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Equilibrium shape of 4He crystals near critical surface directions

 a,  a, b
a Kapitza Institute of Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117334, Russian Federation
b National Research University Higher School of Economics, 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.

Text can be downloaded in Russian. English translation is available here.
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/
Citation: Andreev A F, Melnikovsky L A "Equilibrium shape of 4He crystals near critical surface directions" Phys. Usp. 61 1090–1093 (2018)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI Equilibrium shape of 4He crystals near critical surface directions
AU Andreev A F
FAU Andreev AF
AU Melnikovsky L A
FAU Melnikovsky LA
DP 10 Nov, 2018
TA Phys. Usp.
VI 61
IP 11
PG 1090-1093
RX 10.3367/UFNe.2017.12.038352
URL https://ufn.ru/en/articles/2018/11/g/
SO Phys. Usp. 2018 Nov 10;61(11):1090-1093

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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