Optical spectroscopy on correlated electron systems
Mihály László, Kézsmárki István
BME Fizika Tsz., 2006 tavaszi félév
Vizsga: Junius 12
Vizsga Tézisek
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1. EM waves in a medium, complex dielectric function, interfaces, reflectivity and transmission, Kramer Kronig relations, Drude and oscillator models
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2. Band electrons and Boltzman equation: Direct and indirect gaps, semi-classical calculation in 2D, doped silicon
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3. Metal-insulator transitions: Hubbard model, CDW, polyacetylene
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4. Superconductivity: BCS, Strong coupling, high Tc gap, phase diagram
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5. Heavy Fermions: Anderson Hamiltonian, PAM, Kondo alloys. CMR materails
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6. Operations of an FT-IR spectrometer, brightness, throughput, comparing FT and grating spectrometers
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7. Magneto optical response of a quasi free electron system
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8. Quantum mechanical treatment of magneto optics: transition matrix elements, oscillator strength, sum rules and line shapes of interband transitions
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9. Magneto optics: Experimental methods and current applications
Tipikus vizsga kérdés: Milyen a (Drude fém, félvezető, szupravezeto, heavy fermion, CDW .... stb.) optikai vezetőképessége
a frekvencia függvényében? Miért olyan?
Table of Contents (Links are to entry points for the lecture notes in pdf format. Be patient, the typical
file size is 1MB.)
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A quick summary of basic E&M (Lecture 1)
- Maxwell equations in free space and medium
- Interfaces
- Kramers-Kronig relations (Lecture 2)
- Classical models for metals and insulators
- Drude model
- Oscillator model
- Beyond classical: Band electrons and Boltzmann equation (Lecture 3)
- Direct and indirect gap
- Semi-classical calculation in a two dimensional band
- Doped silicon
- Metal-insulator transitions (Lecture 4)
- Optical conductivity in the Hubbard model
- Spin and charge density waves
- Polyacethylene
- Superconductivity (Lecture 5)
- BCS theory and experiment
- Beyond weak coupling: the Eliashberg theory and the Allen formula
- High Tc superconductivity
- Experimental search for the gap
- High Tc phase diagram
- Heavy Fermions (Lecture 6)
- Anderson Hamiltonian and the periodic Anderson model
- Kondo alloys
- Heavy Fermions
- Colossal magnetoresistance: the physics of perovskites
- Optical spectroscopy methods (Lecture 7)
- Coherence and interference
- Light sources
- NSLS: an example for the synchrotron source
- Taking light from one place to another (Lecture 8)
- Detecting light
- Comparing spectrometers: intensity, brightness and throughput
- The operation of an FT-IR spectrometer
- Gyrotropic medium (Lecture 9)
- Free electron gas
- Doped semiconductors
- Quantum mechanical treatment (Lecture 10)
- Energy shift and matrix element effects
- Exchange and spin-orbit couplings
- Paramagnetic and ferromagnetic materials
- Experimental methods and representative experiments (Lecture 11)
Recommended literature and references
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- "Solid State Spectroscopy" H. Kuzmany (Springer, 1998)
- "Solid State Physics: Problems and Solutions" L. Mihály and M.C. Martin (Wiley, 1996)
- "Principles of Modern Solid State Physics" J. Sólyom (to be published by Springer)
- Duke U. WEB page on negative index of refraction
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This WEB page is maintaned by Laszlo
Mihaly.