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Mermin and Wagner: absence of magnetic order in low-dimensional isotropic Heisenberg models

Proved that the stated one- and two-dimensional isotropic finite-range Heisenberg models cannot sustain ferromagnetic or antiferromagnetic order at nonzero temperature.

What is recorded here?

Proved that the stated one- and two-dimensional isotropic finite-range Heisenberg models cannot sustain ferromagnetic or antiferromagnetic order at nonzero temperature.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is the exact two-author 1966 letter together with its published erratum boundary. The theorem depends on dimensionality, symmetry and interaction assumptions; it does not forbid all phase transitions or all order in low-dimensional systems.

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People and systems

N. D. Mermin; H. Wagner

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States, Germany

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English catalogue narrative

Mermin and Wagner: absence of magnetic order in low-dimensional isotropic Heisenberg models

Proved that the stated one- and two-dimensional isotropic finite-range Heisenberg models cannot sustain ferromagnetic or antiferromagnetic order at nonzero temperature.

Scientific scope

The record is the exact two-author 1966 letter together with its published erratum boundary. The theorem depends on dimensionality, symmetry and interaction assumptions; it does not forbid all phase transitions or all order in low-dimensional systems.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

N. D. Mermin; H. Wagner

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources