Layered Structure Effects as Realisation of Anizotropy in Magnetic, Galvanomagnetic and Thermoelectric Phenomena

Peter V. Gorskyi, PhD
Institute of Thermoelectricity of National Science Academy and Ministry of Education and Science of Ukraine, Chernivtsi, Ukraine

Series: Physics Research and Technology
BISAC: SCI055000

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Many materials used in devices intended for converting the energy or information in its crystal structure belong to the layered ones. These materials include transition metal dichalcogenides, intercalated graphite compounds, semiconductors with superlattice, synthetic metals based on organic compounds, etc.

This book examines the influence of nonparabolicity effects on magnetic, electric and thermoelectric properties of layered crystals with closed or transient Fermi surfaces, although most researchers believe that these effects can be pronounced only for high-open Fermi surfaces. The book can be recommended as a reference or textbook for undergraduate and graduate students of higher educational institutions as well as for professionals interested in the special problems of theoretical condensed matter physics. (Imprint: Nova)

Preface

Chapter 1. Introduction

Chapter 2. Energy Spectrum of Charge Carriers in a Layered Crystal and Thin Film on its Basis in A Quantizing Magnetic Field

Chapter 3. Electron Density of States and Statistic Properties of Electron Gas in Layered Crystals and Thin Films on their Basis in the Absence of a Magnetic Field

Chapter 4. Density of States and Statistical Properties of Electron Gas in Layered Crystals in the Presence of Interlayer Charge Ordering

Chapter 5. Statistical Properties of Electron Gas in Layered Crystals and Thin Films on their Basis in the Presence of a Quantizing Magnetic Field under Strong Degeneracy Conditions

Chapter 6. Statistical Properties of Electron Gas in Layered Crystals and Thin Films on their Basis in the Presence of a Quantizing Magnetic Field under Weak and Intermediate Degeneracy Conditions

Chapter 7. Statistical Properties of Electron Gas in Layered Charge-Ordered Crystals in a Quantizing Magnetic Field under Strong Degeneracy Conditions

Chapter 8. Statistical Properties of Electron Gas in Layered Charge-Ordered Crystals in a Quantizing Magnetic Field under Weak and Intermediate Degeneracy Conditions

Chapter 9. General Formulae for the Diamagnetic Susceptibility of Electron Gas in Layered Crystals and Thin Films on their Basis

Chapter 10. Landau Diamagnetism and Total Magnetic Susceptibility of Electron Gas in Layered Crystals and Thin Films on their Basis in a Weak Magnetic Field

Chapter 11. Diamagnetic Susceptibility of Charge-Ordered Layered Crystals in a Weak Magnetic Field

Chapter 12. De Haas-Van Alphen Diamagnetism in Layered Crystals and Thin Films on their Basis

Chapter 13. De Haas-Van Alphen Diamagnetism in Charge-Ordered Layered Crystals

Chapter 14. Langevin Diamagnetism in Layered Crystals and Thin Films on their Basis

Chapter 15. Langevin Diamagnetism in Charge-Ordered Layered Crystals

Chapter 16. General Formulae for a Longitudinal Electric Conductivity of a Layered Crystal in a Strong Quantizing Magnetic Field and General Conditions for the Origination of Longitudinal Galvanomagnetic Effects

Chapter 17. Longitudinal Electric Conductivity of Layered Crystals in a Quantizing Magnetic Field under Strong Degeneracy Conditions and in the Approximation of Constant Relaxation Time

Chapter 18. Longitudinal Electric Conductivity of Layered Crystals in a Quantizing Magnetic Field under Strong Degeneracy Conditions and in the Approximation Of Constant Electron Mean Free Path

Chapter 19. Shubnikov-De Haas Effect in Layered Crystals with Two-Sheeted Fermi Surfaces in Quasi-Classical Approximation

Chapter 20. Longitudinal Electric Conductivity of Layered Crystals in A Quantizing Magnetic Field with Relaxation Time Proportional to Total Electron Velocity

