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 |
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| 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 |
| Deposited By: | Archive Administrator |
| Deposited On: | 10 Nov 2006 |
| Last Modified: | 26 Dec 2012 09:16 |
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