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Equilibrium shape of 4He crystals near critical surface directions

 a,  a, b
a P.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation
b HSE University, ul. Myasnitskaya 20, Moscow, 101000, Russian Federation

Conditions for applicability of mean field theory to the thermodynamics of the 4He crystal surface are determined. Although the faceting transition itself is of Berezinsky—Kosterlitz—Thouless type, the thermodynamic potential outside a narrow neighborhood of the transition temperature can be expanded in the spirit of the Landau theory of second-order phase transitions. The Ginzburg—Levanyuk parameter is estimated. The singular behavior of the surface stiffness near critical directions observed for essentially non-critical temperatures is explained.

Fulltext pdf (453 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2017.12.038352
Keywords: quantum crystals, phase transitions, surface phenomena, Berezinsky—Kosterlitz—Thouless transitions
PACS: 05.70.Np, 67.80.−s, 68.35.−p, 68.35.Rh (all)
DOI: 10.3367/UFNe.2017.12.038352
URL: https://ufn.ru/en/articles/2018/11/g/
https://youtu.be/yg_LTHv8xB0
https://rutube.ru/video/d3066b2079f691d527ac74f81183e77b/
000457154900007
2-s2.0-85062301877
2018PhyU...61.1090A
Citation: Andreev A F, Melnikovsky L A "Equilibrium shape of 4He crystals near critical surface directions" Phys. Usp. 61 1090–1093 (2018)
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Received: 30th, March 2018, 13th, December 2017

Оригинал: Андреев А Ф, Мельниковский Л А «Равновесная форма поверхности кристаллов 4He вблизи критических ориентаций» УФН 188 1199–1202 (2018); DOI: 10.3367/UFNr.2017.12.038352

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