[1] S. Sachdev, Quantum Phase Transitions, Cambridge University Press (2011)
[2] S. L. Sondhi, S. M. Girvin, J. P. Carini, and D. Shahar, Continuous quantum phase transitions, Rev. Mod. Phys. 69, 315 (1997)
[3] B. Keimer, S. A. Kivelson, M. R. Norman, S. Uchida, and J. Zaanen, From quan- tummatter to high-temperature superconductivity in copper oxides, Nature 518, 179 (2015)
[4] P. Gegenwart, Q. Si and F. Steglich, Quantum criticality in heavy-fermion metals, Nature Physics 4, 186 (2008)
[5] P. A. Crowell, F. W. Van Keuls, and J. D. Reppy, Superfluid-Insulator Transition in 4He Films Adsorbed in Vycor Glass, Phys. Rev. Lett. 75, 1106 (1995)
[6] M. P. A. Fisher, P. B. Weichman, G. Grinstein and D. S. Fisher, Boson localization and the superfluid-insulator transition, Phys. Rev. B 40, 546 (1989)
[7] K. Yamamoto, H. Nakashima, Y. Shibayama, and K. Shirahama, Anomalous Sup- pression od Superfluidity in 4He Confined in a Nanoporous Glass, Phys. Rev. Lett. 93, 075302 (2004)
[8] J. Taniguchi, Y. Aoki, and M. Suzuki, Superfluidity of liquid 4He confined to one-dimensional straight nanochannel structures, Phys. Rev. B 82, 104509 (2010)
[9] A. D. Maestro, M. Boninsegni, and I. Affleck, 4He Luttinger Liquid in Nanopores, Phys. Rev. Lett. 106, 105303 (2011)
[10] T. Eggel, M. Oshikawa, and K. Shirahama, Four-dimensional XY quantum critical behavior of 4He in nanoporous media, Phys. Rev. B 84, 020515(R) (2011)
[11] T. Eggel, Effects of geometric confinement on strongly correlated superfluids, Thesis, University of Tokyo (2011)
[12] A. Dutta, G. Aeppli, B. K. Chakrabarti, U. Divakaran, T. F. Rosenbaum, D. Sen Quantum Phase Transition on Transverse Field Spin Models, Cambridge Univer- sity Press (2015)
[13] J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Theory of Superconductivity, Phys. Rev. 108, 1175 (1957)
[14] R. J. Donnelly and C. F. Barenghi, The Observed Properties of Liquid Helium at the Saturated Vapor Pressure, J. Phys. Chem. Ref. Data 27, 1217 (1998)
[15] F. London, Superfluids, Dover, New York (1964)
[16] R. J. Donnelly, J. A. Donnelly, R. H. Hills, Specific heat and dispersion curve for Hrlium II, J. Low Temp. Phys. 44, 471 (1981)
[17] P. W. Anderson, Consideration on the Flow of Superfluid Helium, Rev. Mod. Phys. 38, 298 (1966)
[18] O. Avenel and E. Varoquaux, Observation of Singly Quantized Dissipation Events Obeying the Josephson Frequency Relation in the Critical Flow of Superfluid 4He through an Aperture, Phys Rev. Lett. 55, 2704 (1985)
[19] O. Avenel, M. Bernard, S. Burkhart, E. Varoquaux, Autopsy of superflow col-lapses and multiple phase slips, Phisica B 210, 215-233 (1995)
[20] B. Josephson, Possible new effects in superconductive tunnelling, Phys. Lett. 1251-253 (1962)
[21] E. Hoskinson, Y. Sato, I. Harn and R. E. Packard, Transition from phase slips to the Josephson effect in a superfluid 4He weak link, Nature Phys. 2, 23-26 (2006)
[22] E. Hoskinson, Superfluid 4He weak links, Thesis, University of California at Barkeley (2005)
[23] D. S. Greywall and G. Ahlers, Second-Sound Velocity and Superfluid Density in 4He under Pressure near Tλ, Phys. Rev. A 7, 2145 (1973)
[24] G. Ahlers, Critical phenomena at low temperature, Rev. Mod. Phys. 52, 489 (1980)
