Nonrealistic behavior of mean-field spin glasses

Charles Newman, D. L. Stein

Research output: Contribution to journalArticle

Abstract

The Sherrington-Kirkpatrick (SK) spin glass is believed to obey the Parisi replica symmetry breaking (RSB) solution, traditionally interpreted in terms of infinitely many "pure states" and their overlaps. Since pure states-and their zero-temperature counterparts, ground state-are infinite-volume objects, there is ambiguity in the interpretation of these results and in their relevance for realistic models such as the Edwards-Anderson model (EA). This paper gives a striking example of the disconnect between short- and infinite-ranged models which shows the dangers in transporting notions in either direction.

Original languageEnglish (US)
JournalPhysical Review Letters
Volume91
Issue number19
StatePublished - Nov 7 2003

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spin glass
replicas
ambiguity
hazards
broken symmetry
ground state
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Nonrealistic behavior of mean-field spin glasses. / Newman, Charles; Stein, D. L.

In: Physical Review Letters, Vol. 91, No. 19, 07.11.2003.

Research output: Contribution to journalArticle

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