(Ebook PDF) Condensed matter theories Volume 24 1st edition by Feodor Kusmartsev ISBN 9789814289153 9814289159 full chapters

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ISBN 10:9814289159

ISBN 13:9789814289153

Author: Feodor Kusmartsev

Table of Contents:

• Part A Statistical Mechanics, Magnetism, Quantum and Nonlinear Dynamics
• The Groundstates and Phases of the Two-Dimensional Fully Frustrated XY Model P. Minnhagen, S. Bernha
• 1. Introduction
• 2. Generalized 2D XY Model
• 3. Groundstate
• 4. Broken Symmetries
• 5. Phase Transitions and Phase Diagram
• 6. Central Charge
• 7. Implications for Standard 2D FFXY Model
• Acknowledgments
• References
• 2D Ising Model with Competing Interactions and its Application to Clusters and Arrays of -Rings, Gr
• 1. Introduction
• 2. The Model (Square Lattice)
• 3. Phase Diagram
• 4. Low-Temperature Glassy State
• 5. Adiabatic Quantum Computing
• 6. Honeycomb Lattice: Application to Graphene
• 7. Conclusion
• Acknowledgments
• References
• Concerning the Equation of State for a Partially Ionized System G. A. Baker Jr.
• Conclusion
• References
• Quasiclassical Fourier Path Integral Quantum Correction Terms to the Kinetic Energy of Interacting Q
• 1. Introduction
• 2. Fourier Path Integral Representation of the Canonical Density Matrix Elements in Coordinate Space
• 3. The Classical Limit
• 4. Classical Kinetic Energy Including Quantum Corrections
• 5. Formulas for Central Two-Body Forces
• 6. Numerical Results and Discussion
• References
• Ergodicity and Chaos in a System of Harmonic Oscillators M. H. Lee
• 1. Introduction
• 2. Dynamics of Two Independent Classical HO in 1 Dimension
• 2.1. Rational frequencies
• 2.2. Irrational frequencies
• 2.3. Hamilton-Jacobi theory
• 3. Chaos versus Ergodicity
• 4. Chain of Coupled Oscillators
• 5. Classification of Ergodicity
• 6. Ergodicity in Chaos
• 7. Concluding Remarks
• Acknowledgments
• References
• Chaotic Modes in Scale Free Opinion Networks F. V. Kusmartsev and K. E. K urten
• 1. Introduction
• 2. Model
• 3. Galam’s Local Majority and Minority Rule
• 4. Local Opportunists and Global Contrarians of Fixed Group Size K on the Network with the In-Degree
• 5. Scale Free Network with Odd Group Sizes up to K = 7
• 6. The Phenomen of Social Chaos Arising During the Obama Election Campaign
• 7. Summary
• Acknowledgments
• References
• Astroid Curves for a Synthetic Antiferromagnetic Stack in an Applied Magnetic Field D. M. Forrester,
• 1. Introduction
• 2. Single Particle
• 3. Two Magnetic Particles
• 4. Summary
• Acknowledgment
• References
• Entanglement Properties of Quantum Many-Body Wave Functions J. W. Clark, A. Mandilara, M. L. Ristig
• 1. Introduction
• 2. Entanglement and Quantum Phase Transitions
• 2.1. Single-site entanglement
• 2.2. Two-site entanglement
• 3. Variational Theory of the Transverse Ising Model
• 4. Entanglement in Jastrow-Hartree Ground States
• 4.1. Single-site entropy
• 4.2. Two-site entanglement
• 4.3. Localizable entanglement
• 4.4. Tanglemeter and nilpotent polynomials
• 5. Entanglement in Other Many-Body Wave Functions
• Acknowledgments
• References
• Part B Fermi and Bose Fluids
• Topological Phase Transitions in Strongly Correlated Fermi Systems J. W. Clark, V. A. Khodel and M.
