.Statistical Transmutation --
13.3.Effective Magnetic Field --
13.4.Dressed Composite Particles --
13.5.Composite Particles in Lowest Landau Level --
13.6.Composite Fermions in Lowest Landau Level --
14.Composite Bosons and Semiclassical Analysis --
14.1.Ground State and Laughlin Wave Function --
Contents note continued: 14.2.Perturbative Excitations --
14.3.Vortex Excitations --
14.4.Field Theory of Vortex Solitons --
14.5.Haldane-Halperin Hierarchy --
15.Quantum Hall Ferromagnets --
15.1.Spin Coherence --
15.2.Spin Degree of Freedom --
15.3.Composite Bosons and Spin-Charge Separation --
15.4.Spin Field, Sigma Field and CP1 Field --
15.5.Effective Hamiltonian --
16.Spin Textures --
16.1.Spin Excitations --
16.2.Factorizable Skyrmions --
16.3.Skyrmion Excitation Energy --
16.4.Experimental Evidence --
17.Hierarchy of Fractional QH States --
17.1.Jain Hierarchy --
17.2.Landau Levels of Composite Fermions --
17.3.Beyond Principal Sequences --
17.4.Spin Polarization --
17.5.Gap Energies --
18.Edge Effects --
18.1.Edge and Bulk --
18.2.Shot Noises of Fractional Charges --
18.3.Chiral Edge Excitations --
18.4.Chiral Tomonaga-Luttinger Liquid --
18.5.Electrodynamics on Edge --
18.6.Edge Tunneling and Sine-Gordon Solitons --
Contents note continued: 19.Stripes and Bubbles in Higher Landau Levels / Naokazu Shibata --
19.1.Higher Landau Levels --
19.2.Haldane's Pseudopotentials --
19.3.Effective Coulomb Interactions --
19.4.Density Matrix Renormalization Group Method --
19.5.Stripes, Bubbles and Wigner Crystal --
20.Quantum Hall Effects in Graphene / Motohiko Ezawa --
20.1.Unconventional QH Effects --
20.2.Graphene and Massless Dirac Electrons --
20.3.Dirac Hamiltonian and Supersymmetry --
20.4.Effective Coulomb Interactions --
20.5.Excitonic Condensation --
20.6.Multilayer Graphene Systems --
20.7.Berry Phase and Index Theorem --
21.Quantum Hall Effects in Silicene / Motohiko Ezawa --
21.1.Introduction --
21.2.Silicene and Massive Dirac Electrons --
21.3.Low-Energy Dirac Theory --
21.4.Energy Spectrum --
22.Topological Insulators and QH Effects without Landau Levels / Motohiko Ezawa --
22.1.Quantum Spin Hall and Anomalous Hall Effects --
22.2.Hall Conductivities and Chern Numbers --
Contents note continued: 22.3.Photo-Induced QAH Effect --
22.4.Exchange-Induced QAH Effect --
pt. III Bilayer Quantum Hall Systems --
23.Overview of Bilayer QH Systems --
24.SU(2) Pseudospin Structure --
24.1.Bilayer Planar Electrons --
24.2.Pseudospins --
24.3.Tunneling Interaction --
24.4.Capacitance Energy --
24.5.Imbalanced Configuration --
24.6.Compound States --
24.7.Charge-Transferable States --
25.Bilayer-Locked States --
25.1.Composite-Boson Field --
25.2.Wave Functions --
25.3.Ground State --
25.4.Vortex Excitations --
26.Interlayer Coherence and Josephson Effects --
26.1.Interlayer Phase Coherence --
26.2.Composite Bosons and CP1 Field --
26.3.Effective Hamiltonian --
26.4.Pseudospin Waves --
26.5.Josephson-like Effect --
26.6.Plasmon Excitations --
26.7.Anomalous Bilayer Hall Currents --
27.Commensurate and Incommensurate Phases --
27.1.Bilayer QH Junction --
27.2.Parallel Magnetic Field --
27.3.Effective Hamiltonian --
Contents note continued: 27.4.Commensurate-Incommensurate Phase Transition --
27.5.Soliton Lattice --
