Ordering in Two Dimensions

THE ADSORPTION OF GASES ON PLANE SURFACES OF GLASS, MICA AND PLATINUM.

1918 • 20,900 citations

Theory of Dislocations

1968 • 9,798 citations

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

1966 • 7,497 citations

Theory of dynamic critical phenomena

1977 • 6,393 citations

Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

1944 • 6,099 citations

Existence of Long-Range Order in One and Two Dimensions

1967 • 2,220 citations

Experiments on simple magnetic model systems

1974 • 2,121 citations

Structure of a quantized vortex in boson systems

1961 • 2,119 citations

Some generalized order-disorder transformations

1952 • 2,022 citations

Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model

1977 • 1,841 citations

Theory of Two-Dimensional Melting

1978 • 1,835 citations

Phase transitions and critical phenomena

1975 • 1,798 citations

Melting and the vector Coulomb gas in two dimensions

1979 • 1,421 citations

Universal Jump in the Superfluid Density of Two-Dimensional Superfluids

1977 • 1,266 citations

Crystalline Order in Two Dimensions

1968 • 1,263 citations

Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields

1975 • 1,033 citations

Evidence for a Liquid-to-Crystal Phase Transition in a Classical, Two-Dimensional Sheet of Electrons

1979 • 1,018 citations

The Spherical Model of a Ferromagnet

1952 • 989 citations

Theory of one- and two-dimensional magnets with an easy magnetization plane. II. The planar, classical, two-dimensional magnet

1975 • 719 citations

Study of the Superfluid Transition in Two-Dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films

1978 • 619 citations

Possibility of Vortex-Antivortex Pair Dissociation in Two-Dimensional Superconductors

1979 • 552 citations

Spherical Model as the Limit of Infinite Spin Dimensionality

1968 • 547 citations

Phase Transition on Mo(100) and W(100) Surfaces

1977 • 440 citations

Phase transition in the two-dimensional Coulomb gas, and the interfacial roughening transition

1976 • 404 citations

Renormalization of the Nonlinear<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>Model in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mi>ε</mml:mi></mml:math>Dimensions—Application to the Heisenberg Ferromagnets

1976 • 393 citations

Microscopic theory of superfluid helium

1965 • 343 citations

Relation between the superfluid density and order parameter for superfluid He near Tc

1966 • 340 citations

Space-Group Determination of the Low-Temperature<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">W</mml:mi><mml:mn /><mml:mo>{</mml:mo><mml:mn>001</mml:mn><mml:mo>}</mml:mo><mml:mo>(</mml:mo><mml:mrow><mml:msqrt><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msqrt></mml:mrow><mml:mrow><mml:mrow><mml:mrow /></mml:mrow></mml:mrow><mml:mo>×</mml:mo><mml:mrow><mml:msqrt><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msqrt></mml:mrow><mml:mrow><mml:…

1977 • 310 citations

Dissipation in Two-Dimensional Superfluids

1978 • 294 citations

Absence of Ordering in Certain Classical Systems

1967 • 289 citations

Renormalization-group treatment of a Potts lattice gas for krypton adsorbed onto graphite

1978 • 269 citations

Topological Excitations in Two-Dimensional Superconductors

1979 • 243 citations

The stability and structure of high miller index platinum crystal surfaces in vacuum and in the presence of adsorbed carbon and oxygen

1977 • 243 citations

Phonon-Ripplon Coupling and the Two-Dimensional Electron Solid on a Liquid-Helium Surface

1979 • 226 citations

Adsorption de molécules simples sur graphite

1969 • 206 citations

Lattice gas transition of He on Grafoil. A continuous transition with cubic terms

1975 • 196 citations

Critical Surface Density of the Superfluid Component in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films

1978 • 190 citations

Superfluidity and phase separation in helium films

1979 • 187 citations

Study of melting in two dimensions

1978 • 186 citations

A LEED study of structures produced by H2 on (100) W

1971 • 185 citations

Neutron scattering study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Ar</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>36</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>monolayer films adsorbed on graphite

1977 • 175 citations

Structural models of the reconstructed W{001} surface

1978 • 174 citations

Third Sound and the Healing Length of He II in Films as Thin as 2.1 Atomic Layers

1974 • 166 citations

Infinite Susceptibility Without Long-Range Order: The Two-Dimensional Harmonic "Solid"

1967 • 163 citations

Multicritical behavior at the kosterlitz-thouless critical point

1979 • 161 citations

Low-density helium monolayers as two-dimensional imperfect gases: An analysis employing the second virial coefficient

1974 • 156 citations

N° 40. — Adsorption de molécules simples sur graphite

1970 • 140 citations

Exact Relation between the Solid-on-Solid Model and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>Model

1977 • 133 citations

Fluctuations and Physical Properties of the Two-Dimensional Crystal Lattice

1971 • 105 citations

Phases of neon monolayers adsorbed on basal plane graphite

1976 • 104 citations

Multicritical Phase Diagram of Gases Adsorbed on Graphite: Temperature Variation and Finite-Size Effects

1979 • 97 citations

Superfluid Transition of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films Adsorbed on Porous Vycor Glass

1977 • 96 citations

Magnetic and Structural Phases of Monolayer<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>on Graphite

1976 • 90 citations

Superfluid Fraction in Thin Helium Films

1973 • 85 citations

Bicritical points in 2 + ϵ dimensions

1976 • 85 citations

Temperature Dependence of the Superfluid Healing Length

1969 • 77 citations

Dissipation near the Critical Point of a Two-Dimensional Superfluid

1978 • 72 citations

Heat Capacity of Multilayer<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>on Graphite

1973 • 72 citations

Heat Capacities of Submonolayer<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Adsorbed on…

1970 • 69 citations

Phase transition without long-range order in two dimensions

1970 • 54 citations

Mass Transport of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Films Adsorbed on Graphite

1972 • 51 citations

Isotropic magnets in two dimensions

1975 • 51 citations

Precipitous Onset for Superfluidity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:…

1979 • 48 citations

Observation of lattice- and spin-dimensionality crossovers in the susceptibility of quasi 2-dimensional Heisenberg ferromagnets

1976 • 42 citations

The structure of the c(2 × 2) oxygen overlayer on the unreconstructed (110) surface of iridium

1978 • 40 citations

Stability of Persistent Currents in Unsaturated Superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films

1976 • 31 citations

Quasiequilibrium statistical mechanics of two-dimensional superfluids and the two-dimensional Coulomb gas

1978 • 21 citations

Experimental susceptibilities of quasi-two-dimensional Heisenberg ferromagnets, compared with high-temperature series expansion analyses

1976 • 8 citations

Is the onset of superfluidity connected to "connectivity"?

1974 • 4 citations