• 1. Introduction
• 2. Collective Versus Topological Scenarios for the QCP
• 3. Reprise of the Original Quasiparticle Pattern
• 4. Salient Features of the Topological Scenario
• 5. Search for Quasiparticle Solutions Beyond the QCP
• 5.1. Regular interaction
• 5.2. Singular interaction
• 6. Characterizing the Exceptional State
• 7. Solutions of the Landau Quasiparticle Equations at T > 0
• 8. Conclusion
• Acknowledgments
• References
• Deconfinement and Quantum Liquid Crystalline States of Dipolar Fermions in Optical Lattices S. T. Ca
• 1. Introduction
• 2. Model
• 3. Experimental Realisation
• 4. Meta-Nematic Phase Transition
• 5. Crystallisation
• 6. Smectic Phase
• 7. Bosonization Approach
• 8. Conclusion
• Acknowledgments
• References
• On the “Generalized Slater” Approximation J. Messud, P. M. Dinh, E. Suraud and P.-G. Reinhard
• 1. Introduction
• 2. Exact SIC
• 3. SIC-OEP
• 4. Examples of Application
• 5. Conclusion
• Acknowledgments
• References
• Fluid Helium-4 in Thermal Equilibrium K. A. Gernoth and M. L. Ristig
• 1. Introduction
• 2. Quantum Properties
• 3. Quantum Statistics
• 4. Dynamic Quantum Correlations
• 5. Kinetic Energy Components
• 6. Outlook
• References
• Microscopic Approach in the Description of Slowing of Electromagnetic Pulses in BEC of Alkalis Y. Sl
• 1. Introduction
• 2. Hamiltonian of Hydrogen-Like Atomic Gas in the External Electromagnetic Field
• 3. Response of the Gas to the Perturbation by the External Field. Green Functions
• 4. Dispersion Characteristics of the Atomic Gas in BEC State. Ultra-Slow Light
• 5. Conclusion
• Acknowledgments
• References
• Anomalous Behavior of Ideal Fermi Gas Below 2D: The “Ideal Quantum Dot” and the Paul Exclusion Princ
• 1. Introduction
• 2. Ideal Fermi Gases in Any d > 0
• 3. Null-Dimensional (d = 0) IFG
• 4. Conclusion
• Acknowledgments
• References
• Part C Transport Theory
• On the Quantum Hall Effect in Graphene S. Fujita, J.-H. Kim, K. Ito and M. de Llano
• 1. Introduction
• 2. Theory
• 3. Discussion
• Acknowledgments
• Appendix A. Derivation of Equation (2)
• References
• Modelling Charge Transport in DNA Using Transfer Matrices with Diagonal Terms S. A. Wells, C.-T. Shi
• 1. Introduction
• 2. Diagonal-Ladder Model of DNA
• 3. Comparison with Previous Results
• 4. Results for SBS Mutations in Retinoblastoma
• 5. Conclusion
• Acknowledgments
• References
• Similarities Between Embolic Stroke and Percolation Problems J. P. Hague
• 1. Introduction
• 2. Models of Percolation
• 3. Embolic Stroke Model
• 4. Percolation Threshold and Embolic Stroke
• 5. Summary
• Acknowledgments
• References
• Extraordinary Magnetoresistance in Hybrid Semiconductor-Metal Systems T. H. Hewett and F. V. Kusmart
• 1. Introduction
• 2. Simulation Approach
• 3. Results
• 4. Further Discussion
• 5. Conclusion
• References
• Topological Aspects of the Specific Heat C. M. Sarris and A. N. Proto
• 1. Introduction
• 2. MEP Basic Tools
• 3. Metric and Specific Heat Relationship
• 4. Invariants for the SU(2) Lie Algebra
• 5. Examples
• 5.1. Larmor’s precession
• 5.2. A time-dependent example
• 6. Discussion
• Acknowledgment
• Appendix
• References
• Effects of Electron-Electron Interactions in Two Dimensions S. V. Kravchenko
• 1. Introduction
• 2. Experimental Setup and Samples
• 3. Results and Discussion
• 3.1. Spin susceptibility in (100) silicon
• 3.2. The effective mass in (100) silicon
• 3.3. The effective mass in (111) silicon
• 4. Summary
• Acknowledgment
• References
• Doping Induced Electronic Phase Separation and Coulomb Bubbles in Layered Superconductors M. Saarela
• 1. Introduction
• 2. Variational Theory of Two-Band Model for HTSC Compounds
• 3. Comparison with Experimental ARPES and Hall Effect Data
• 4. Coulomb Polaron Clumps Embedded in HTSC
• 5. Conclusion
• Acknowledgments
• References
• High-Frequency Response and Voltage Noise in Magnetic Nanocomposites N. A. Buznikov, I. T. Iakubov,
• 1. Introduction
• 2. Dynamics of a Single-Domain Magnetic Particle
• 3. 1/f Noise in the Phase-Separated Manganites
• 4. High-Frequency Permeability of Nanocomposites
• 5. Conclusion
• Acknowledgments
• Bibliography
• Acoustic Band Gap Formation in Two-Dimensional Locally Resonant Sonic Crystals Comprised of Helmholt
• 1. Introduction
• 2. Finite Element Simulation
• 3. Experimental Procedure
• 4. Discussion of Results
• 5. Conclusion
• References
• Part D Superconductivity
• Disordered Superconductors: A Simple Model Manifesting Pseudogap AND BCS-BEC Crossover
• 1. Introduction
• 2. Model and Formalism
• 3. Results
• 3.1. Unconventional features
• 3.2. BCS-BEC crossover
• 3.3. Beyond mean field theory: phase fluctuations
• 3.3.1. Phase fluctuations within self-consistent harmonic approximation (SCHA)
• 3.3.2. Pseudogap
• 3.3.3. Pure case: A comparison
• 4. Conclusion
• Acknowledgment
• References
• Superconducting Nanowires: Quantum-Confinement Effect on the Critical Magnetic Field and Supercurren
• 1. Introduction
• 2. Model and Its Solution
• 3. Results and Discussion
• 3.1. Parallel critical magnetic field in nanowires
• 3.2. Current-carrying state in nanowires
• 4. Conclusion
• Acknowledgments
• References
• Critical Temperature of High-Tc Superconductors and Boundary Conditions in Ginzburg-Landau Theory A.
