PHYS3004 Crystalline Solids

Slides:

Advertisements

Similar presentations

Lecture 1 Periodicity and Spatial Confinement Crystal structure Translational symmetry Energy bands k·p theory and effective mass Theory of.

Advertisements

EP 311 PHYSICS OF SEMICONDUCTOR DEVICES

Anandh Subramaniam & Kantesh Balani

Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

PA4311 Quantum Theory of Solids Quantum Theory of Solids Mervyn Roy (S6) www2.le.ac.uk/departments/physics/people/mervynroy.

© 2013 Eric Pop, UIUCECE 340: Semiconductor Electronics ECE 340 Lecture 3 Crystals and Lattices Online reference:

Understanding the Giant Seebeck Coefficient of MnO 2 Nanoparticles Costel Constantin James Madison University James Madison University, October 2012.

Energy Bands in Solids: Part II

1 Fermi surfaces and Electron dynamics  Band structure calculations give E(k)  E(k) determines the dynamics of the electrons  It is E(k) at the Fermi.

CHAPTER 3 Introduction to the Quantum Theory of Solids

Exam Study Practice Do all the reading assignments. Be able to solve all the homework problems without your notes. Re-do the derivations we did in class.

The effective mass Conductivity effective mass – determines mobility.

1 Electronic Band Structure of Solids Introduction to Solid State Physics

1. Chemical Bonding in Solids The Periodic Table Covalent Bonding Ionic Bonding Metallic Bonding The Hydrogen Bond The van der Waals Bond.

Lecture Jan 31,2011 Winter 2011 ECE 162B Fundamentals of Solid State Physics Band Theory and Semiconductor Properties Prof. Steven DenBaars ECE and Materials.

A return to density of states & how to calculate energy bands

IV. Electronic Structure and Chemical Bonding J.K. Burdett, Chemical Bonding in Solids Experimental Aspects (a) Electrical Conductivity – (thermal or optical)

Crystal Lattice Vibrations: Phonons

AME Int. Heat Trans. D. B. GoSlide 1 Non-Continuum Energy Transfer: Electrons.

Introductory Nanotechnology ~ Basic Condensed Matter Physics ~

Physics 355. Consider the available energies for electrons in the materials. As two atoms are brought close together, electrons must occupy different.

Textbook: Electronic Devices and Circuit Theory Robert L.Boylested.

Solid State Physics Bands & Bonds. PROBABILITY DENSITY The probability density P(x,t) is information that tells us something about the likelihood of.

Review of Semiconductor Physics Energy bands Bonding types – classroom discussion The bond picture vs. the band picture Bonding and antibonding Conduction.

Computational Solid State Physics 計算物性学特論第４回 4. Electronic structure of crystals.

Yoon kichul Department of Mechanical Engineering Seoul National University Multi-scale Heat Conduction.

The Ig Nobel Prizes are  “Booby Prizes”!

Gavin W Morley Department of Physics University of Warwick

Specific Heat of Solids Quantum Size Effect on the Specific Heat Electrical and Thermal Conductivities of Solids Thermoelectricity Classical Size Effect.

1 lectures accompanying the book: Solid State Physics: An Introduction, by Philip Hofmann (2nd edition 2015, ISBN- 10: , ISBN-13: ,

Review of Semiconductor Physics Energy bands Bonding types – classroom discussion The bond picture vs. the band picture Bonding and antibonding Conduction.

Solid-state physics Gorbachenko Vasyl. What is it? Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics,

29-1Bonding in Molecules *When atoms cling together as a single unit to achieve lower energy levels, this is a chemical bond. *Bonds occur as ionic an.

Electronic Band Structures electrons in solids: in a periodic potential due to the periodic arrays of atoms electronic band structure: electron states.

ELECTRON AND PHONON TRANSPORT The Hall Effect General Classification of Solids Crystal Structures Electron band Structures Phonon Dispersion and Scattering.

Electronic Bandstructures Information from Kittel’s book (Ch. 7) + many outside sources. Some lectures on energy bands will be based on those prepared.

9. Fermi Surfaces and Metals

The Tightbinding Bandstructure Theory

1 Lecture VIII Band theory dr hab. Ewa Popko. 2 Band Theory The calculation of the allowed electron states in a solid is referred to as band theory or.

Bandstructures: Real materials. Due my interests & knowledge, we’ll mostly focus on bands in semiconductors. But, much of what we say will be equally valid.

