Domain walls, fluctuations and the incommensurate-commensurate transition in two and three dimensions
- 1 January 1982
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 43 (4), 631-639
- https://doi.org/10.1051/jphys:01982004304063100
Abstract
A low temperature calculation for the incommensurate-commensurate transition in a system with a single axis of modulation is performed. The theory is formulated in terms of wall and phonon degrees of freedom. Phonons renormalize the domain wall interaction to larger values. By means of a simple self-consistent calculation scheme the square root law for the domain wall density in 2 dimensions is reproduced. For d = 3 the classical logarithmic law is found to be valid, in contrast to previous investigations of the author. The results can be interpolated by an exponent β= 3 - d / 2(d - 1) for 1 < d ≤ 3This publication has 8 references indexed in Scilit:
- Commensurate-Incommensurate Transitions in Two Dimensions: Discrete Models and Square Symmetric SubstratesPhysical Review Letters, 1981
- Soliton Density in Structurally Incommensurate SystemsPhysical Review Letters, 1981
- Dislocations and the Commensurate-Incommensurate Transition in Two DimensionsPhysical Review Letters, 1981
- Ground State Transition Strengths for the (p, t) Reaction, A=54 through A=82Journal of the Physics Society Japan, 1980
- On the Commensurate-Incommensurate Transition in a 2D Classical Sine-Gordon SystemJournal of the Physics Society Japan, 1980
- The influence of fluctuations on the incommensurate-commensurate transitionJournal de Physique, 1980
- Ground State, Spectrum, and Phase Diagram of Two-Dimensional Incommensurate CrystalsPhysical Review Letters, 1979
- Theory of the Structural Phase Transformations in Tetrathiafulvalene-Tetracyanoquinodimethane (TTF-TCNQ)Physical Review Letters, 1976