Mott Insulators: Physics and Applications

Description

This text introduces the subject of Mott insulators and reviews present knowledge in the field, enabling students and researchers to get acquainted with this very interesting and emerging area of science and technology. PRELIMS.pdf Preface Author biography Sindhunil Barman Roy Symbols Introduction References CH001.pdf Chapter 1 Electrons in crystalline solids 1.1 Periodic structure of solids and Bragg scattering 1.2 The direct lattice and the reciprocal lattice 1.3 Metallic solid: a container of free electron gas 1.3.1 Drude model 1.3.2 Pauli exclusion principle, Fermi electron gas and quantum statistical mechanics of electrons 1.3.3 Sommerfeld model 1.3.4 Inadequacies of the Drude and Sommerfeld models 1.4 Electron waves in the periodic ionic-potential of a solid: Bloch’s theorem 1.5 Independent electron approximation and electronic band structure 1.6 Nearly free electron model versus tight binding model 1.7 Quantum chemistry and electron theory of solids 1.8 Methods for calculating electron band structure 1.9 Metals, insulators and semiconductors 1.10 Peierls transition and charge density wave 1.11 Effects of static disorder: Anderson localization Further reading Self-assessment questions and exercises References CH002.pdf Chapter 2 Electron–electron interaction in crystalline solids 2.1 Electron–electron interaction in metals; Hartree–Fock theory 2.2 Hartree–Fock theory of free electrons 2.3 Exchange hole, correlation hole and pair distribution function 2.4 Exchange energy and correlation energy in the electron gas 2.5 Screening in the electron gas 2.6 Hartree–Fock–Slater method and density functional theory 2.7 Fermi liquid theory in metals 2.8 Slater insulator Further reading Self-assessment questions and exercises References CH003.pdf Chapter 3 Mott insulators and related phenomena: a basic introduction 3.1 Localized framework of solid state 3.2 Interacting electron gas: Wigner crystallization and Mott insulating state 3.3 Mott insulator: towards a formal definition 3.4 Pair distribution function and magnetic moments 3.5 Mott–Hubbard insulator 3.6 Theoretical approaches in Mott physics 3.7 Mott–Heisenberg insulator 3.8 Multi-band Mott insulator 3.9 Charge transfer insulator 3.10 Comparison between band-insulator, Mott-insulator and charge transfer insulator 3.11 Mott–Anderson insulator 3.12 Relativistic Mott insulator 3.13 Excitonic insulator Further reading Self-assessment questions and exercises References CH004.pdf Chapter 4 Mott physics and magnetic insulators 4.1 Anderson superexchange and magnetic insulators 4.2 Case studies of antiferromagnetic insulators: manganese monoxide and nickel monoxide 4.3 Double exchange mechanism in mixed-valence systems La1−xSrxMnO3 and Fe3O4 4.3.1 La1−xSrxMnO3 4.3.2 Magnetite-Fe3O4 4.4 Nuclear fuel materials: uranium dioxide and plutonium 4.5 Mott physics of molecular solid oxygen 4.6 Interesting case of copper sulphate pentahydrate Further reading Self-assessment questions and exercises References CH005.pdf Chapter 5 Mott metal–insulator transition 5.1 Bandwidth-control and filling-control Mott transition 5.2 Theoretical approaches in Mott metal–insulator transition 5.2.1 Fermi-liquid based descriptions 5.2.2 Mott physics and metal–insulator transition 5.2.3 What is the nature of Mott metal–insulator transition? 5.2.4 Beyond mean-field theories Further reading Self-assessment questions and exercises References CH006.pdf Chapter 6 Experimental studies on Mott metal–insulator transition 6.1 Temperature induced and bandwidth control Mott metal–insulator transition 6.1.1 Canonical Mott insulator Cr-doped V2O3 6.1.2 Case study of organic Mott-insulators κ-(BEDT-TTF)2X 6.1.3 Case study of the AM4Q8 compounds (A = Ga, Ge; M = V, Nb, Ta, Mo; Q = S, Se, Te) 6.2 Filling control Mott metal–insulator transition 6.2.1 Case study of R1−xAxTiO3 6.2.2 Case study of R1−xAxVO3 6.2.3 Case study of high TC oxide superconductors 6.3 Systems with additional degrees of freedom beyond strong electron correlation 6.3.1 Interesting properties of magnetite Fe3O4 and Verwey transition 6.3.2 Charge and orbital orderings in Mn-oxide compounds with colossal magneto-resistance 6.3.3 Interesting properties of 1T-TaS2 6.4 VO2 and NbO2: Peierls insulators or Mott insulators? 6.5 Sr2IrO4 and Sr3Ru2O7: Mott insulators or Slater insulators? 6.5.1 Sr2IrO4 6.5.2 Sr3Ru2O7 6.6 Mott insulating state in semiconductor surfaces Self-assessment questions and exercises References CH007.pdf Chapter 7 Electron band semiconductor devices 7.1 Physics of intrinsic and extrinsic semiconductors 7.2 Building blocks for semiconductor device 7.3 A brief history of major semiconductor devices and technologies 7.4 Single-junction semiconductor devices 7.5 Bipolar transistor 7.6 Metal–oxide–semiconductor field-effect transistor (MOSFET) and CMOS technology 7.6.1 CMOS technology 7.6.2 Semiconductor memory device 7.7 Beyond logic and memory: opto-electronic devices 7.8 Scaling of MOSFET 7.9 Limit of existing semiconductor technologies 7.10 Beyond CMOS technology 7.10.1 Ferroelectric random access memory and logic 7.10.2 Phase change random access memory 7.10.3 Magnetic random access memory and spintronics 7.10.4 Resistive random access memory Further reading Self-assessment questions and exercises References CH008.pdf Chapter 8 Mott insulator and strongly correlated electron materials based devices 8.1 Mott metal–insulator transition: phase-coexistence and hysteresis 8.2 Mott devices and mechanism of operation 8.2.1 Mott-field effect transistor (MOTT-FET) and a comparison with MOSFET 8.2.2 Boltzmann switch versus Landau switch 8.2.3 Two-terminal Mott devices 8.3 Theoretical models of resistive switching 8.3.1 Resistor network model 8.3.2 Dissipative Hubbard model 8.4 Experimental situation on Mott devices 8.4.1 Mott switches and memory devices 8.4.2 Mott memristor and neuristor 8.4.3 Mott field effect transistors 8.4.4 Thermal and chemical sensors 8.4.5 Photovoltaic applications 8.4.6 Energy storage applications 8.4.7 Photonic devices 8.4.8 Interesting applications of nuclear fuel material UO2 8.4.9 Solid state refrigerant for magnetic cooling technology 8.4.10 Interesting applications of TaS2 Self-assessment questions and exercises References APP1.pdf Chapter A.1 Two-probe and four-probe electrical resistance measurements A.2 Thermal conductivity measurements A.3 Heat capacity measurements A.4 Optical conductivity A.5 Photo-electron spectroscopy References APP2.pdf Chapter Reference APP3.pdf Chapter C.1 Harmonic oscillator problem C.2 Many particle systems References APP4.pdf Chapter D.1 Green’s function D.2 Hubbard’s approach in correlated electron systems using Green’s function References