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171120s2017 ne ob 000 0 eng d |
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|a 1012550677
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|a UAMI
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|a Yonezawa, F.
|q (Fumiko),
|e author.
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|a Physics of metal-nonmetal transitions /
|c Fumiko Yonezawa.
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|a Amsterdam :
|b IOS Press,
|c 2017.
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|a 1 online resource
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a Includes bibliographical references.
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|a Online resource; title from PDF title page (IOS Press, viewed November 20, 2017).
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|a Annotation
|b Material undergoes the transformation from metal to non-metal or from non-metal to metal when environmental conditions, such as temperature and pressure, or the percentages of constituent components are changed. Such a transition is known as the metal-nonmetal (M-NM) transition. This book, 'The Physics of Metal - Nonmetal Transitions', explores the mechanisms so far discovered which cause the M-NM transition and presents a systematic discussion of them. All the mechanisms are discussed in terms of energy bands, and the band theory is introduced and explained in chapter 2. Once chapters 1 and 2 have been assimilated, the remaining chapters can be read independently of each other if required. The mechanisms discussed therein include the Peierls transition, the Bloch-Wilson transitions - types I and II respectively - the second of which was discovered by the author and her students. Subsequent chapters cover the Anderson transition and the Mott transition, and each chapter includes not only traditional theories, but also updated information about more recent research. The book can be used either as a textbook for undergraduate and postgraduate students of science and technology or as an introductory treatise for researchers in a wide variety of fields.
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|a Title Page -- Preface -- Contents -- Chapter 1. Metals and Nonmetals -- 1.1 The 'macroscopic' and 'microscopic' world -- 1.1.1 Three stages of the 'microscopic' world -- 1.1.2 Condensed matter physics -- 1.1.3 Macroscopic measurements -- 1.1.4 Electric conductivity as a probe to analyze the microscopic world -- 1.2 The magnitude of electric conductivity and resistivity -- 1.2.1 Metals -- 1.2.2 Insulators -- 1.2.3 Semimetals -- 1.2.4 Semiconductors -- 1.3 Existence of free electrons -- 1.3.1 What indeed is a metal? -- 1.3.2 What kinds of materials belong to the group of metals? -- 1.3.3 Characteristic features of metals -- Chapter 2. Electron Theory of Metals and The Band Theory -- 2.1 The Drude theory of electrons -- 2.1.1 Number of 'free electrons' -- 2.1.2 Electric conductivity of direct current -- 2.1.3 The Hall coefficient -- 2.1.4 Electric conductivity of alternating current -- 2.2 Fermi Gas -- 2.2.1 The Fermi-Dirac Distribution -- 2.2.2 The Boltzmann equation -- 2.2.3 Conditions that a material be a metal -- 2.3 The band theory -- 2.3.1 The Bloch electrons -- 2.3.2 Demonstration of the Schrodinger equation in terms of the reciprocal lattice vectors -- 2.3.3 Energy bands -- 2.3.4 Effective mass -- 2.4 The temperature dependence of electric resistivity of a metal -- 2.4.1 Evaluation of the temperature dependence -- 2.4.2 Comparison between a metal and a nonmetal -- 2.4.3 Discontinuity of the electric resistance at the melting point -- 2.5 Metal-nonmetal transitions -- Chapter 3. Peierls Transition: Metal-Nonmetal Transition due to the Change of Periodicity -- 3.1 What happens when the periodicity of a crystal changes? -- 3.1.1 The case in which the periodicity is doubled -- 3.1.2 The case in which the periodicity is tripled and the cases for the other periodicity -- 3.2 Density response function.
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|a 3.2.1 Derivation of the density auto-correlation function -- 3.2.2 The density auto-correlation function at the absolute zero -- 3.2.3 Influence of the finite temperature -- 3.3 Order parameter -- 3.3.1 The total energy of a one-dimensional system at the absolute zero -- 3.3.2 The width of the energy gap at the absolute zero -- 3.3.3 The gap equation -- 3.4 Peierls transition in realistic materials -- 3.4.1 Peierls insulator -- 3.4.2 Charge density wave -- 3.4.3 Commensurability -- 3.4.4 Electric conduction in TTF-TCNQ -- 3.4.5 Metallization of organic materials under pressure -- Chapter 4. Bloch-Wilson Transition Type I: Metal-Nonmetal Transition due to the Band Overlap -- Part 1 -- 4.1 The mechanism of the band overlap -- Part 1 -- 4.1.1 Isolated atom and polyatomic molecule -- 4.1.2 The tight-binding approximation -- derivation of general equations -- 4.1.3 One-dimensional and three-dimensional crystals -- 4.1.4 The broadening of bands and the band overlap -- 4.1.5 The energy bands of some element metals -- 4.1.6 Bloch-Wilson transition -- Type I and Type II -- 4.2 Bloch-Wilson transition -- Type I -- 4.2.1 Black phosphorus -- 4.2.2 Iodine -- 4.2.3 Bromine -- 4.2.4 Mercury -- Chapter 5. Bloch-Wilson Transition Type II: Metal-Nonmetal Transition due to the Band Overlap -- Part 2 -- 5.1 The mechanism of the band overlap -- Part 2 -- 5.1.1 The level difference Delta epsilon mu+1,mu -- both (1) when Delta epsilon mu+1,mu is nearly constant and (2) when it is variable -- 5.1.2 The origin of the energy level difference -- 5.1.3 The difference of levels depends on the interatomic distance -- 5.2 The Bloch-Wilson transition of the type II -- 5.2.1 Element materials in group 14 -- 5.2.2 Expanded selenium -- 5.2.3 Se at high temperature and pressure -- Chapter 6. Anderson Transition: Metal-Nonmetal Transition due to Disorder -- 6.1 The Anderson localization.
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|a 6.1.1 The absence of diffusion in certain random lattices -- 6.1.2 The tight-binding representation -- 6.1.3 The theory of the Anderson localization -- 6.2 The scaling theory -- 6.2.1 The Thouless number -- 6.2.2 Theory of the renormalization group -- 6.3 The mobility edge -- 6.3.1 Metal-nonmetal transition -- 6.3.2 The critical exponent -- 6.4 The concept of the Anderson localization -- Chapter 7. Mott Transition: Metal-Nonmetal Transition due to Electron Correlation -- 7.1 A system with a partially-filled band -- 7.2 The Hubbard theory -- 7.3 Strongly-correlated electron systems -- 7.3.1 The phase diagrams on the (x e, 2 V/I) plane and on the (x h, 2 V/I) plane -- 7.3.2 The phase diagrams on the (x h, T) plane -- 7.3.3 The conditions for the occurrence of the Mott insulator-to-metal transition -- 7.4 The Mott transition and the Anderson localization -- 7.5 Fluids under high temperature and high pressure -- Chapter 8. Postscript -- Chapter 9. Appendices -- A The reciprocal lattice -- B Metal-nonmetal transition by the percolation mechanism -- C The evaluation of the density auto-correlation function at the absolute zero temperature -- D Evaluation of the integrals used in the discussion of the Peierls transition -- E The primitive vectors and other properties in 1D and 3D crystals -- F Electronic energy in the tight-binding approximation -- Bibliography.
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|a Transition metals.
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|i Print version:
|a Yonezawa, F. (Fumiko).
|t Physics of metal-nonmetal transitions.
|d Amsterdam : IOS Press, 2017
|z 1614997861
|z 9781614997863
|w (OCoLC)1011119166
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