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Morgenstern, Ingo

Explanation of the freezing temperature in spin glasses

Morgenstern, Ingo (1982) Explanation of the freezing temperature in spin glasses. Journal of Applied Physics 53 (11), pp. 7682-7683.

Date of publication of this fulltext: 16 Aug 2010 12:31
Article
DOI to cite this document: 10.5283/epub.16164


Abstract

The freezing of spins in the two‐dimensional ±J‐model [1,2] (anti‐ and ferromagnetic nearest neighbour bonds between Ising spins) is investigated for the case of a one‐spin‐flip‐dynamic (as used in Monte‐Carlo calculations). The phenomenon is caused by the existence of finite energy barriers between the different ground‐state valleys. The barrier heights are calculated by a numerical method ...

The freezing of spins in the two‐dimensional ±J‐model [1,2] (anti‐ and ferromagnetic nearest neighbour bonds between Ising spins) is investigated for the case of a one‐spin‐flip‐dynamic (as used in Monte‐Carlo calculations). The phenomenon is caused by the existence of finite energy barriers between the different ground‐state valleys. The barrier heights are calculated by a numerical method turning one ground state to its inverse. The freezing temperature is determined by the vanishing of the free energy barriers between the valleys. The corresponding entropy is calculated by the Transfermatrix‐Method. The free energy barriers vanish at Tf≂1.3±0.1 in good agreement with the cusp of the susceptibility in Monte‐Carlo calculations. The long‐time behaviour of spin glasses is governed by the mentioned free energy barriers.



Involved Institutions


Details

Item typeArticle
Journal or Publication TitleJournal of Applied Physics
Publisher:American Institute of Physics
Volume:53
Number of Issue or Book Chapter:11
Page Range:pp. 7682-7683
Date1982
InstitutionsPhysics > Institute of Theroretical Physics > Professor Morgenstern
Identification Number
ValueType
10.1063/1.330181DOI
Related URLs
URLURL Type
http://link.aip.org/link/JAPIAU/v53/i11/p7682/s1Publisher
Classification
NotationType
75.10.-b; 75.50.Kj; 75.30.-mPACS
Keywordsspin glass state, ising model, magnetic−phase transformations, melting points, antiferromagnetism, ferromagnetism, monte carlo method, ground states, entropy, transfer matrix method, free energy
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedUnknown
Created at the University of RegensburgUnknown
Item ID16164

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