[25] M. Barmatz, J. Hahn, J. A. Lipa, and R. V. Duncan, Critical phenomena in micro- gravity: Past, present, and future, Rev. Mod. Phys, 79, 1 (2007)
[26] J. C. L. Guillou and J. Zinn-Justin, Critical Exponents for the n-Vector Model in Three Dimensions from Field Theory, Phys. Rev. Lett. 39, 95 (1977)
[27] C. W. Kiewiet, H. E. Hall and J. D. Reppy, Superfluid Density in Porous Vycor Glass, Phys. Rev. Lett. 35, 1286 (1975)
[28] M. H. W. Chan, K. I. Blum, S. Q. Murphy, G. K. S. Won, and J. D. Reppy, Disorder and the Superfluid Transition in Liquid 4He, Phys. Rev. Lett. 61, 1950 (1988)
[29] G. K. Wong, Superfluid Critical Behavior in the Presence of a Dilute Correlated Impurity, Thesis, Cornell University (1990)
[30] A. B. Harris, Effect of random defects on the critical behavior of Ising models, J. Phys. C 7, 1671 (1974)
[31] J. A. Lipa, J. A. Nissen, D. A. Sticker, D. R. Swanson, and T. C. P. Chui, Specific heat of liquid helium in zero gravity very near the lambda point, Phys. Rev. B 68, 174518 (2003)
[32] J. Yoon and M. H. W. Chan, Superfluid Transition of 4He in Porous Gold, Phys. Rev. Lett. 78, 4801 (1997)
[33] J. Yoon, D. Sergatskov, J. Ma, N. Mulders, and M. H. W. Chan, Superfluid Tran- sition of 4He in Ultralight Aerogel, Phys. Rev. Lett. 80, 1461 (1998)
[34] M. Chan, N. Mulders, and J. Reppy, Helium in aerogel, Phys. Today 49 (8), 30 (1996)
[35] G. K. S. Wong, P. A. Crowell, H. A. Cho, and J. D. Reppy, Superfluid critical behavior in the presence of a dilute correlated impurity, Phys. Rev. B 48, 3858 (1993)
[36] 高橋和孝、西森秀稔、『相転移・臨界現象とくりこみ群』、丸善出版 (2017)
[37] K. Yamamoto, Y. Shiabayama and K. Shirahama, Thermodynamic Evidence for Nanoscale Bose-Einstein Condensation in 4He Confined in Nanoporous Media, Phys. Rev. Lett. 100, 195301 (2008)
[38] K. Shirahama, 4He in Nano-porous Media: Superfluidity and Quantum Phase Transition, J. Low Temp. Phys. 146, 485 (2007)
[39] K. Shirahama, K. Yamamoto, and Y. Shibayama, Superfluidity of 4He Confined in Nano-Porous Media, Low Temp. Phys. 34, 273 (2008)
[40] K. Shirahama, K. Yamamoto, and Y. Shibayama, Localized Bose-Einstein Con- densation of 4He Confined in Nanoporous Media, J. Phys. Soc. Jpn. 77, 111011 (2008)
[41] S. Miyamoto and Y. Takano, Superfluidity in 4He adsorbed in porous silica, Czech J. Phys. 46, 137 (1996)
[42] S. Miyamoto, Torsion Pendulum Studies of 4He in Nanopores, Thesis, University of Florida (1995)
[43] O. Plantevin, H. R. Glyde, B. Fåk, J. Bossy, F. Albergamo, N. Mulders and H. Schober, Excitations in liquid 4He in Geltech silica and localized Bose condensa- tion, Phys. Rev. B 65, 224505 (2002)
[44] K. Yamamoto, Y. Shibayama, and K. Shirahama, Liquid-Solid Transition and Phase Diagram of 4He Confined in Nanoporous Glass, J. Phys. Soc. Jpn. 77, 013601 (2007)
[45] R. W. Simmonds, A. Loshak, A. Marchenkov, S. Backhaus, S. Pereversev, S. Vi- tale, J. C. Davis, and R. E. Packard, dc Supercurrents from Resonant Mixing of Josephson Oscillations in a 3Fe Weak Link, Phys. Rev. Lett. 81, 1247 (1998)
[46] S. Narayana and Y. Sato, Direct Observation of Dynamical Bifurcation in a Su-perfluid Josephon Junction, Phys. Rev. Lett. 105, 205302 (2010)
[47] X. Rojas and J. P. Davis, Superfluid nanomechanical resonator for quantum nanofluidics, Phys. Rev. B 91, 024503 (2015)