27.6.Anomalous Diagonal Resistivity --
27.7.Josephson-like Phenomena in Parallel Field --
28.SU(4) Quantum Hall Ferromagnets --
28.1.SU(4) Isospin Structure --
28.2.SU(4) Isospin Fields --
28.3.SU(4) Isospin Waves --
28.4.SU(4) Skyrmions --
28.5.Activation Energy Anomaly --
29.Bilayer Quantum Hall Systems at v = 2 --
29.1.Spin Phase, Ppin Phase and CAF Phase --
29.2.Ground-State Energy --
29.3.Ground-State Structure --
29.4.Phase Diagrams --
29.5.Experimental Data --
29.6.SU(4) Breaking and Goldstone Modes --
29.7.Grassmannian Fields and Goldstone modes --
29.8.Grassmannian G4,2 Solitons --
29.9.Genuine Bilayer versus Two-Monolayer Systems --
29.10.Experimental Indication of Biskyrmions --
pt. IV Microscopic Theory --
30.Overview of Microscopic Theory --
31.Noncommutative Geometry --
31.1.Noncommutative Coordinate --
31.2.Weyl Operator and Symbol --
31.3.Magnetic Translation --
Contents note continued: 31.4.Density Operators --
31.5.SU(N)-Extended W [infinity] Algebra --
31.6.Classical Fields --
31.7.Topological Charge Density --
31.8.Kac-Moody Algebra on Edges --
32.Landau Level Projection --
32.1.Projected Coulomb Interactions --
32.2.Monolayer QH System --
32.3.Electron-Hole Pair Excitations --
32.4.Electron Excitation and Hole Excitation --
32.5.Bilayer System without Spin (v = 1 --
32.6.Bilayer System with Spin (v = 1 --
32.7.Bilayer System with Spins (v = 2 --
33.Noncommutative Solitons --
33.1.Topological Charge and Electric Charge --
33.2.Microscopic Skyrmion States --
33.3.Noncommutative CP1 Skyrmion --
33.4.Hole and Skyrmion --
33.5.Skyrmion Wave Functions --
33.6.Hardcore Interaction --
33.7.Coulomb Interaction --
33.8.Bilayer System in Parallel Magnetic Field --
34.Exchange Interactions and Effective Theory --
34.1.Exchange Hamiltonian --
34.2.Decomposition Formula --
34.3.Spontaneous Symmetry Breaking --
34.4.Classical Equations of Motion --
Contents note continued: 34.5.Four-Layer Condenser Model --
34.6.Derivative Expansion and Effective Theory --
34.7.Noncommutative CPN-1 Model --
34.8.Equations of Motion and Hall Currents --
34.9.Electric Currents in Pseudospin QH Ferromagnet --
pt. V Recent Experimental Developments --
35.Overview of New Experimental Developments --
36.Real-Space Observation of Quantum Hall States / Katsushi Hashimoto --
36.1.Scanning tunneling spectroscopy on planar electron systems --
36.2.Landau level spectroscopy --
36.3.Quantum cyclotron orbits --
36.4.Landau level mapping --
36.5.Real-space evolution from localized to extended states --
37.Collective Excitations in Integer and Fractional QH Systems / V.A. Volkov --
37.1.Introduction --
37.2.Experimental Method --
37.3.Rotons in Quasiclassical Magnetoplasmons --
37.4.Composite Fermions and Rotons in Fractional-Gap Excitations --
37.5.Summary --
38.Hyperfine Interactions in Quantum Hall Regime / Yoshiro Hirayama --
Contents note continued: 38.1.Contact hyperfine interaction --
38.2.Dynamic nuclear polarization and its detection --
38.3.Spin characteristics of two-dimensional electron systems studied by highly-sensitive RD-NMR --
38.4.Novel nuclear resonance mediated by oscillating domains --
38.5.Summary --
39.Microwave-induced Nonequilibrium Phenomena / Michael Zudov --
39.1.Microwave-induced Resistance Oscillations --
