Spontaneous Magnetization in the Two-Dimensional Ising Model

No abstract is available for this paper.

• Publication year

  2003

• Venue

  Theoretical and Mathematical Physics

• Publication date

  2003-09-01

• Fields of study

  Physics

• Identifiers
  DOI 10.1023/A:1025651332465
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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  1973influential reference
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