News:

• Welcome
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General Information:

Lecturer:           Reza Sarvari (office EE210)  

Classes:            Saturday-Monday 13:30-15:00    ; 

Texts:       .(S1)  Simon, The Oxford Solid State Basics, Oxford University Press , 2013
                 .(K1)  Kittel, Introduction to Solid State Physics, John Wiley and Sons, 2004
                 .(A)    Ashcroft and Mermin, Solid State Physics, 1976
                 .(K2)  Kittel and Kroemer, Thermal Physics, W.H. Freeman, and Co, 1980
                 .(P)    Pierret, Advanced Semiconductor Fundamentals, Prentice Hall, 2002
                 .(K3)  Kasap, Principles of Electronic Materials and Devices, McGraw-Hill, 2018
                 .(M)  Merhav, Statistical Physics: a Short Course for Electrical Eng., 2013 

Supplemental:  Moliton, Solid State Physics for Electronics, 2009
                          Galperin, Introduction to Modern Solid State Physics 
                                 
Syllabus:           

Grades(tentative):  20%    Homework
                             30%    2 Mid-terms + 20% Quizes
                             30%    Final Exam

Homeworks/Exams and solutions: 

            homework 1  ;   sol 1  ;   sol1 ;


Lectures: (  Google Drive ) 
10
            Lecture01      (  Lecture01  ) Statistical Physics Basics, Overview
            Lecture01p    (  Lecture01p ) Example: Ideal Gas
            Lecture02      (  Lecture02  ) Kinetic Theory - Maxwell Distribution
            Lecture03      (  Lecture03  ) Elementary Statistical Physics
            Lecture04      (  Lecture04  ) The Canonical Ensemble
            Lecture05      (  Lecture05  ) Fermi-Dirac Stat.
            Lecture06      (  Lecture06  ) Quantum Mechanics, History, Introduction
            Lecture07      (  Lecture07  ) Quantum Mechanics,
            Lecture08      (  Lecture08  ) Specific Heat of Solids
            Lecture09      (  Lecture09  ) Drude Theory of Metals
            Lecture10      (  Lecture10  ) Sommerfeld Theory of Metals
            Lecture11      (  Lecture11  ) Chemical Bonds - Ionic, Covalent
            Lecture12      (  Lecture12  ) 1-d Vibrations of Monoatomic Chain, Phonon
            Lecture13      (  Lecture13  ) 1-d Vibrations of Diatomic Chain
            Lecture14      (  Lecture14  ) Crystal Structure
            Lecture15      (  Lecture15  ) Reciprocal Lattice, Waves in crystals
            Lecture16      ( Lecture16.png  ) Tight Binding
            Lecture17      ( Lecture17.png  ) Near Free Electron
            Lecture18      (  Lecture18  ) Kroning-Penney, Band Structure
            Lecture19      (  Lecture19  ) Band Theory 
            Lecture20      (  Lecture20  ) Electron, Hole


            Notes01  

Slides: 

             01  
             02  
             03  


Lectures:

Structures of crystals: 

• Materials: crystalline, poly-crystalline, amorphous 
• Crystal Structure
• Basis
• Lattice: Bravais Lattice vs. Non Bravais Lattice 
• Unit Cell, Primitive Unit Cell, Wigner-Seitz Unit Cell
• Crystal symmetry 
• Miller Indices      

Review of quantum mechanics: 

• Wave-particle duality 
• Time-independent Schrödinger Equation 
• Probability densities 
• Operators 
• Properties of Eigenfunctions and Eigenvalues 
• Time-Dependent Schrödinger Equation 
• Free Particle, Particle in a Box, Quantum Wells, Tunneling

Energy Band Theory:

• Crystal potential energy structure
• Bloch theorem
• Near free-electron model
• Kronig-Penney model
• Tight binding model

 


Reciprocal lattice, Brillouin zone, and Effective mass:

• Brillouin zone and Zone folding
• Particle motion, Group Velocity, Effective mass
• Carrier and Electron and Hole Current

Bandstructure in 3D for real materials:

• E(k) diagram for Si, Ge, GaAs
• Direct and Indirect Bandgap Semiconductors
• Constant Energy Surfaces
• Effective Mass in 3-D

Density of states:

• Density of states in k-space (periodic/complete reflecting boundary condition)
• Density of states as a function of energy for free space
• Specific materials, such as Si, Ge, and GaAs

Phonons:

• Vibrations in Crystals (Longitudinal/Transverse)
• Dispersion Relation for Elastic Waves (Brillouin Zones)
• Two atoms primitive basis: optical phonons and acoustic phonons
• Quantization of phonon modes

Optical absorption in semiconductors/photonic crystals:

• Joint density of states
• Absorption in direct band gap semiconductors
• Absorption in indirect band gap semiconductors

Binary model systems:

• Thermal Physics
• Binary Model Systems
• Gaussian Approximation to Binomial Coefficients

Temperature and entropy:

• Probability, Average Values
• Ensemble Average, Thermal equilibrium
• Concept of Entropy and Temperature

Laws of thermal dynamics:

• Entropy and heat flow
• Laws of Thermodynamics

Helmholtz free energy, chemical potential:

