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Scientific paper - Original scientific paper
Landau model for uniaxial systems with complex order parameter
Physical review B: Condensed matter and materials physics, 58 (1998), 17; 11273-11284. https://doi.org/10.1103/PhysRevB.58.11273
Latković, M.; Bjeliš, Aleksa

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Latković, M. & Bjeliš, A. (1998). Landau model for uniaxial systems with complex order parameter. Physical review B: Condensed matter and materials physics, 58. (17), 11273-11284. doi: 10.1103/PhysRevB.58.11273

Latković, M. and Aleksa Bjeliš. "Landau model for uniaxial systems with complex order parameter." Physical review B: Condensed matter and materials physics, vol. 58, no. 17, 1998, pp. 11273-11284. https://doi.org/10.1103/PhysRevB.58.11273

Latković, M. and Aleksa Bjeliš. "Landau model for uniaxial systems with complex order parameter." Physical review B: Condensed matter and materials physics 58, no. 17 (1998): 11273-11284. https://doi.org/10.1103/PhysRevB.58.11273

Latković, M. and Bjeliš, A. (1998) 'Landau model for uniaxial systems with complex order parameter', Physical review B: Condensed matter and materials physics, 58(17), pp. 11273-11284. doi: 10.1103/PhysRevB.58.11273

Latković M, Bjeliš A. Landau model for uniaxial systems with complex order parameter. Physical review B: Condensed matter and materials physics [Internet]. 1998 [cited 2024 November 30];58(17):11273-11284. doi: 10.1103/PhysRevB.58.11273

M. Latković and A. Bjeliš, "Landau model for uniaxial systems with complex order parameter", Physical review B: Condensed matter and materials physics, vol. 58, no. 17, pp. 11273-11284, 1998. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:631913. [Accessed: 30 November 2024]

Metadata
Title (english)Landau model for uniaxial systems with complex order parameter
AuthorM. Latković
AuthorAleksa Bjeliš
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
We study the Landau model for uniaxial incommensurate-commensurate systems of class I by keeping umklapp terms of third and fourth order in the expansion of the free energy. It applies to systems in which the soft-mode minimum lies between the corresponding commensurate wave numbers. The minimization of the Landau functional leads to the sine-Gordon equation with two nonlinear terms, equivalent to the equation of motion for the well-known classical mechanical problem of two mixing resonances. We calculate the average free energies for periodic, quasiperiodic, and chaotic solutions of this equation, and show that in the regime of finite strengths of umklapp terms only periodic solutions are absolute minima of the free energy, so that the phase diagram contains only commensurate configurations. The phase transitions between neighboring configurations are of the first order, and the wave number of ordering goes through a harmless staircase with a finite number of steps. These results are the basis for the interpretation of phase diagrams for some materials from class I of incommensurate-commensurate systems, in particular of those for A2BX4 and betaine-calciumchloride-dihydrate compounds. Also, we argue that chaotic barriers which separate metastable periodic solutions represent an intrinsic mechanism for observed memory effects and thermal hystereses.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical review B: Condensed matter and materials physics
Numberingvol. 58, no. 17, pp. 11273-11284
p-ISSN1098-0121
e-ISSN1550-235X
DOIhttps://doi.org/10.1103/PhysRevB.58.11273
URN:NBNurn:nbn:hr:217:631913
Publication1998
Document URLhttp://link.aps.org/doi/10.1103/PhysRevB.58.11273
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public noteCopyright (1998) by the American Physical Society.
Created on2019-10-06 20:27:10