Course

P461 Physics of Mesoscopic Systems

Course No: 
P461
Credit: 
8
Prerequisites: 
P306 (Introduction to Condensed Matter Physics)
Approval: 
UG-Elective
Syllabus: 

(42 Lectures + 14 Tutorial)

  1. Effectsofmagneticfields:TheAharonovBohmeffect;2Delectrongas;Landaulevels;Transversemodesin2Dquantum wire;ShubnikovdeHaasoscillations;Magneticedgestates;integerQuantumHalleffect,FractionalQuantumHalleffect
  2. Electron transport: Boltzmann semiclassical transport; Onsager reciprocity relations; Conventional Hall effect; Drude conductivity;Einsteinrelation;Electronicstatesinquantumconfinedsystems;Conductancefromtransmission;Ballistic transport;Quantumofconductance;Landauerformula;Quantumpointcontact;T-matrices;S-matrixandgreenfunctions; Current operator; Landauer Buttiker formalism; Linear response and Kubo formula; nonequilib- rium green’s function approach to transport; Scattering: Breit Wigner resonance and Fano resonance; Delay time for resonances; Friedel sum rule; Levin- son.s theorem; Singleelectron tunneling: Coulomb blockade and Kondoeffect
  3. Quantum information: Josephson Junctions and Cubits; Metastable states and escapedynamics
  4. Disorderedconductors:Weaklocalization;Mesoscopicfluctuations;RandomMatrices;Andersonlocalization;Quantum Chaos; Dephasing; Decoherence
Reference Books: 
  1. ElectronicTransportinMesoscopicSystems byS.Datta,CambridgeUniversitypress.
  2. Introduction to Mesoscopic Physics by Y. Imry
  3. Mesoscopic Electronics in Solid State Nanostructures by T. Heinzel
  4. Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations by P. Mello and N. Kumar
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