Electrodynamics of correlated electron systems
arXiv:0908.1126
Abstract
Physical and chemical systems can be characterized by their natural frequency and energy scales. It is hardly an exaggeration that most of what we know about such systems, from the acoustics of a violin to the energy levels of atoms, comes from their response to perturbations at these natural frequencies. It is of course the same situation in `correlated' electron materials. We can learn about the novel effects of strong electron-electron interactions and the properties of collective states of matter (superconductors, quantum magnets etc.) by characterizing their response to small amplitude perturbations at their natural frequencies. In solids, these natural frequency scales span an impressively large frequency range from x-ray down to DC. This incredibly broad range means that a blizzard of experimental techniques and analysis methods are required for the characterization of correlated systems with optical techniques. This short review and lecture notes attempt to lay out a brief summary of the formalism, techniques, and analysis used for `optical' spectroscopies of correlated electron systems. They are idiosyncratic, occasionally opinionated, and - considering the breadth of the subject - incredibly brief.
39 pages, 48 figures, Based on lectures first given at the "2008 Boulder School for Condensed Matter and Materials Physics"; substantially revised and added to for the 2018 QS3 Summer School @ Cornell University and Princeton Summer School on Condensed Matter Physics; revised and added to 2025 for "2025 Boulder School for Condensed Matter and Materials Physics" and class notes
References in corpus (13)
- Kramers-Kronig constrained variational analysis of optical spectra
- Inelastic Light Scattering From Correlated Electrons
- Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
- On the Doping and Temperature Dependence of the Mass Enhancement Observed in the Cuprate Bi2212
- High-transition-temperature superconductivity in the absence of the magnetic-resonance mode
- Kinks in the dispersion of strongly correlated electrons
- Charge carrier interaction with a purely electronic collective mode: Plasmarons and the infrared response of elemental bismuth
- Survival of the d-wave superconducting state near the edge of antiferromagnetism in the cuprate phase diagram
- Bolometric technique for high-resolution broadband microwave spectroscopy of ultra-low-loss samples
- Electrodynamics of a Coulomb Glass in n-type Silicon
- Kinks and Mid-Infrared Optical Conductivity from Strong Electron Correlation
- Sum rule analysis of Umklapp processes and Coulomb energy: application to cuprate superconductivity
- Sum rule for the optical scattering rates