Chapter 21. Longitudinal Conductivity of a Layered Crystal in a Quantizing Magnetic Field in a Model of Relaxation Time Proportional to Longitudinal Velocity

Chapter 22. Effect of Interlayer Charge Ordering on Longitudinal Electric Conductivity of Layered Crystals under Strong Degeneracy Conditions

Chapter 23. Simple Formulae for Longitudinal Electric Conductivity of Layered Charge-Ordered Crystals

Chapter 24. General Formula for the Seebeck Coefficient of Layered Crystals in a Quantizing Magnetic Field

Chapter 25. Field Dependence of the Seebeck Coefficient in Layered Crystals in the Approximation of Constant Relaxation Time

Chapter 26. Field Dependence of the Seebeck Coefficient in a Layered Crystal in the Model of Constant Mean Free Path

Chapter 27. Field Dependence of the Seebeck Coefficient in a Layered Crystal in the Model of Relaxation Time Proportional to Full Electron Velocity

Chapter 28. Field Dependence of the Seebeck Coefficient in the Model of Relaxation Time Proportional to Longitudinal Velocity

Chapter 29. Effect of Charge Ordering on the Seebeck Coefficient of Layered Crystals

Chapter 30. Power Factor of a Layered Crystal in the Approximation of Constant Relaxation Time

Chapter 31. Power Factor of a Layered Crystal in the Approximation of Constant Mean Free Path of Charge Carriers

Chapter 32. Power Factor of a Layered Crystal with Relaxation Time Proportional to Full Electron Velocity on the Fermi Surface

Chapter 33. Power Factor of a Layered Crystal at Relaxation Time
Proportional to Electron Longitudinal Velocity

Chapter 34. Power Factor of a Charge-Ordered Layered Crystal

Chapter 35. Longitudinal Electric Conductivity of Layered Crystals in the Absence of a Magnetic Field under Conditions of Weak and Intermediate Degeneracy

Chapter 36. Longitudinal Magnetoresistance of Layered Crystals under Weak and Intermediate Degeneracy

Chapter 37. Longitudinal Electric Conductivity of Layered Crystals in the Absence of Magnetic Field under Conditions of Weak and Intermediate Degeneracy with Regard to the Influence of FS Closeness on Scattering

Chapter 38. Longitudinal Magnetoresistance of a Layered Crystal under Conditions of Weak and Intermediate Degeneracy with Regard to the Influence of Density of States on Scattering

Chapter 39. Temperature-Dependent Kapitsa Effect

Chapter 40. The Kapitsa Effect in Charge-Ordered Layered Crystals

Chapter 41. Temperature Dependence of Longitudinal Electric Conductivity of Layered Charge-Ordered Crystals in the Absence of a Magnetic Field

Chapter 42. Magnetoresistance Inversion in Charge-Ordered Layered Crystals at Ą = const

Chapter 43. Longitudinal Electric Conductivity of Charge-Ordered Layered Crystals in the Absence of a Magnetic Field under Conditions of Weak and Intermediate Degeneracy with Regard to FS Closeness Impact on Scattering

Chapter 44. Magnetoresistance Inversion in the Charge-Ordered Layered Crystals at ƒÑ å 1/g(ƒÃ)

Chapter 45. General Formula for the Seebeck Coefficient of a Layered Crystal under Conditions of Weak and Intermediate Degeneracy

Chapter 46. Temperature Dependence of the Seebeck Coefficient in a Layered Crystal in the Absence of a Magnetic Field in the Approximation of Constant Relaxation Time

Chapter 47. Magnetic Field Dependence of the Seebeck Coefficient of a Layered Crystal under Conditions of Weak and Intermediate Degeneracy in the Approximation of Constant Relaxation Time

Chapter 48. Temperature Dependence of the Seebeck Coefficient in a Layered Crystal with Regard to Energy Dependence of Relaxation Time

Chapter 49. Magnetic Field Dependence of the Seebeck Coefficient of a Layered Crystal under Conditions of Weak and Intermediate Degeneracy in the Approximation of Energy-Dependent Relaxation Time

