Curriculum
Subject: Condensed Matter Physics II
Paper Code: 09020403
S No. | Topic | Learning Objective | Teaching Guidelines | Methodology | Time
(Hrs) |
1 | · Motion of electrons in bands and the effective mass tensor
· Currents in bands and holes · Scattering of electrons in bands (elastic, inelastic and electron-electron scatterings) · The Boltzmann equation, Relaxation time ansatz and linearized Boltzmann equation |
The student will be able to learn semi classical treatment of motion of electrons in band, transport phenomena and the scattering of electrons in bands | To cover the concepts of band structure, relaxation time, effective mass and scattering. | Black board teaching
Online lectures
Power point presentations |
3 |
2 | · Electrical conductivity of metals
· Temperature dependence of resistivity and Matthiesen’s rule |
The student will be able to discuss the conductivity of metals and the temperature dependence of metal resistivity | To cover different methods to determine resistivity or conductivity | Black board teaching
Online lectures
Power point presentations |
3 |
3 | · Thermoelectric effects, Thermopower
· Seebeck effect, Peltier effect, The Wiedemann-Franz law. |
The student will be able to discuss phenomenon based of thermoelectricity and the laws associated with it. | To cover definitions of Thermoelectricity, Seebeck effect and Peltier effect | Black board teaching
Online lectures
Power point presentations |
2 |
4 | · Nanostructures; Imaging techniques (principle)
· Electron microscopy (TEM, SEM) · Optical microscopy, Scanning tunneling microscopy · Atomic force microscopy |
The students will be able to learn about electron microscopy techniques. | To cover construction, working principle and application of particular technique. | Black board teaching
Online lectures
Power point presentations |
5 |
5 | · Electronic structure of 1D systems, 1D sub bands
· Van Hove singularities; 1D metals- Coulomb interactions and lattice couplings · Electrical transport in 1D:Conductance quantization and the Landauer formula · Two barriers in series- Resonant tunneling Incoherent addition and Ohm’s law · Coherence-Localization; Electronic structure of 0D systems (Quantum dots) · Quantized energy levels, Semiconductor and metallic dots · Optical spectra, Discrete charge states and charging energy Electrical transport in 0D- Coulomb blockade phenomenon. |
The student will learn about electronic structure and transport in 0D and 1Dsolid systems. | To cover the concept of 0D and 1D structures, band structure and density of states of different structures. | Black board teaching
Online lectures
Power point presentations |
7 |
6 | · The basic Hamiltonian in a solid: Electronic and ionic parts
· One-electron model · The adiabatic approximation |
The student will be able to learn about total energy in a solid and the effect of a perturbation on the system. | · To Cover the determination of Hamiltonian equation and one-electron model | Black board teaching
Online lectures
Power point presentations |
3 |
7 | · The Hartree equations, Exchange: The Hartree-Fock approximation
· Hartree-Fock theory of free electrons- Ground state energy, exchange energy, correlation energy (only concept) |
The student will be able to determine wave function and the energy of a quantum many-body system in a stationary state. | To cover introduction to slater determinant and variational method in order to discuss the Hartree-Fock approximation | Black board teaching
Online lectures
Power point presentations |
3 |
8 | · Screening in a free electron gas: The Dielectric function
· Thomas-Fermi theory of screening · Calculation of Lindhard response function · Lindhard theory of screening, Friedel oscillations · Frequency dependent Lindhard screening (no derivation). |
The student will be able to calculate the effects of electric field screening by electrons in a solid | To cover the difference between Thomas-Fermi and Lindhard theory of screening | Black board teaching
Online lectures
Power point presentations |
4 |
9 | · Many-particle Schrodinger wave equation in first quantization
· The single-particle states as basis states · Normalized symmetric and anti-symmetric wave functions |
The student will be able to learn the wave mechanical description of many particle system in first quantization | To cover the definitions of eigen values, wavefunctions and eigen states. | Black board teaching
Online lectures
Power point presentations |
3 |
10 | · Second quantization: Transformation of Schrodinger equation to occupation number representation (both for bosons and fermions)
· Many-particle Hilbert space and creation and destruction operators · Field operators, Second-quantized from of number density operator · Application to degenerate electron gas · First and second-quantized Hamiltonian operator |
The student will be able to determine wave functions with Boson Symmetry and with Fermion Symmetry in the Occupation Number Representation. | To cover the definitions of occupation number, density operator, bosons and fermions | Black board teaching
Online lectures
Power point presentations |
4 |
11 | · rs parameter, Ground-state energy in first-order perturbation theory
Contact with the Hartree-Fock result, Exchange energy. |
The student will be able to determine Ground-state energy in first-order perturbation | To cover contact with the Hartree-Fock result and Exchange energy. | Black board teaching
Online lectures
Power point presentations |
3 |
Books Recommended:
- Solid State Physics: An Introduction to Principles of Materials Science (4th Ed.) by H. Ibach andH. Luth
- Introduction to Solid State Physics (8th Ed.) by Charles Kittel
- Solid State Physics by Neil W. Ashcroft and N. David Mermin
- The Wave Mechanics of Electrons in Metals by Stanley Raimes
- Quantum Theory of Many-particle Systems by A. L. Fetter and J. D. Walecka
- Many-body Quantum Theory in Condensed Matter Physics by H. Bruus and K. Flensberg