A Caltech Library Service

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. doi:10.1103/PhysRevB.25.6838.

PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


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
Related URLs:
URLURL TypeDescription
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).
Funding AgencyGrant Number
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNSPECIFIED
Department of Energy (DOE)DE-AM03-768F00767
Issue or Number:11
Record Number:CaltechAUTHORS:GREprb82
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5972
Deposited By: Archive Administrator
Deposited On:10 Nov 2006
Last Modified:08 Nov 2021 20:30

Repository Staff Only: item control page