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Fermi-liquid theory

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Summary

A low-energy description of interacting fermions whose excitations near the Fermi surface are long-lived quasiparticles continuously connected to those of a free Fermi gas. Non-Fermi liquids lie outside this framework.

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Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Effective field theoryFermi-liquid theory

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Fermi-liquid theory is an effective low-energy framework for interacting fermions near a stable Fermi surface, organized around quasiparticles and symmetry-allowed residual interactions. Systems without long-lived quasiparticles do not lie in this specialization.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Electronic condensed-matter systemFermi-liquid theory

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

For interacting fermionic phases adiabatically connected to a Fermi gas, high-energy details are encoded in quasiparticle parameters and residual interactions near the Fermi surface. Non-Fermi-liquid phases are excluded.

How to interpret this relation type

The target retains the degrees of freedom and interactions relevant below a stated scale or within a stated regime, while higher-energy or unresolved degrees of freedom from the source are integrated out, coarse-grained, or encoded in effective couplings.

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Fermi-liquid theoryQuasiparticle

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Fermi-liquid theory describes low-energy excitations near the Fermi surface as quasiparticles whose decay rate vanishes sufficiently rapidly toward the chemical potential.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources