Course Details
Subject {L-T-P / C} : PH6343 : Mesoscopic Physics { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Pitamber Mahanandia
Syllabus
Band Structure, Density of states of different dimensions.Effect of density of state on electronic transport, Drude theory for electrical conductivity, Motion of electrons in crystal, Boltzman Transport equation, Electrical Conductivity Formula and Einstein Relation. Breakdown of Classical Transport.Linear Response Theory. Electrical resistivity due to electron-electron and electron-phonon interaction. Electronic Transport in the presence of Spin-Orbit interaction. Defnition of the Conductance. Hall Effect and quantum Hall effect. Integer Quantum Hall effect, Fractional Quantum Hall effect. Fermi liquid theory and its Limitation. Fermi liquid theory for Phase coherence and effect of disorder, Interference phenomena. Magnetoresistance(Positive and negative MR), Scaling theories of disordered system. Anderson Scalling theory. Localization (weak localization and strong localization). Dephasing and renormalization. Ballistic transport, VRH, ES-VRH, Fluctuation Induced Transport mechanism (FIT), metal-insulator transition in transport behavior. Aharonov-Bhom effect, conductance quantization, Landau levels, Shubnikov-de Haas oscillations, The Aharonov-Bohm effect. Coulomb blockade effects. Universal conductance fluctuations. Landauer–Büttiker formalism. Kondo effect. Dephasing in interacting system (Luttinger liquid theory). Breit-Wigner resonance and Fano resonance. Quantum dots, electronic states in quantum dots, transport across quantum dots.
Course Objectives
- This course (Mesoscopic Physics) introduces recent developments and fundamental understanding in condensed matter physics. Mesoscopic physics is an intermediate scale between the atoms and the macroscopic object. The basic mechanisms of electronic transport at the mesoscopic or nanoscopic scales, where the macroscopic laws no longer apply and where new concepts related to quantum mechanics are necessary. For possible applications in nano-electronics, it is essential to understand the basic physical properties such as electrical transport of mesoscopic materials. This course would cover basic transport mechanism in ordered and disordered materials. Afterwards the transport mechanism in low dimensional would be discussed.The course would be taught by referring existing books and published relevant articles.
Course Outcomes
This course can provide a basic understanding and broad knowledge for M.Sc.,M.Tech and Ph.D level students. is to The course will be helpful for the M.Sc.,M.Tech and Ph.D student to solve the problem of the material at the mesoscopic level by <br /> investigate systems containing smaller and smaller structures.
Essential Reading
- Y. Imry, Introduction to Mesoscopic Physics, Oxford University Press , 1997
- S. Datta, Electronic Transport in Mesoscopic Systems, Cambridge University Press , 1997
Supplementary Reading
- T. Ihn, Electronic Quantum Transport in Mesoscopic Semiconductor Structures, Springer Tracts in Modern Physics , Vol. 192, 2003
- D. K. Ferry, S. M. Goodnick, and J. Bird, Transport in Nanostructures, Cambridge University Press , 2009