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Oda T, Hieda M. Temperature-dependent pinning or depinning of a 3He overlayer in a 3He-4He mixture film. PHYSICAL REVIEW LETTERS 2013; 111:106101. [PMID: 25166682 DOI: 10.1103/physrevlett.111.106101] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/19/2013] [Revised: 06/05/2013] [Indexed: 06/03/2023]
Abstract
We report the results of a quartz crystal microbalance experiment at 100 MHz for a 3He-4He mixture film on a planar gold substrate. The results reveal temperature-dependent pinning or depinning of 3He overlayers above a critical oscillation velocity and indicate that the appearance of a macroscopic condensed state in the underlying 4He layer possibly affects the interfacial friction.
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Affiliation(s)
- Takuya Oda
- Department of Physics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan
| | - Mitsunori Hieda
- Department of Physics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan
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2
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Kuratsuji H. Stochastic theory of quantum vortex on a sphere. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:031150. [PMID: 22587081 DOI: 10.1103/physreve.85.031150] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/01/2011] [Revised: 12/28/2011] [Indexed: 05/31/2023]
Abstract
A stochastic theory is presented for a quantum vortex in superfluid films coated on a two-dimensional sphere S^{2}. The starting point is the canonical equation of motion (Kirchhoff equation) for a point vortex, which is derived using the time-dependent Landau-Ginzburg theory. The vortex equation, which is equivalent to the spin equation, turns out to be the Langevin equation in presence of random forces. This is converted to the Fokker-Planck (FP) equation for the distribution function of a point vortex by using a functional integral technique. The FP equation is analyzed with special emphasis on the role of the pinning potential. By considering a typical form of the pinning potential, we address two problems: (i) The one is concerning an interplay between strength of the pinning potential and effective temperature, which discriminates the weak and strong coupling scheme to determine the solutions of the FP equation. (ii) The other is concerning a small diffusion limit, for which an asymptotic analysis is given using the functional integral to lead a compact expression of the distribution function. An extension to the vortex in nonspherical geometry is briefly discussed for the case of vortex on a plane and a pseudosphere.
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Affiliation(s)
- Hiroshi Kuratsuji
- Research Organization of Science and Engineering, Ritsumeikan University-BKC, Kusatsu City, Japan
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Yucesoy B, Machta J, Prokof'ev N, Svistunov B. Comment on "Finite-size Berezinskii-Kosterlitz-thouless transition at grain boundaries in solid 4He and the role of 3He impurities". PHYSICAL REVIEW LETTERS 2010; 104:049601-049602. [PMID: 20366747 DOI: 10.1103/physrevlett.104.049601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/12/2009] [Indexed: 05/29/2023]
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4
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Gaudio S, Cappelluti E, Rastelli G, Pietronero L. Finite-size Berezinskii-Kosterlitz-Thouless transition at grain boundaries in solid 4He and the role of 3He impurities. PHYSICAL REVIEW LETTERS 2008; 101:075301. [PMID: 18764549 DOI: 10.1103/physrevlett.101.075301] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/28/2008] [Indexed: 05/26/2023]
Abstract
We analyze the complex phenomenology of the nonclassical rotational inertia (NCRI) observed at low temperature in solid 4He within the context of a two-dimensional Berezinskii-Kosterlitz-Thouless transition in a premelted 4He film at the grain boundaries. We show that both the temperature and 3He doping dependence of the NCRI fraction (NCRIF) can be ascribed to finite size effects induced by the finite grain size. We give an estimate of the average size of the grains which we argue to be limited by the isotopic 3He impurities and we provide a simple power-law relation between the NCRIF and the 3He concentration.
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Affiliation(s)
- Sergio Gaudio
- Dipartimento di Fisica, Università La Sapienza, P.le A. Moro 2, 00185 Rome, Italy
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5
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Williams GA. Vortex fluctuations in the critical Casimir effect of superfluid and superconducting films. PHYSICAL REVIEW LETTERS 2004; 92:197003. [PMID: 15169438 DOI: 10.1103/physrevlett.92.197003] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/25/2003] [Indexed: 05/24/2023]
Abstract
Vortex-loop renormalization techniques are used to calculate the magnitude of the critical Casimir forces in superfluid films. The force is found to become appreciable when the size of the thermal vortex loops is comparable to the film thickness, and the results for T<T(c) are found to match very well with perturbative renormalization theories that have been carried out only for T>T(c). When applied to a high-T(c) superconducting film connected to a bulk sample, the Casimir force causes a voltage difference to appear between the film and the bulk, and estimates show that this may be readily measurable.
