concept

quasiparticle

A quasiparticle is an emergent excitation in a many-body system that behaves like a particle with effective properties.
31 related articles · 1 formulas

Description

A quasiparticle is an elementary excitation of a condensed medium (solid, liquid) that possesses particle-like properties: energy, momentum, angular momentum, charge. Examples: phonons (sound quanta), magnons (spin waves), excitons (bound electron-hole pair). Quasiparticles do not exist outside the medium — they are a collective mode. Landau proposed the concept of a Fermi liquid, where fermions turn into weakly interacting quasiparticles with renormalized mass.

History

Lev Landau introduced the term in 1941 while constructing the theory of superfluidity of helium-II. In 1956, Landau generalized the idea to Fermi liquids. Independently, similar approaches were developed by Eugene Wigner for crystals. Experimental confirmation came through measurements of effective mass in metals by cyclotron resonance and neutron spectroscopy of phonons.

How it works

At low energies, the Hamiltonian of a many-particle system transforms into a sum of independent quasiparticle modes: H = Σ ε_k γ_k^† γ_k, where γ_k are creation/annihilation operators of quasiparticles with momentum k. The interaction of the original particles manifests in the renormalization of the spectrum ε_k and residual weak interaction between quasiparticles. In metals, the lifetime of an electronic quasiparticle grows as 1/T² as temperature decreases, and the energy obeys the Pauli principle: occupancy does not exceed 1.

In practice

Quasiparticles explain semiconductor conductivity and superconductivity: without the concept of holes — empty places that behave like positive particles — no transistor would work.

Fun fact

Without considering hole quasiparticles, it's impossible to understand how solar cells work: it's the movement of holes that creates the current.

Concept graph →

Formulas

$$E = \sqrt{(\epsilon - \mu)^2 + \Delta^2}$$
Energy of a quasiparticle in a superconductor with gap.
What is in the formula
Evariablequasiparticle energy — energy joule
εvariablesingle-particle energy relative to chemical potential — energy joule
μvariablechemical potential — chemical potential joule
Δvariablesuperconducting gap parameter — energy gap joule
\varepsilon_p=\frac{pq}{m}+\sqrt{(ε_p-e_f)^2+δ^2} · 2607.09468

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