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Dislocations and melting in two dimensions: The critical region

Greif, Jeffrey M. and Goodstein, David L. and Silva-Moreira, Armando F. (1982) Dislocations and melting in two dimensions: The critical region. Physical Review B, 25 (11). pp. 6838-6846. ISSN 0163-1829. http://resolver.caltech.edu/CaltechAUTHORS:GREprb82

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Abstract

A new analysis is presented of the critical-point behavior of two-dimensional melting in the Kosterlitz-Thouless-Nelson-Halperin-Young theory. The analysis confirms the Kosterlitz-Thouless-Nelson-Halperin-Young critical-point exponent, ν̅=0.36963…, but also gives a criterion for its own range of validity amounting to t<<10^-3, where t is the reduced temperature. Both results are confirmed by direct numerical computation, and it is shown that the corresponding range of correlation lengths is ξ+>>10^13 lattice spacings. The implications of these results for experimental verification are discussed.


Item Type:Article
Additional Information:©1982 The American Physical Society Received 14 December 1981 This work was supported by the Brazilian National Research Council (CNPq), DOE Grant No. DE-AM03-768F00767, and Cooperative NSF Grant Brazil U.S. No. INT8023690. See also -- Comment: John L. Cardy, Comment on "Dislocations and melting in two dimensions: The critical region", Phys. Rev. B 26, 6311 (1982).
Record Number:CaltechAUTHORS:GREprb82
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GREprb82
Alternative URL:http://dx.doi.org/10.1103/PhysRevB.25.6838
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5972
Collection:CaltechAUTHORS
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Deposited On:10 Nov 2006
Last Modified:26 Dec 2012 09:16

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