39.2.Zero-resistance States --
39.3.Summary --
40.Superfluid Properties of Electron Bilayers / Lars Tiemann --
40.1.Introduction --
40.2.Samples --
40.3.Drag and Counterflow Experiments --
40.4.The Corbino Geometry --
40.5.Tunneling Spectroscopy --
40.6.Imbalances in the Electron Density --
40.7.DC Interlayer Tunneling and Critical Currents --
40.8.Signatures of Quantum Hall Ferromagnetism --
40.9.Dominant Parameters in Tunneling --
40.10.Implications for magneto-transport experiments --
40.11.Summary --
41.Quantum Hall Effect in ZnO / Masashi Kawasaki --
Contents note continued: 41.1.Progress of Oxide Epitaxy --
41.2.Two Dimensional Electron Systems in Oxides --
41.3.Brief History of ZnO 2DEG --
41.4.Advances in Epitaxy of ZnO --
41.5.Transport Properties of 2DEG --
41.6.Strongly Correlated Two-Dimensional Transport --
41.7.Conclusion and Prospect --
Appendices --
A.Energy Scales --
B.Hausdorff Formulas --
C.Group SU(2) and Pauli Matrices --
D.Groups SU(N) and SU(2N --
E.Cauchy-Riemann Equations --
F.Green Function --
G.Bogoliubov Transformation --
H.Energy-Momentum Tensor --
I.Exchange Interaction --
J.Mermin-Wagner Theorem --
K.Lorentz Transformation --
L.One-Dimensional Soliton Solutions --
M.Field-Theoretical Vortex Operators --
N.Bosonization in One-Dimensional Space --
O.Coulomb Energy Formulas --
P.W [infinity] Algebra.
Responsibility: Zyun F. Ezawa, Tohoku University, Japan & RIKEN, Japan.

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<http://www.worldcat.org/oclc/724704215> # Quantum Hall effects : recent theoretical and experimental developments
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   schema:about <http://id.worldcat.org/fast/1085080> ; # Quantum Hall effect
   schema:about <http://dewey.info/class/537.6226/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/3861212255#Topic/kvantfaltteori> ; # Kvantfältteori
   schema:about <http://id.worldcat.org/fast/1085105> ; # Quantum field theory
   schema:bookEdition "Third edition." ;
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   schema:creator <http://experiment.worldcat.org/entity/work/data/3861212255#Person/ezawa_zyun_francis> ; # Zyun Francis Ezawa
   schema:datePublished "2013" ;
   schema:description "Contents note continued: 27.4.Commensurate-Incommensurate Phase Transition -- 27.5.Soliton Lattice -- 27.6.Anomalous Diagonal Resistivity -- 27.7.Josephson-like Phenomena in Parallel Field -- 28.SU(4) Quantum Hall Ferromagnets -- 28.1.SU(4) Isospin Structure -- 28.2.SU(4) Isospin Fields -- 28.3.SU(4) Isospin Waves -- 28.4.SU(4) Skyrmions -- 28.5.Activation Energy Anomaly -- 29.Bilayer Quantum Hall Systems at v = 2 -- 29.1.Spin Phase, Ppin Phase and CAF Phase -- 29.2.Ground-State Energy -- 29.3.Ground-State Structure -- 29.4.Phase Diagrams -- 29.5.Experimental Data -- 29.6.SU(4) Breaking and Goldstone Modes -- 29.7.Grassmannian Fields and Goldstone modes -- 29.8.Grassmannian G4,2 Solitons -- 29.9.Genuine Bilayer versus Two-Monolayer Systems -- 29.10.Experimental Indication of Biskyrmions -- pt. IV Microscopic Theory -- 30.Overview of Microscopic Theory -- 31.Noncommutative Geometry -- 31.1.Noncommutative Coordinate -- 31.2.Weyl Operator and Symbol -- 31.3.Magnetic Translation --"@en ;
