Dislocations and the commensurate-incommensurate transition in two dimensions

by: SN Coppersmith, Daniel S Fisher, BI Halperin, PA Lee, WF Brinkman

Physical Review B, Vol. 25, No. 1. (1 January 1982), 349.

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Abstract

The stability of weakly incommensurate two-dimensional solid phases described by periodic arrays of discommensurations has been investigated. It is shown that incommensurate phases consisting of a small number of possible commensurate domains of either the striped or honeycomb type are unstable with respect to the spontaneous creation of dislocations. Such phases are consequently "liquids;" with exponential decay of correlations. The consequences of these results on the phase diagram of overlayers and the relation with experiment is discussed.

@article{citeulike:2270864, abstract = {The stability of weakly incommensurate two-dimensional solid phases described by periodic arrays of discommensurations has been investigated. It is shown that incommensurate phases consisting of a small number of possible commensurate domains of either the striped or honeycomb type are unstable with respect to the spontaneous creation of dislocations. Such phases are consequently "liquids;" with exponential decay of correlations. The consequences of these results on the phase diagram of overlayers and the relation with experiment is discussed.}, author = {Coppersmith, S. N. and Fisher, Daniel S. and Halperin, B. I. and Lee, P. A. and Brinkman, W. F. }, citeulike-article-id = {2270864}, doi = {10.1103/PhysRevB.25.349}, journal = {Physical Review B}, keywords = {cdw}, month = {January}, number = {1}, pages = {349+}, posted-at = {2008-01-22 01:17:12}, priority = {2}, publisher = {American Physical Society}, title = {Dislocations and the commensurate-incommensurate transition in two dimensions}, url = {http://dx.doi.org/10.1103/PhysRevB.25.349}, volume = {25}, year = {1982} }

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TY - JOUR ID - citeulike:2270864 L3 - citeulike-article-id:2270864 TI - Dislocations and the commensurate-incommensurate transition in two dimensions JF - Physical Review B VL - 25 IS - 1 SP - 349 PB - American Physical Society N2 - The stability of weakly incommensurate two-dimensional solid phases described by periodic arrays of discommensurations has been investigated. It is shown that incommensurate phases consisting of a small number of possible commensurate domains of either the striped or honeycomb type are unstable with respect to the spontaneous creation of dislocations. Such phases are consequently "liquids;" with exponential decay of correlations. The consequences of these results on the phase diagram of overlayers and the relation with experiment is discussed. KW - cdw AU - Coppersmith, SN AU - Fisher, Daniel AU - Halperin, BI AU - Lee, PA AU - Brinkman, WF PY - 1982/01/01/ UR - http://dx.doi.org/10.1103/PhysRevB.25.349 ER -

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