Four-dimensional XY quantum critical behavior of 4He in nanoporous media

Thomas Eggel, Masaki Oshikawa, Keiya Shirahama

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


The superfluid transition in liquid He4 filled in Gelsil glass observed in recent experiments is discussed in the framework of quantum critical phenomena. We show that quantum fluctuations of phase are indeed important in the experimentally studied temperature range owing to the small pore size of Gelsil, in contrast to He4 filled in previously studied porous media such as Vycor glass. As a consequence of an effective particle-hole symmetry, the quantum critical phenomena of the system are described by the four-dimensional XY universality class, except in the immediate vicinity of the quantum critical point, and the resulting simple scaling agrees with the experimental data remarkably well.

Original languageEnglish
Article number020515
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number2
Publication statusPublished - 2011 Jul 29

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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