• 1. Introduction
• 2. Macroscopic Properties of Thin Film Made of High-Tc Superconductors
• 3. Analysis of Some Experimental Results Obtained on High-Tc Superconductors
• 4. Conclusion
• Acknowledgments
• References
• An Informative Method for the Diagnostics of Superconductors K. Rostami
• 1. Introduction
• 2. Demagnetizing Fields and the Thermodynamic Field
• 3. Experimental Method
• 3.1. Experimental results
• 3.2. Discussion of the results
• References
• Novel Magnetic Properties in Multi-Walled Carbon Nanotube Mats: Consistent with the Paramagnetic Mei
• 1. Introduction
• 2. Experiment
• 3. Result
• 4. Discussion
• 5. Conclusion
• Acknowledgments
• References
• Superconductivity, Spin and Charge Density Structures in One and Two-Dimensional Self-Consistent Mod
• 1. Introduction
• 2. 1D Hubbard Model
• 2.1. Superconductivity in 1d model
• 3. 2D Model
• 3.1. Stripes
• 3.2. Checkerboard structure
• 3.3. Vortex
• 3.4. Coexistence of spin-charge structure and superconductivity
• References
• Part E Josephson Junctions and SQUIDs
• Non-Linear Dynamics, Entanglement and the Quantum-Classical Crossover of Two Coupled SQUID Rings M.
• 1. Introduction
• 2. Review of the Entanglement Properties of Two Coupled Duffing Oscillator
• 3. RSJ Model and Scaling the Dynamics
• 4. Quantum Mechanical Description of the SQUID Ring
• 5. Results and Comparison with the Duffing Oscillator
• 6. Conclusion
• Acknowledgments
• References
• Numerical Study of -Junction Using Spin Filtering Barriers S. Kawabata and Y. Asano
• 1. Introduction
• 2. Energy Band Structure of Ferromagnetic Insulators
• 3. Numerical Calculation of Josephson Current
• 4. Josephson Current Through the Fully Polarized Ferromagnetic Insulators
• 5. Josephson Current Through the Eu-Chalcogenides
• 6. Summary
• Acknowledgments
• References
• Two-Dimensional Macroscopic Quantum Dynamics in YBCO Josephson Junctions S. Kawabata, T. Kato, F. Lo
• 1. Introduction
• 2. Model and Lagrangian
• 3. Effective Action
• 4. Thermal Activation Process
• 5. Macroscopic Quantum Tunneling Process
• 6. Comparison with Experiment
• 7. Conclusion
• Acknowledgments
• References
• Generation of Vortices in Superconducting Disks W. M. Wu, M. B. Sobnack and F. V. Kusmartsev
• 1. Introduction
• 2. Formulation and Methodology
• 2.1. Gibbs energy from the London models
• 2.2. Gibbs energy from the Ginzburg-Landau models
• 2.3. Finite temperatures
• 3. Comparison with Experiments
• 4. Conclusion
• References
• Flux Cloning Anomalities in Josephson Nano-Junctions H. F. Hassan and F. V. Kusmartsev
• 1. Introduction
• 2. Flux Cloning
• 3. Numerical Studies of Flux Cloning
• 4. Conclusion
• References
• Talking Breather Qubits T. Fujii, M. Nishida, S. Tanda and N. Hatakenaka
• 1. Introduction
• 2. Classical and Quantum Breathers
• 3. Breather Qubit
• 4. Breather-Electromagnetic Field Interactions
• 5. Entanglement
• 6. Talking Breather Qubits
• 7. Concluding Remarks
• Acknowledgment
• References
• Josephson Plasma Resonance Spectroscopy of the Layered Superconductors with Intrinsic Josephson Effe
• 1. Introduction
• 2. Experimental Setup and Procedures
• 2.1. Bolometric technique for measurements of the resonance absorption
• 2.2. Microwave spectrometer
• 3. JPR in Bi2Sr2CaCu2O8+ and Bi2Sr2CuO6+ in Zero Magnetic Field
• 4. JPR in the Vortex State of Bi2Sr2CaCu2O8+
• 5. Summary
• References
• Formulating Josephson Effects and Vortices by Reformulated Maxwell Equations J. H. Xiao
