Fermi Liquids and the Luttinger Integral
| Autor: | Alex C. Hewson, Daniel J. G. Crow, Y. Nishikawa, O. J. Curtin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Condensed Matter::Quantum Gases Electron density Condensed matter physics Strongly Correlated Electrons (cond-mat.str-el) Scattering General Physics and Astronomy FOS: Physical sciences Fermi surface 02 engineering and technology Electron 021001 nanoscience & nanotechnology Condensed Matter::Mesoscopic Systems and Quantum Hall Effect 01 natural sciences Condensed Matter - Strongly Correlated Electrons 0103 physical sciences Condensed Matter::Strongly Correlated Electrons Sum rule in quantum mechanics Fermi liquid theory 010306 general physics 0210 nano-technology Quantum Fermi Gamma-ray Space Telescope |
| Popis: | The Luttinger Theorem, which relates the electron density to the volume of the Fermi surface in an itinerant electron system, is taken to be one of the essential features of a Fermi liquid. The microscopic derivation of this result depends on the vanishing of a certain integral, the Luttinger integral $I_{\rm L}$, which is also the basis of the Friedel sum rule for impurity models, relating the impurity occupation number to the scattering phase shift of the conduction electrons. It is known that non-zero values of $I_{\rm L}$ with $I_{\rm L}=\pm\pi/2$, occur in impurity models in phases with non-analytic low energy scattering, classified as singular Fermi liquids. Here we show the same values, $I_{\rm L}=\pm\pi/2$, occur in an impurity model in phases with regular low energy Fermi liquid behavior. Consequently the Luttinger integral can be taken to characterize these phases, and the quantum critical points separating them interpreted as topological. Comment: 5 pages 7 figures |
| Databáze: | OpenAIRE |
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