[48] J. S. Brooks, B. B. Sabo, P. C. Schubert, and W. Zimmertmann, Jr., Helmholtz resonator measurements of the superfluid density of liquid 4He in submicrometer-diameter channels, Phys. Rev. B 19, 4524 (1979)
[49] A. Tyler, H. A. Cho and J. D. Reppy, Superflow and Dissipation in Porous Glasses, J. Low Temp. Phys. 89, 57 (1992)
[50] A. Tyler, H. A. Cho and J. D. Reppy, Vortex Flow in Helium-Filled Vycor Glass, Phys. Rev. Lett. 73, 987 (1994)
[51] E. P. Barrett, L. G. Joyner, and P. P. Halenda, The Determination of Pore Vol- ume and Area Distribution in Porous Substances. I. Computations from Nitrogen Isotherms, J. Am. Chem. Soc. 73, 373 (1951)
[52] R. Blaauwgeers, M. Blazkova, M. Cˇ lovecˇko, V. B. Eltsov, R. de Graaf, J. Hosio, M. Krusius, D. Schmoranzer, W. Schoepe, L. Skrbek, P. Skyba, R. E. Solntsev, and D. E. Zmeev, J. Low Temp. Phys. 146, 537 (2007)
[53] G. Y. Gor, D. W. Siderius, C. J. Rasmussen, W. P. Krekelberg, V. K. Shen, and N. Bernstein, Relation between pore size and the compressibility of a confined fluid, J. Chem. Phys. 143, 194506 (2015)
[54] L. S. Goldner, N. Mulders, and G. Ahlers, Second sound very near Tλ, J. Low Temp. Phys. 93, 131 (1993)
[55] M. Campostrini, M. Hasenbucsh, A. Pelissetto, P. Rossi, and E. Vicari, Critical behavior of the three-dimensional XY universality class, Phys. Rev. B 63, 214503 (2001)
[56] N. Mulders, R. Mehrotra, L. S. Goldner, and G. Ahlers, Superfluid density from heat pulse propagation near the λ kine in 4aerogel systems, Phy. Rev. Lett. 67 695 (1991)
[57] F. M. Gasparini, M. O. Kimball, K. P. Mooney, and M. Diaz-Avila, Finite-size scaling of 4He at the superfluid transition, Rev. Mod. Phys. 80, 1195 (2008)
[58] G. Zassenhaus, A high resolution specific heat measurement near superflow onset in the helium-4/vycor system, Ph. D. Thesis, Cornell University (1999)
[59] D. F. Brewer, Some thermal, magnetic, and flow properties of adsorbed He and He3-He4 mixtures, J. Low Temp. Phys. 3, 205 (1970)
[60] E. G. Syskakis, F. Pobell, and H. Ullmaier, Superfluidity of 4He confined in mi- croscopic bubbles in copper, Phys. Rev. Lett. 55, 2964 (1985)
[61] 山本恵一、『ナノ多孔体に閉じ込めた 4He の量子効果』、博士論文、慶應義塾大学 (2008)
[62] B. D. Josephson, Relation between the superfuid density and order parameter for superfluid He near Tc, Phys. Lett. 21, 608 (1966)
[63] M. E. Fisher, M. N. Barber, and D. Jasnow, Helicity Modulus, Superfluidity, and Scaling in Isotropic Systems, Phys. Rev. A 8, 1111 (1973)
[64] G. Zassenhaus and J. D. Reppy, Lambda Point in the 4He-Vycor System: A Test of Hyperuniversality, Phys. Rev. Lett. 83, 4800 (1999)
[65] T. Kobayashi, J. Taniguchi, A. Saito, S. Fukazawa, M. Suzuki, and K. Shirahama, Ultrasound Measurements of 4He Confined in a Nano-porous Glass, J. Phys. Soc. Jpn. 79, 084601 (2010)
[66] A. Weinrib and B. I. Halperin, Critical phenomena in systems with long-range-correlated quenched disorder, Phys. Rev. B 27, 413 (1983)
[67] R. B. Robinson, R. Jochemsen, J. D. Reppy, Reduction of Rounding in the 4He - Vycor Superfluid Transition with Improved Vycor Samples, Physica B 194-196, 569 (1994)
[68] E. Chow, P. Delsing, and D. B. Haviland, Length-scale dependence of the super- conductor to insulator quantum phase transition in one dimension, Phys. Rev. Lett. 81, 204 (1998)
