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In this Lecture (added to the original course) on the basis of the paragraph 35 of the E. M. Lifshitz, L.P. Pitaevskii monograph Statistical PhysicsPhysicsstatistical physics. Part II. Theory of the Condensed StateCondensed mattercondensed matter theoryTheoryCondensed matter theory [1] and unpublished Lecture of Yu. Kagan in Leiden [2] we discuss the nature of superfluidity, the formation of the vortex–antivortex pairs, the jump in superfluid densityDensitysuperfluid densitySuperfluid density and the behavior of the important (phase) correlators in very thin (practically two-dimensional) helium films in the framework of the Berezinskii–Kosterlitz–Thouless (BKT) theory [3, 4]. We briefly consider also the Nozieres theory of the BKT-type roughening transition on the surfaces of He-4He-4 quantum crystalsCrystalquantum crystal.

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Lecture 5. Superfluidity of the Two-Dimensional Systems . Berezinskii–Kosterlitz–Thouless (BKT) Phase Transition

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  • 发表日期：

    2026年

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  • Maxim Kagan

摘要

In this Lecture (added to the original course) on the basis of the paragraph 35 of the E. M. Lifshitz, L.P. Pitaevskii monograph Statistical PhysicsPhysicsstatistical physics. Part II. Theory of the Condensed StateCondensed mattercondensed matter theoryTheoryCondensed matter theory [1] and unpublished Lecture of Yu. Kagan in Leiden [2] we discuss the nature of superfluidity, the formation of the vortex–antivortex pairs, the jump in superfluid densityDensitysuperfluid densitySuperfluid density and the behavior of the important (phase) correlators in very thin (practically two-dimensional) helium films in the framework of the Berezinskii–Kosterlitz–Thouless (BKT) theory [3, 4]. We briefly consider also the Nozieres theory of the BKT-type roughening transition on the surfaces of He-4He-4 quantum crystalsCrystalquantum crystal.