Delocalization of Two-Dimensional Random Surfaces with Hard-Core Constraints

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models

N. David Mermin, Hermann‐Josef Wagner · Physical Review Letters · 1966 · 8K citations

Magnetism, Ferromagnetism, Engineering +15

Existence of Long-Range Order in One and Two Dimensions

P. C. Hohenberg · Physical Review · 1967 · 2.3K citations

Spectral Theory, Fermi Systems, Order Theory +11

Exact sampling with coupled Markov chains and applications to statistical mechanics

James Propp, David Bruce Wilson · Random Structures and Algorithms · 1996 · 1.1K citations

Markov Chains, Statistical Mechanics, Engineering +14

The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas

Jürg Fröhlich, Thomas Spencer · Communications in Mathematical Physics · 1981 · 417 citations

Quantum Science, Quantum Lattice System, Engineering +10

Contour lines of the two-dimensional discrete Gaussian free field

Oded Schramm, Scott Sheffield⋆ · Acta Mathematica · 2009 · 230 citations · Full text

Integral Geometry, Spectral Theory, Discrete Geometry +9