Chapter 50. Temperature Dependence of the Seebeck Coefficient of Layered Charge-Ordered Crystals in the Absence of a Magnetic Field

Chapter 51. Magnetic Field Dependence of the Seebeck Coefficient of the Charge-Ordered Layered Crystals under Conditions of Weak and Intermediate Degeneracy in the Approximation of Constant Relaxation Time

Chapter 52. Temperature Dependence of the Seebeck Coefficient of a Charge-Ordered Layered Crystal in the Approximation of Energy-Dependent Relaxation Time

Chapter 53. Field Dependence of the Seebeck Coefficient of Layered Charge-Ordered Crystals under Conditions of Weak and Intermediate Degeneracy with Regard to Energy Dependence of Relaxation Time

Chapter 54. Power Factor of a Layered Crystal in the Absence of a Magnetic Field

Chapter 55. Magnetic Field Dependence of Power Factor of a Layered Crystal in the Approximation of Constant Relaxation Time under Conditions of Weak and Intermediate Degeneracy

Chapter 56. Temperature Dependence of Power Factor of a Layered Crystal under Conditions of Weak and Intermediate Degeneracy with Regard to Energy Dependence of Relaxation Time

Chapter 57. Field Dependence of Power Factor of a Layered Crystal under Conditions of Weak and Intermediate Degeneracy with Regard to the Energy Dependence of Relaxation Time

Chapter 58. Power Factor of a Layered Charge-Ordered Crystal in the Absence of a Magnetic Field under Conditions of Weak and Intermediate Degeneracy

Chapter 59. Field Dependence of Power Factor of a Charge-Ordered Layered Crystal in the Approximation of Constant Relaxation Time under Conditions of Weak and Intermediate Degeneracy

Chapter 60. Temperature Dependence of Power Factor of Layered Charge-Ordered Crystals under Weak and Intermediate Degeneracy in the Absence of a Magnetic Field with Regard to the Energy Dependence of Relaxation Time

Chapter 61. Field Dependence of Power Factor of a Charge-Ordered Layered Crystal with Regard to the Energy Dependence of Relaxation Time under Conditions of Weak and Intermediate Degeneracy

Chapter 62. Classification and General Characterization of Size Effects Used for Figure of Merit Improvement of Thermoelectric Materials

Chapter 63. TEM Lattice Thermal Conductivity Reduction through Optimization of its Shape-Forming Element

Chapter 64. Effect of Charge Carrier Scattering on the Boundaries on the Electric Conductivity of TEM Contacting Particles

Chapter 65. Effect of TEM Anisotropy on the Electric Conductivity of its Contacting Particles

Chapter 66. The Mechanism of Thermoelectric Figure of Merit Increase in the Bulk Nanostructured TEM

Chapter 67. Method for Kinetic Coefficients Averaging over the Size of Particles and its Impact on the Predicted Figure of Merit of the Bulk Nanostructured TEM

Chapter 68. On the Possibility of Using TEM Powders of Variable Granulometric Composition for the Fabrication of Thermoelectric Modules

Chapter 69. On The Importance of a Knowledge of a Real Frequency Dependence of the Density of Phonon States for Prediction of the Thermoelectric Figure of Merit of TEM

Conclusion

References

Index

"Modern technologies turn the fancies of physicists into reality. “God created crystals, but man created superlattices!” – this is a well-known aphorism of Leo Esaki, the Nobel Prize laureate, about new semiconductor materials based on the ordered nanostructures whose quantum characteristics can be changed in the intended direction. Physicists create a wonderful world for charge carriers in such materials: like Alice in Wonderland, conduction electrons can move at researcher’s wish, from a conventional 3-dimensional to low-dimensional world, where their motion is restricted within one or 2 coordinates." READ MORE... - V.T. Maslyuk, D.Sc. in Physics and Mathematics, Professor, Head of Photonuclear Processes Department, Institute of Electron Physics of the NAS of Ukraine

This book is written for undergraduate and graduate students and professionals in magnetism, thermoelectricity, low temperature physics, and theory of condensed matter.

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