• 1. Introduction
• 2. Extending Chen’s S-R Additive Decomposition Theorem to any Rank-Two Tensor
• 3. Tensor Expression of Divergence and Curl of Electromagnetic Field
• 4. Reformulated Maxwell Equations and London Equations from Boundary Point
• 5. Maxwell Equations and London Equations from Local Point
• 6. Conclusion
• References
• Free and Induced Vortices Motion in the Josephson Junction Coupled with Waveguide A. S. Malishevskii
• 1. Introduction
• 2. System under Consideration. Basic Equations
• 3. Free Motion of Vortices
• 4. Cherenkov Effect and Velocity Quantization
• 5. Ohmic and Surface Losses
• 6. Cherenkov Losses
• 7. Conclusion
• Acknowledgments
• References
• Part F Semiconductor Heterostructures
• Nondegenerate Parametric Amplification in Superlattices and the Limits of Strong and Weak Dissipatio
• 1. Introduction
• 2. Main Formulas Describing the Nondegenerate Parametric Amplification in a Superlattice
• 2.1. Absorptions for arbitrary amplitudes of the ac fields satisfying 1 + 2 = n
• 2.2. Absorptions for arbitrary amplitudes of the ac fields satisfying 1
• 2.3. Manley-Rowe relations in the limit of weak dissipation
• 3. Absorption of Weak Signal and Idler Fields in the Presence of Strong Pump
• 3.1. Incoherent components of absorption
• 3.2. Coherent absorptions for 1 + 2 = n
• 3.3. Coherent absorptions for 1
• 3.4. The limits of weak and strong dissipation
• 4. Conclusion and Perspectives
• Acknowledgments
• References
• RPA Approach to Non-Linear Transport in Quantum Dots B. Tanatar and V. Moldoveanu
• 1. Introduction
• 2. Model and Theory
• 3. Results and Discussion
• 4. Conclusion
• Acknowledgments
• References
• Magnetic Relaxation of Superconducting Quantum Dot and Tunneling of Electron in a Magnetic Field D.
• 1. Introduction
• 2. Quantum Tunneling of a Vortex
• 2.1. Surface barriers
• 2.2. Dissipation
• 2.3. Vortex mass
• 2.4. Physical model
• 3. Instanton Method
• 3.1. Euclidean Lagrangian
• 3.2. Analytic continuation in !c
• 3.3. Classical trajectories
• 3.4. Jacobi elds
• 3.5. Elimination of zero eigenvalues
• 3.6. Calculation of the Green function
• 3.7. Integrals over the peculiar eigenmodes
• 3.8. Contribution of the trivial trajectory
• 3.9. Instanton gas
• 4. WKB Method
• 4.1. Hamiltonian
• 4.2. The use of symmetries
• 4.3. WKB expansion
• 4.4. Correspondence with the previous results
• 5. Discussion
• Appendix: Faddeev-Popov Procedure
• References
• Theoretical Backgrounds of Nonlinear THz Spectroscopy of Semiconductor Superlattices A. V. Shorokhov
• 1. Introduction
• 2. High-Frequency Absorption of an Arbitrary Probe
• 3. High-Frequency Absorption of a Weak Probe
• 3.1. Absorption at harmonics (2 = m1)
• 3.1.1. Unbiased superlattice
• 3.2. Absorption at integer half-harmonics (2 = m1=2)
• 3.3. Absorption at fractional frequencies (2 = m1=n with n 3)
• 4. Conclusion
• Acknowledgments
• Appendix A. Solution of Boltzmann Equation
• Appendix B. Pavlovich Formula
• References
• Terahertz Bloch Oscillator with Suppressed Electric Domains: Effect of Elastic Scattering T. Hyart,
• 1. Introduction
• 2. Static Electric Characteristic and Small-Signal Gain
• 3. Superlattice Balance Equations
• 4. Large-signal Gain and Stability
• 5. Characteristic Time Scales
• 6. Discussion and Conclusion
• Acknowledgments
• References
• Some Peculiarities of Using of Dielectric Resonators in Microwave Surface Impedance Measurements T.