   schema:description "Contents note continued: 19.Stripes and Bubbles in Higher Landau Levels / Naokazu Shibata -- 19.1.Higher Landau Levels -- 19.2.Haldane's Pseudopotentials -- 19.3.Effective Coulomb Interactions -- 19.4.Density Matrix Renormalization Group Method -- 19.5.Stripes, Bubbles and Wigner Crystal -- 20.Quantum Hall Effects in Graphene / Motohiko Ezawa -- 20.1.Unconventional QH Effects -- 20.2.Graphene and Massless Dirac Electrons -- 20.3.Dirac Hamiltonian and Supersymmetry -- 20.4.Effective Coulomb Interactions -- 20.5.Excitonic Condensation -- 20.6.Multilayer Graphene Systems -- 20.7.Berry Phase and Index Theorem -- 21.Quantum Hall Effects in Silicene / Motohiko Ezawa -- 21.1.Introduction -- 21.2.Silicene and Massive Dirac Electrons -- 21.3.Low-Energy Dirac Theory -- 21.4.Energy Spectrum -- 22.Topological Insulators and QH Effects without Landau Levels / Motohiko Ezawa -- 22.1.Quantum Spin Hall and Anomalous Hall Effects -- 22.2.Hall Conductivities and Chern Numbers --"@en ;
   schema:description "Contents note continued: 9.Overview of Monolayer QH Systems -- 10.Landau Quantization -- 10.1.Planar Electrons -- 10.2.Cyclotron Motion -- 10.3.Symmetric Gauge -- 10.4.Landau Gauge -- 10.5.von Neumann Lattice -- 10.6.Electrons in Nth Landau Level -- 10.7.Hall Current -- 11.Quantum Hall Effects -- 11.1.Incompressibility -- 11.2.Integer Quantum Hall Effects -- 11.3.Fractional Quantum Hall Effects -- 11.4.Quasiparticles -- 11.5.Hall Plateaux -- 12.Quasiparticles and Activation Energy -- 12.1.Impurity Potentials -- 12.2.Gap Energies -- 12.3.Dispersion Relation -- 12.4.Thermal Activation -- 13.Field Theory of Composite Particles -- 13.1.Composite Particles -- 13.2.Statistical Transmutation -- 13.3.Effective Magnetic Field -- 13.4.Dressed Composite Particles -- 13.5.Composite Particles in Lowest Landau Level -- 13.6.Composite Fermions in Lowest Landau Level -- 14.Composite Bosons and Semiclassical Analysis -- 14.1.Ground State and Laughlin Wave Function --"@en ;
   schema:description "Contents note continued: 34.5.Four-Layer Condenser Model -- 34.6.Derivative Expansion and Effective Theory -- 34.7.Noncommutative CPN-1 Model -- 34.8.Equations of Motion and Hall Currents -- 34.9.Electric Currents in Pseudospin QH Ferromagnet -- pt. V Recent Experimental Developments -- 35.Overview of New Experimental Developments -- 36.Real-Space Observation of Quantum Hall States / Katsushi Hashimoto -- 36.1.Scanning tunneling spectroscopy on planar electron systems -- 36.2.Landau level spectroscopy -- 36.3.Quantum cyclotron orbits -- 36.4.Landau level mapping -- 36.5.Real-space evolution from localized to extended states -- 37.Collective Excitations in Integer and Fractional QH Systems / V.A. Volkov -- 37.1.Introduction -- 37.2.Experimental Method -- 37.3.Rotons in Quasiclassical Magnetoplasmons -- 37.4.Composite Fermions and Rotons in Fractional-Gap Excitations -- 37.5.Summary -- 38.Hyperfine Interactions in Quantum Hall Regime / Yoshiro Hirayama --"@en ;