Overview of Solid State Physics Starting from the Drude Model.

Free electron theory of Metals

NEEP 541 Ionization in Semiconductors Fall 2002 Jake Blanchard.

Which of the following refer to the basic categories associated with the energy of a single molecule in a gaseous phase?

Properties of metals Metals (75% of elements) Lustrous (reflect light)

Electrons in Solids Simplest Model: Free Electron Gas Quantum Numbers E,k Fermi “Surfaces” Beyond Free Electrons: Bloch’s Wave Function E(k) Band Dispersion.

Kronig-Penney model and Free electron (or empty lattice) band structure Outline: Last class: Bloch theorem, energy bands and band gaps – result of conduction.

Question on Van der Waals Interactions

Metallic Solids Metallic bond: The valence electrons are loosely bound. Free valence electrons may be shared by the lattice. The common structures for.

Review of solid state physics

PHY 752 Solid State Physics

Do all the reading assignments.

Review of Semiconductor Physics

Schrödinger's Cat A cat is placed in an airtight box with an oxygen supply and with a glass vial containing cyanide gas to be released if a radiation detector.

Solid state physics Lecture 3: chemical bonding Prof. Dr. U. Pietsch.

Tightbinding (LCAO) Approach to Bandstructure Theory

ECEE 302: Electronic Devices

The Ig Nobel Prizes are  “Booby Prizes”!

Polytetrafluoroethylene

Physics 342 Lecture 28 Band Theory of Electronic Structure in Solids

Electronic Structure and First Principles Theory

Band Theory of Solids 1.

Molecular Orbital Theory

More Wave Equation Solutions Leading To Energy Bands 23 and 25 January 2017.

More Wave Equation Solutions Leading To Energy Bands 3 and 5 February 2014.

PHY 752 Solid State Physics Plan for Lecture 30: Chap. 13 of GGGPP

Energy Band 7 In free electron model, electrons occupy positive energy levels from E=0 to higher values of energy. They are valence electron so called.

More Wave Equation Solutions Leading To Energy Bands 2 and 4 February 2015.

More Wave Equation Solutions Leading To Energy Bands 30 January And 1 February 2019.

Presentation transcript:

PHYS3004 Crystalline Solids Prof. P.A.J. de Groot

1. BONDING IN SOLIDS Born-Oppenheimer Approximation Linear Combination of Atomic Orbitals

1. BONDING IN SOLIDS Covalent bonding Ionic bonding Metallic bonding Van der Waals bonding

1. BONDING IN SOLIDS Covalent bonding: LCAO Bonding and anti-bonding states

2. CRYSTAL LATTICES Lattice & basis Wigner-Seitz cell R1

3. RECIPROCAL LATTICE Diffraction of waves (x-rays) Reciprocal lattice

3. RECIPROCAL LATTICE First Brillouin zone Bloch theorem:

4. FREE ELECTRON MODEL – JELLIUM Electrons in a box Time independent Schrödinger eq. Plane wave solutions Boundary conditions (box is finite)

4. FREE ELECTRON MODEL – JELLIUM Density of states Fermi energy

4. FREE ELECTRON MODEL – JELLIUM Charge oscillations – plasmons Electrical transport (relaxation time) Quantum Jellium Hall effect Breakdown of Jellium Model

5. NEARLY-FREE ELECTRON MODEL Perturbation theory – only significant changes in E(k) near degenerate points

5. NEARLY-FREE ELECTRON MODEL Effective mass Electrons and holes

6. TIGHT BINDING jellium  nearly-free electrons  tight binding  atoms

6. TIGHT BINDING LCAO Bloch theorem Crystal momentum

7. MAGNETIC PROPERTIES OF CRYSTALS Paramagnetism – partly filled shells Curie’s law

7. MAGNETIC PROPERTIES OF CRYSTALS Pauli paramagnetism Ferromagnetism & mean field theory

7. MAGNETIC PROPERTIES OF CRYSTALS

8. SEMICONDUCTORS Intrinsic Doping (donors/acceptors) Valence band Conduction band

8. SEMICONDUCTORS Transport (electrons/holes) Einstein relation

8. SEMICONDUCTORS MOSFET Depletion width Gate-controlled conduction channel 2D electron gas – quantum Hall effect Vs metal SiO2 x p-Si