• 1. Introduction
• 2. A Simple Model
• 3. Analysis and Discussion
• 4. Conclusion
• Acknowledgments
• References
• Part G Electrostatic Field in Superconductors
• Electrostatic Field in Superconductors I: Open Questions J. Kol a cek and P. Lipavsk y
• 1. Introduction
• 2. Field Effect on the Critical Temperature
• 3. Penetration of the Electric Field in Superconductors
• 3.1. Charge profile and the increase of the critical temperature
• 3.2. History of a theoretical picture of the charge profile
• 3.3. The Tao effect
• 4. Conclusion
• Acknowledgments
• References
• Electrostatic Field in Superconductors II: Balance of Forces P. Lipavsk y and J. Kol a cek
• 1. Introduction
• 2. Material Relations
• 2.1. The Ohm law
• 2.2. The Hall effect
• 2.3. The magnetohydrodynamical picture
• 2.4. The London theory
• 3. Balance of Forces
• 3.1. The Bernoulli potential
• 3.2. The charge neutrality
• 3.3. The transient period
• 3.4. The Lorentz force
• 4. Conclusion
• Acknowledgments
• References
• Electrostatic Field in Superconductors III: Thermodynamic Approach J. Kol a cek and P. Lipavsk y
• 1. Introduction
• 2. Phenomenological Description
• 2.1. Thermodynamic relations
• 2.2. Two-fluid model
• 2.3. Currents in the two-fluid model
• 3. Electrostatic Potential
• 3.1. Free energy for the Coulomb interaction
• 3.2. Kinetic energy of the longitudinal velocity
• 3.3. Complete set of equations of motion
• 4. Thermodynamic Corrections
• 4.1. Thomas-Fermi screening
• 4.2. Density dependence of the critical temperature
• 5. Conclusion
• Acknowledgments
• References
• Electrostatic Field in Superconductors IV: Theory of Ginzburg-Landau Type P. Lipavsk y and J. Kol a
• 1. Introduction
• 2. Extended GL Theory
• 2.1. Wave function for the superconducting fraction
• 2.2. Free energy
• 3. Set of Equations
• 3.1. Maxwell equations
• 3.2. Ginzburg-Landau equation
• 3.3. Scalar potential
• 4. Quasineutral Limit
• 4.1. Magnetic properties
• 4.2. Electrostatic properties
• 5. Summary
• Acknowledgments
• References
• Electrostatic Field in Superconductors at Equilibrium P. Lipavsk y and J. Kol a cek
• 1. Introduction
• 1.1. Diamagnetism
• 1.2. Effect of the electric field on the superconductivity
• 1.3. Aim of this paper
• 2. Basic Concepts
• 2.1. Maxwell equations
• 2.2. Material relations
• 2.2.1. The Ohm law
• 2.2.2. The Hall effect
• 2.2.3. The magnetohydrodynamic picture
• 2.2.4. The London theory
• 3. Balance of Forces
• 3.1. The Bernoulli potential
• 3.2. The charge neutrality
• 3.3. The transient period
• 3.4. The Lorentz force
• 3.5. Summary of the balance of forces
• 4. Phenomenological Description
• 4.1. Thermodynamic relations
• 4.2. Two-fluid model
• 4.3. Currents in the two-fluid model
• 5. Electrostatic Potential
• 5.1. Free energy for the Coulomb interaction
• 5.2. Kinetic energy of the longitudinal velocity
• 5.3. Complete set of equations of motion
• 5.4. Thomas-Fermi screening
• 5.5. Thermodynamic corrections to the Bernoulli potential for small magnetic field
• 6. Extended GL Theory
• 6.1. Wave function for the superconducting fraction
• 6.2. Free energy
• 7. Set of Equations
• 7.1. Maxwell equations
• 7.2. Ginzburg-Landau equation
• 7.3. Scalar potential
• 8. Quasi-Neutral Limit
• 8.1. Magnetic properties
• 8.2. Electrostatic properties
• 9. Summary

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Feodor Kusmartsev,CONDENSED MATTER,Volume 24