   schema:description "Contents note continued: 22.3.Photo-Induced QAH Effect -- 22.4.Exchange-Induced QAH Effect -- pt. III Bilayer Quantum Hall Systems -- 23.Overview of Bilayer QH Systems -- 24.SU(2) Pseudospin Structure -- 24.1.Bilayer Planar Electrons -- 24.2.Pseudospins -- 24.3.Tunneling Interaction -- 24.4.Capacitance Energy -- 24.5.Imbalanced Configuration -- 24.6.Compound States -- 24.7.Charge-Transferable States -- 25.Bilayer-Locked States -- 25.1.Composite-Boson Field -- 25.2.Wave Functions -- 25.3.Ground State -- 25.4.Vortex Excitations -- 26.Interlayer Coherence and Josephson Effects -- 26.1.Interlayer Phase Coherence -- 26.2.Composite Bosons and CP1 Field -- 26.3.Effective Hamiltonian -- 26.4.Pseudospin Waves -- 26.5.Josephson-like Effect -- 26.6.Plasmon Excitations -- 26.7.Anomalous Bilayer Hall Currents -- 27.Commensurate and Incommensurate Phases -- 27.1.Bilayer QH Junction -- 27.2.Parallel Magnetic Field -- 27.3.Effective Hamiltonian --"@en ;
   schema:description "Contents note continued: 31.4.Density Operators -- 31.5.SU(N)-Extended W [infinity] Algebra -- 31.6.Classical Fields -- 31.7.Topological Charge Density -- 31.8.Kac-Moody Algebra on Edges -- 32.Landau Level Projection -- 32.1.Projected Coulomb Interactions -- 32.2.Monolayer QH System -- 32.3.Electron-Hole Pair Excitations -- 32.4.Electron Excitation and Hole Excitation -- 32.5.Bilayer System without Spin (v = 1 -- 32.6.Bilayer System with Spin (v = 1 -- 32.7.Bilayer System with Spins (v = 2 -- 33.Noncommutative Solitons -- 33.1.Topological Charge and Electric Charge -- 33.2.Microscopic Skyrmion States -- 33.3.Noncommutative CP1 Skyrmion -- 33.4.Hole and Skyrmion -- 33.5.Skyrmion Wave Functions -- 33.6.Hardcore Interaction -- 33.7.Coulomb Interaction -- 33.8.Bilayer System in Parallel Magnetic Field -- 34.Exchange Interactions and Effective Theory -- 34.1.Exchange Hamiltonian -- 34.2.Decomposition Formula -- 34.3.Spontaneous Symmetry Breaking -- 34.4.Classical Equations of Motion --"@en ;
   schema:description "Machine generated contents note: pt. I Quantum Field Theory -- 1.Quantum Mechanics --1.1.Hilbert Spaces -- 1.2.Canonical Formalism -- 1.3.Creation and Annihilation Operators -- 1.4.Uncertainty Principle -- 1.5.Coherent States and von Neumann Lattice -- 1.6.Squeezed Coherent State -- 1.7.Particle Number and Phase -- 1.8.Macroscopic Coherence -- 2.Quantum Field Theory -- 2.1.One-Body Hamiltonian -- 2.2.Many-Body Hamiltonian -- 2.3.Boson Field Operators -- 2.4.Quantum Field Theory -- 2.5.Fermion Field Operators -- 2.6.Electrons Interacting with Electromagnetic Field -- 3.Canonical Quantization -- 3.1.Relativistic Particles and Waves -- 3.2.Schrodinger Field -- 3.3.Real Klein-Gordon Field -- 3.4.Complex Klein-Gordon Field -- 3.5.Nother Currents -- 4.Spontaneous Symmetry Breaking -- 4.1.Ferromagnets -- 4.2.Real Klein-Gordon Field -- 4.3.Complex Klein-Gordon Field -- 4.4.Sigma Model -- 4.5.Spin Field -- 4.6.Schrodinger Field -- 4.7.Superfluidity -- 4.8.Goldstone Theorem --"@en ;
   schema:description "Contents note continued: 5.Electromagnetic Field -- 5.1.Maxwell Equations -- 5.2.Canonical Quantization -- 5.3.Interaction with Matter Field -- 5.4.Anderson-Higgs Mechanism -- 5.5.Massive Vector Field -- 5.6.Superconductivity -- 5.7.Aharonov-Bohm Effect -- 6.Dirac Field -- 6.1.Dirac Equation -- 6.2.Plane Wave Solutions -- 6.3.Canonical Quantization -- 6.4.Interaction with Electromagnetic Field -- 6.5.Weyl Field (Massless Dirac Field) -- 6.6.Massless Dirac Electrons in Magnetic Field -- 7.Topological Solitons -- 7.1.Topological Sectors -- 7.2.Classical Fields -- 7.3.Solitary Waves, Kinks and Solitons -- 7.4.Sine-Gordon Solitons -- 7.5.Vortex Solitons -- 7.6.Homotopy Classes -- 7.7.O(3) Skyrmions -- 7.8.SU(N) Skyrmions or CPN-1 Skyrmions -- 7.9.Skyrmions in Ferromagnets -- 8.Anyons -- 8.1.Spin and Statistics -- 8.2.Fractional Statistics -- 8.3.Quantum Mechanics -- 8.4.Chern-Simons Gauge Theory -- 8.5.Anyon Field Operators -- pt. II Monolayer Quantum Hall Systems --"@en ;