• Boltzmann factor
• Partition function
• Helmholtz Free energy
• Chemical potential and Diffusive Equilibrium

Applications of chemical potential, semiconductor heterojuction:

• Chemical Potential and Entropy
• Chemical potential and potential energy change
• Gibbs sum and Gibbs factor
• Fermi-Dirac Distribution Function

Fermi-Dirac distribution:

• Fermi-Dirac distribution
• Fermi Gas in three dimensions: ground state and specific heat
• Classical carrier distribution in semiconductors
• Donors and Acceptors in Semiconductors
• Law of mass action
• Fermi level in intrinsic semiconductors

n-typed and p-typed semiconductors:

• Extrinsic semiconductors
• Fermi levels in extrinsic semiconductors
• Degenerate semiconductors

Bosons, Planck/Bose-Einstein distribution:

• Example for calculating the Fermi level
• Dopant ionization consideration
• PN junction
• Concept of quasi Fermi level

Application of Bose-Einstein distribution, thermal photon populations::

• Planck distribution
• Bose-Einstein distribution
• Applications of the Planck/Bose-Einstein distribution:
• Thermal radiation
• Johnson/Nyquist noise  

Recombination‐Generation:

• Non‐equilibrium systems
• Indirect vs. Direct Band gap
• Recombination generation events
• Direct Band‐to‐band Recombination
• Direct Excitonic Recombination
• Indirect Recombination (Trap‐assisted)
  Carrier Capture Coefficients
  SRH Recombination
• Auger Recombination (Inverse Impact Ionization)
• Effective Carrier Lifetime
• Surface states

Carrier Transport:

• Scattering mechanisem
  Ionized inpurity scattering
  Phonon scattering
  Matthession rule
  
• Electron/Hole mobility
• High field effects in mobility
• Hall Effect
• Diffusion
• Continuity equation
• Boltzmann Transport equation  

A:

• b
• c
• d
• e
• f  

Same/Ralated Courses at Other Schools!

• MIT
   6.730 Physics for Solid-State Applications, Graduate
  8.231 Physics of Solids I, Undergraduate
  8.511 Theory of Solids I, Graduate
  8.512 Theory of Solids II, Graduate
   8.231 Physics of Solid I  Check "numerical experiments" at the bottom
  3.15 Electrical, Optical & Magnetic Materials and Devices
• U C Berkeley
  EE230, Solid State Electronics
  Physics 141B, Solid-State Physics 
  Physics 240A, Quantum Theory of Solids
  
•  University of Illinois at Urbana-Champaign
  Physics 460, Solid State Physics (Fall07)
   Physics 560, Condensed Matter Physics I
• CalTech
  APh 114b, Solid State Physics
• Cornell
   ECE407 Physics of Semiconductors and Nanostructures 
•  Florida State University
  PHZ5491 Condensed Matter Physics I
• Northwestern University
   MSE 405 Physics of Solids, Graduate
• Rutgers
  ECE 581 & 582
• McGill University
  PHYS-558 Solid State Physics - Wiki
• UC Santa Cruz
  Physics 155, Solid State Physics
  PHYS 231, Introduction to Condensed Matter Physics
• University of Exeter
  PHY2009 Physics of Crystals
• University of Colorado, Boulder
  Physics 4340, Solid State Physics
  Physics 7440, Solid State Physics I
• Graz University of Technology
  513.001 Molecular and Solid State Physics 
• University College London
   3C25: Condensed Matter Physics  (+)
• University of Florida
  PHY4905 Introduction to Solid State Physics
  PHZ7427, Solid State II
• New Jersey Institute of Technology
  PHYS 446 – Solid State Physics
• University of Delaware
   Physics624 Solid State Physics
• Louisiana State University 
  Solid State physics
• T U Delft
  Solid State Physics
  Advanced Solid State Physics
• University of Washington
   Physics 423 Introduction to Solid State Physics
• West Virginia University
  Phys471 Solid State Physics
• Bucknell University
  PHYS 309 Condensed Matter Physics
• Other 
   Stockholm University - Condensed Matter Physics
   Fisica de Materiales 
  RPI - ECSE6968 Quantum mechanics applied to semiconductor devices

Useful Links:

• ITRS Reports International Technology Roadmap for Semiconductors
• Semiconductor Properties Database
• Transistorized! history of the Transistor
• WebElements: the periodic table on the web
• Solid State Physics. An Introduction by Philip Hofmann  Online resources
• Simulations for Statistical Physics - Java Simulations for Statistical and Thermal Physics 
• Java applets Stony Brook, NY for various solid state subjects (HTE Labs)
• List of quantum chemistry and solid state physics software Wiki
• Pre-defined k-point sets for Crystalline calculations
• Quantum ESPRESSO computer codes for electronic-structure calculations and materials modeling at the nanoscale. (QE Lab - summer school UIUC)
• Predictive Technology Models website useful model files for future transistor and interconnect technologies
• The Solid State Simulation Project package of 14 computer simulations from Cornell University
• XCrySDen crystalline and molecular structure visualisation program
• Band Engineering Poisson's and Schrodinger's equations
• Guides to Writing and Speaking  John Wilkins' advice for giving talks and writing.
• If this page is not fun enough, see FUN ;-)