[69] D. B. Haviland, K. Anderson, P. Ågren, J. Johansson, V. Scho¨llmann, and M. Watanabe, Qantum phase transition in one-dimensional Josephson junction arrays, Physica C 352, 55 (2001)
[70] Y. Mukharsky, A. Penzev, and E. Varoquaux, Low frequency acoustics in solid 4He at low temperature, Phys. Rev. B 80, 140504(R) (2009)
[71] Y. Mukharsky, O. Avenel and E. Varoquaux, Search for Supersolidity in 4He in Low-Frequency Sound Experiments, J. Low Temp. Phys. 148, 689 (2007)
[72] D. J. Bishop and J. D. Reppy, Study of the superfluid transition in two-dimensiona 4He films, Phys. Rev. B 22, 5171 (1980)
[73] J. Taniguchi, K. Demura, and M. Suzuki, Dinamical superfluid response of 4He confined in a nanometer-size channel, Phys. Rev. B 88, 014502 (2013)
[74] T. Eggel, M. A. Cazalilla, and M. Oshikawa, Dinamical Theory of Superfluidity in One Dimension, Phys. Rev. Lett. 107, 275302 (2011)
[75] 出村健太、『1 次元ナノ多孔体中 4He の超流動と比熱』、博士論文、電気通信大学 (2017)
[76] R. G. Bennett, L. V. Levitin, A. Casey, B. Cowan, J. Parpia and J. Saunders, Su- perfluid 3He Confined to a Single 0.6 Micron Slab Stability and Properties of the A-Like Phase Near the Weak Coupling Limit, J. Low Temp. Phys. 158, 163 (2010)
[77] N. Zhelev, T. S. Abhilash, E. N. Smith, R. G. Bennett, X. Rojas, L. Levitin, J. Saunders and J. M. Parpia, The A-B transition in superfluid helium-3 under con- finement in a thin slab geometry, Nature Communications 8, 15963 (2017)
[78] T. Mizushima and J. A. Sauls, Bosonic Surface States and Acoustic Spectroscopt of Confined Superfluid 3He-B, arXiv:1801.02277
[79] P. N. Bruzov and V. N. Popov, Superfluidity and Bose excitations in 3He films, Zh. Eksp. Teor. Fiz 80, 1564 (1981)
[80] S. Autti, V. V. Dmitriev, J. T. Ma¨kinen, A. A. Soldatov, G. E. Volovik, A. N. Yudin, V. V. Zavjalov, and V. B. Eltsov, Observation of Half-Quantum Vortices in Topological Superfluid 3He, Phys. Rev. Lett. 117, 255301 (2016)
[81] V. V. Dmitriev, A. A. Senin, A. A. Soldatov, and A. N. Yudin, Polar Phase of Superfluid 3He in Anisotropic Aerogel, Phys. Rev. Lett. 115, 165304 (2015)
[82] J. Jang, D. G. Ferguson, V. Vakaryuk, R. Budakian, S. B. Chung, P. W. Gold- bart, and Y. Maeno, Observation of Half-Hight Magnetization Steps in Sr2RuO4, Science 331, 186 (2011)
[83] S. Backhaus, S. Pereverzev, R. W. Simmonds, A. Loshak, J. C. Davis and R. E. Packard, Discovery of a metastable π state in a superfluid 3He weak link, Nature 392, 687 (1998)
[84] F. La¨mer and A. Schilp, Anisotropic etching of silicon substrates - using a poly- merisation process in between etching stages to protect lateral edges of the etched shape (1992). Patent number: WO9414187-A, DE4241045-C
[85] O. Tabata, R. Asahi, H. Funabashi, K. Shimaoka, and S. Sugiyama, Anisotropic etching of silicon in TMAH solutions, Sensors and Actuators A 34, 51 (1992)
[86] A. A. Joshi, Superfluid 4He interferometers: construction and experiments, Thesis, University of California, Berkeley (2013)
[87] 谷智行、『ナノ多孔体中ヘリウム 4 の超流動抑制とジョセフソン効果』、修士論文、慶應義塾大学 (2015)
[88] E. Varoquaux, O. Avenel and M. W. Meisel, Phase slippage and vortex nucleation in the critical flow of superfluid 4He through an orifice, Can. J. phys. 65, 1377 (1987)
[89] J. S. Brooks and R. J. Donnelly, The calculated thermodynamic properties of su- perfluid helium-4, J. Phys. Chem. Ref. Data 6, 51 (1977)
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