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Affiliation(s)
- Gary A Williams
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA
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Crowell PA, Reppy JD. Superfluidity and film structure in 4He adsorbed on graphite. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:2701-2718. [PMID: 9983780 DOI: 10.1103/physrevb.53.2701] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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7
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Cho H, Williams GA. Vortex Core Size in Submonolayer Superfluid 4He Films. PHYSICAL REVIEW LETTERS 1995; 75:1562-1565. [PMID: 10060329 DOI: 10.1103/physrevlett.75.1562] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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8
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Crowell PA, Reppy JD, Mukherjee S, Ma J, Chan MH, Schaefer DW. Critical behavior of superfluid 4He films adsorbed in aerogel glass. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:12721-12736. [PMID: 9978046 DOI: 10.1103/physrevb.51.12721] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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9
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Burkhart S, Bernard M, Avenel O, Varoquaux E. Scenario for a quantum phase slip in superfluid 4He. PHYSICAL REVIEW LETTERS 1994; 72:380-383. [PMID: 10056416 DOI: 10.1103/physrevlett.72.380] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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10
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Steele LM, Yeager CJ, Finotello D. Precision specific-heat studies of thin superfluid films. PHYSICAL REVIEW LETTERS 1993; 71:3673-3676. [PMID: 10055043 DOI: 10.1103/physrevlett.71.3673] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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11
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Pollock EL, Runge KJ. Finite-size-scaling analysis of a simulation of the 4He superfluid transition. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:3535-3539. [PMID: 10004071 DOI: 10.1103/physrevb.46.3535] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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12
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Williams GA. Vortex rings and finite-wave-number superfluidity near the 4He lambda transition. PHYSICAL REVIEW LETTERS 1992; 68:2054-2057. [PMID: 10045292 DOI: 10.1103/physrevlett.68.2054] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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13
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Chapter 1: Critical Behavior and Scaling of Confined 4He. ACTA ACUST UNITED AC 1992. [DOI: 10.1016/s0079-6417(08)60050-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/31/2023]
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14
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Bernard M, Williams GA. Surface and bulk tortuosity of porous ceramics near the percolation threshold. PHYSICAL REVIEW LETTERS 1991; 67:2585-2588. [PMID: 10044463 DOI: 10.1103/physrevlett.67.2585] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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15
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Vortices and the Superfluid 4He Phase Transition in Two and Three Dimensions. ACTA ACUST UNITED AC 1991. [DOI: 10.1007/978-1-4684-5937-1_30] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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16
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Shirahama K, Kubota M, Ogawa S, Wada N, Watanabe T. Size-dependent Kosterlitz-Thouless superfluid transition in thin 4He films adsorbed on porous glasses. PHYSICAL REVIEW LETTERS 1990; 64:1541-1544. [PMID: 10041424 DOI: 10.1103/physrevlett.64.1541] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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17
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Williams GA. Comment on "Disorder and the superfluid transition in liquid 4He". PHYSICAL REVIEW LETTERS 1990; 64:978. [PMID: 10042129 DOI: 10.1103/physrevlett.64.978] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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18
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Agnolet G, McQueeney DF, Reppy JD. Kosterlitz-Thouless transition in helium films. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:8934-8958. [PMID: 9947620 DOI: 10.1103/physrevb.39.8934] [Citation(s) in RCA: 60] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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19
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Yu YY, Finotello D, Gasparini FM. Finite-size scaling and the convective conductance and specific heat of planar helium films near the superfluid transition. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:6519-6526. [PMID: 9947290 DOI: 10.1103/physrevb.39.6519] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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20
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Gallet F, Williams GA. Superfluid transition of 4He films adsorbed on multiply connected surfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:4673-4676. [PMID: 9948823 DOI: 10.1103/physrevb.39.4673] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ceperley DM, Pollock EL. Path-integral simulation of the superfluid transition in two-dimensional 4He. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:2084-2093. [PMID: 9948441 DOI: 10.1103/physrevb.39.2084] [Citation(s) in RCA: 75] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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22
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Mulders N, Beamish JR. Frequency dependence of the superfluid transition in 4He films on porous vycor glass. PHYSICAL REVIEW LETTERS 1989; 62:438-441. [PMID: 10040233 DOI: 10.1103/physrevlett.62.438] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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23
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24
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Godshalk KM, Hallock RB. Adsorption and desorption studies of 4He on Nuclepore by capacitance techniques. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:8294-8301. [PMID: 9942641 DOI: 10.1103/physrevb.36.8294] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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25
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Williams GA. Vortex-ring model of the superfluid lambda transition. PHYSICAL REVIEW LETTERS 1987; 59:1926-1929. [PMID: 10035370 DOI: 10.1103/physrevlett.59.1926] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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26
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Smith DT, Godshalk KM, Hallock RB. Adsorption and capillary condensation of 4He on Nuclepore: Third-sound and capacitance measurements. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:202-216. [PMID: 9942038 DOI: 10.1103/physrevb.36.202] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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27
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Weichman PB, Fisher ME. Helium in Vycor, constrained randomness, and the Harris criterion. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:7652-7665. [PMID: 9939445 DOI: 10.1103/physrevb.34.7652] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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28
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Ma M, Halperin BI, Lee PA. Strongly disordered superfluids: Quantum fluctuations and critical behavior. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 34:3136-3143. [PMID: 9940047 DOI: 10.1103/physrevb.34.3136] [Citation(s) in RCA: 89] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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