   schema:description "Contents note continued: 38.1.Contact hyperfine interaction -- 38.2.Dynamic nuclear polarization and its detection -- 38.3.Spin characteristics of two-dimensional electron systems studied by highly-sensitive RD-NMR -- 38.4.Novel nuclear resonance mediated by oscillating domains -- 38.5.Summary -- 39.Microwave-induced Nonequilibrium Phenomena / Michael Zudov -- 39.1.Microwave-induced Resistance Oscillations -- 39.2.Zero-resistance States -- 39.3.Summary -- 40.Superfluid Properties of Electron Bilayers / Lars Tiemann -- 40.1.Introduction -- 40.2.Samples -- 40.3.Drag and Counterflow Experiments -- 40.4.The Corbino Geometry -- 40.5.Tunneling Spectroscopy -- 40.6.Imbalances in the Electron Density -- 40.7.DC Interlayer Tunneling and Critical Currents -- 40.8.Signatures of Quantum Hall Ferromagnetism -- 40.9.Dominant Parameters in Tunneling -- 40.10.Implications for magneto-transport experiments -- 40.11.Summary -- 41.Quantum Hall Effect in ZnO / Masashi Kawasaki --"@en ;
   schema:description "Contents note continued: 14.2.Perturbative Excitations -- 14.3.Vortex Excitations -- 14.4.Field Theory of Vortex Solitons -- 14.5.Haldane-Halperin Hierarchy -- 15.Quantum Hall Ferromagnets -- 15.1.Spin Coherence -- 15.2.Spin Degree of Freedom -- 15.3.Composite Bosons and Spin-Charge Separation -- 15.4.Spin Field, Sigma Field and CP1 Field -- 15.5.Effective Hamiltonian -- 16.Spin Textures -- 16.1.Spin Excitations -- 16.2.Factorizable Skyrmions -- 16.3.Skyrmion Excitation Energy -- 16.4.Experimental Evidence -- 17.Hierarchy of Fractional QH States -- 17.1.Jain Hierarchy -- 17.2.Landau Levels of Composite Fermions -- 17.3.Beyond Principal Sequences -- 17.4.Spin Polarization -- 17.5.Gap Energies -- 18.Edge Effects -- 18.1.Edge and Bulk -- 18.2.Shot Noises of Fractional Charges -- 18.3.Chiral Edge Excitations -- 18.4.Chiral Tomonaga-Luttinger Liquid -- 18.5.Electrodynamics on Edge -- 18.6.Edge Tunneling and Sine-Gordon Solitons --"@en ;
   schema:description "Contents note continued: 41.1.Progress of Oxide Epitaxy -- 41.2.Two Dimensional Electron Systems in Oxides -- 41.3.Brief History of ZnO 2DEG -- 41.4.Advances in Epitaxy of ZnO -- 41.5.Transport Properties of 2DEG -- 41.6.Strongly Correlated Two-Dimensional Transport -- 41.7.Conclusion and Prospect -- Appendices -- A.Energy Scales -- B.Hausdorff Formulas -- C.Group SU(2) and Pauli Matrices -- D.Groups SU(N) and SU(2N -- E.Cauchy-Riemann Equations -- F.Green Function -- G.Bogoliubov Transformation -- H.Energy-Momentum Tensor -- I.Exchange Interaction -- J.Mermin-Wagner Theorem -- K.Lorentz Transformation -- L.One-Dimensional Soliton Solutions -- M.Field-Theoretical Vortex Operators -- N.Bosonization in One-Dimensional Space -- O.Coulomb Energy Formulas -- P.W [infinity] Algebra."@en ;
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