Superfluidity, superconductivity and magnetism in mesoscopics

The nature of superfluid, superconducting, and magnetic ordering is elucidated for mesoscopic systems in which the single-particle level spacing is much larger than both the temperature and the critical temperature of ordering. Ordering is defined as a spontaneous violation of symmetry, the gauge invariance and time reversal being by definition symmetries violated in superfluidity (superconductivity) and magnetism contexts, respectively. Superfluidity and superconductivity are realized in thermodynamic equilibrium states with a non-integral average number of particles and are accompanied by the spontaneous violation of time homogeneity. In Fermi systems two types of superfluidity and superconductivity are possible which are characterized by the presence of pair or single-particle ’condensates’. The latter is remarkable in that spontaneous violation of fundamental symmetries such as spatial 2π rotation and double time reversal takes place. Possible experiments on metallic nanoparticles and ultracold atomic gases in magnetic traps are discussed.

PACS: 11.30.−j, 73.23.−b, 74.25.−q, 75.45.+j (all)
DOI: 10.1070/PU1998v041n06ABEH000408
URL: https://ufn.ru/en/articles/1998/6/f/
Web of Science

000075347000006
Citation: Andreev A F "Superfluidity, superconductivity and magnetism in mesoscopics" Phys. Usp. 41 581–588 (1998)

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Оригинал: Андреев А Ф «Сверхтекучесть, сверхпроводимость и магнетизм в мезоскопике» УФН 168 655–664 (1998); DOI: 10.3367/UFNr.0168.199806f.0655

References (20) ↓ Cited by (20) Similar articles (4)

Landau L D Zh. Eksp. Teor. Fiz. 7 18 (1937); Sobranie Trudov Vol. 1 (Collected Works, Moscow: Nauka, 1969) [Translated into English (Pergamon, 1965)]
Ginzburg V L, Landau L D Zh. Eksp. Teor. Fiz. 20 1064 (1950); Landau L D Sobranie Trudov Vol. 2 (Collected Works, Moscow: Nauka, 1969) [Translated into English (Pergamon, 1965)]
Andreev A F Pis’ma Zh. Eksp. Teor. Fiz. 63 963 (1996) [JETP Lett. 63 1018 (1996)]
Andreev A F Pis’ma Zh. Eksp. Teor. Fiz. 64 618 (1996) [JETP Lett. 64 664 (1996)]
Anderson M H et al. Science 269 198 (1995)
Bradley C C et al. Phys. Rev. Lett. 75 1687 (1995)
Davis K B et al. Phys. Rev. Lett. 75 3969 (1995)
Mesoscopic Phenomena in Solids (Modern Problems in Condensed Matter Sciences, Vol. 30, Eds B L Altshuler, P A Lee, R A Webb, Amsterdam: North Holland, 1991)
Single Charge Tunneling: Coulomb Blockade Phenomena in Nanostructures (NATO ASI Series. Ser. B, Physics, Vol. 294, Eds H Grabert, M H Devoret, New York: Plenum Press, 1992)
Ralph D C, Black C T, Tinkham M Phys. Rev. Lett. 74 3241 (1995); 78 4087 (1997); Black C T, Ralph D C, Tinkham M Phys. Rev. Lett. 76 688 (1996)
Anderson P W J. Phys. Chem. Solids 11 26 (1959)
Andreev A F, Grishchuk I A Zh. Eksp. Teor. Fiz. 87 467 (1984) [Sov. Phys. JETP 60 267 (1984)]
Andreev A F, Marchenko V I Usp. Fiz. Nauk 130 39 (1980) [Sov. Phys. Usp. 23 21 (1980)]
Landau L D, Lifshitz E M Statisticheskaya Fizika Vol. 1 (Statistical Physics, Moscow: Nauka, 1976) [Translated into English (Oxford: Pergamon Press, 1980)]
Landau L D, Lifshitz E M Kvantovaya Mekhanika (Quantum Mechanics, Moscow: Nauka, 1989) [Translated into English (Oxford, New York: Pergamon Press, 1977)]
Matveev K A et al. Phys. Rev. Lett. 70 2940 (1993)
Badurek G, Rauch H, Summhammer J Physica B+C 151 82 (1988)
Wick G C, Wightman A S, Wigner E P Phys. Rev. 88 101 (1952)
Kulik I O, Omel’yanchuk A N Fiz. Nizk. Temp. 3 945 (1977) [Sov. J. Low Temp. Phys. 3 459 (1977)]; 4 296 (1978) [Sov. J. Low Temp. Phys. 4 142 (1978)]
Beenakker C W J, van Houten H Phys. Rev. Lett. 66 3056 (1991)