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Exotic examples of physics that happen in the presence of Fermi surface?

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We know that metal, the metallic phase, in the nearly non-interacting (free) electron systems, we can fill the electron in the low energy low momentum space, and there will be a presence of Fermi surface with finite number of electrons (called finite electron density).

=**Interactions**=

However, more fun things can happen if we **turn on some interactions** between the electrons, for example through: (1) Phonon (lattice vibration), (2) photon (through E&M), (3) emergent photon (through exotic behavior of condensed matter system), (3) Yukawa interactions through Higgs-like particles (such as polaron), (4) magenetic/spin excitations (magnons, etc), and so on.

=**Gapped or gapless**=

Moreover, we can ask whether the excited quasi-electron (quasi-particle) from the Fermi surface is:

**gapped or gapless.** Also whether the mediated gauge fields are **gapped or gapless.**

In short, there are many-possibilities!

Questions: What are some exotic examples of physics that happen in the presence of Fermi surface? How the Fermi surface plays any important role here?

asked Nov 2, 2016 in Theoretical Physics by RKKY (325 points) [ no revision ]

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