Abstract
Materials with strong electron-electron correlations are of particular importance in the study of condensed matter physics as it is here where conventional theories are often seen to be violated and exotic phases such as superconductivity and magnetism emerge.
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Notes
- 1.
In the presence of a crystal lattice one cannot strictly expand in terms of these spherical harmonics anymore but this has become the convention for the naming scheme so I stick with it here.
- 2.
When counting the number of VHs’s language complications can lead to some confusion. The M points at the edge of the zone are shared with the adjacent zones so strictly speaking this means there are a total of two equivalent Van Hove points per tetragonal zone which would become two non-equivalent points if the lattice was distorted orthorhombically.
- 3.
BCS estimates are expected to be accurate for a single band metal with a small gap but in a multiband system like \({\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4}\) these estimates refer only to the average gap which can already be a big approximation when, like in \({\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4}\), there are large changes around the Fermi surface. This analysis also completely overlooks the potential for interband coupling, so it should only be taken as a guide.
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Barber, M.E. (2018). The Physics of \({\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4}\) Approaching a Van Hove Singularity. In: Uniaxial Stress Technique and Investigations of Correlated Electron Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-93973-5_3
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