📜 Theorem, law or theory

Mermin–Wagner theorem

Teorema de Mermin-Wagner

Date
1966 · confidence low
Place
Ithaca, New York, United States
Credited to
Herbert Wagner y Nathaniel David Mermin
Field
Cosmos & Earth

What was discovered

Theorem proving the impossibility of spontaneous breaking of continuous symmetries at finite temperature in systems with short-range interactions in dimensions d≤2; explains the absence of long-range magnetic order in thin layers.

What it led to

  • Understanding of phase transitions in low-dimensional systems
  • The Berezinskii–Kosterlitz–Thouless transition
  • Physics of two-dimensional materials
  • Study of thin-film superconductors

Links

Sources✓ verified 2026-09-28