메뉴 건너뛰기




Volumn 2009, Issue 2, 2009, Pages

The kosterlitz-thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models

Author keywords

Classical Monte Carlo simulations; Critical exponents and amplitudes (theory); Finite size scaling; Surface effects (theory)

Indexed keywords


EID: 65449179963     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2009/02/P02005     Document Type: Article
Times cited : (28)

References (57)
  • 1
    • 0001898814 scopus 로고
    • The renormalization group and the ε-expansion
    • Wilson K G and Kogut J 1974 The renormalization group and the ε-expansion Phys. Rep. C 12 75
    • (1974) Phys. Rep. , vol.12 , Issue.2 , pp. 75
    • Wilson, K.G.1    And Kogut, J.2
  • 2
    • 35949031669 scopus 로고
    • The renormalization group in the theory of critical behavior
    • Fisher M E 1974 The renormalization group in the theory of critical behavior Rev. Mod. Phys. 46 597
    • (1974) Rev. Mod. Phys. , vol.46 , Issue.4 , pp. 597
    • Fisher, M.E.1
  • 3
    • 0032393880 scopus 로고    scopus 로고
    • Renormalization group theory: Its basis and formulation in statistical physics
    • Fisher M E 1998 Renormalization group theory: its basis and formulation in statistical physics Rev. Mod. Phys. 70 653
    • (1998) Rev. Mod. Phys. , vol.70 , Issue.2 , pp. 653
    • Fisher, M.E.1
  • 4
    • 0036792138 scopus 로고    scopus 로고
    • Critical phenomena and renormalization-group theory
    • Pelissetto A and Vicari E 2002 Critical phenomena and renormalization-group theory Phys. Rep. 368 549 [arXiv:cond-mat/0012164]
    • (2002) Phys. Rep. , vol.368 , Issue.6 , pp. 549
    • Pelissetto, A.1    And Vicari, E.2
  • 6
    • 4344691923 scopus 로고    scopus 로고
    • Specific heat of liquid helium in zero gravity very near the λ-point
    • Lipa J A, Nissen J A, Stricker D A, Swanson D R and Chui T C P 2003 Specific heat of liquid helium in zero gravity very near the λ-point Phys. Rev. B 68 74518 [arXiv:cond-mat/0310163]
    • (2003) Phys. Rev. , vol.68 , Issue.17 , pp. 174518
    • Lipa, J.A.1    Nissen, J.A.2    Stricker, D.A.3    Swanson, D.R.4    Chui, T.C.P.5
  • 9
    • 33846400070 scopus 로고    scopus 로고
    • Critical phenomena in microgravity: Past, present, and future
    • Barmatz M, Hahn I, Lipa J A and Duncan R V 2007 Critical phenomena in microgravity: past, present, and future Rev. Mod. Phys. 79 1
    • (2007) Rev. Mod. Phys. , vol.79 , Issue.1 , pp. 1
    • Barmatz, M.1    Hahn, I.2    Lipa, J.A.3    Duncan, R.V.4
  • 12
    • 65449126045 scopus 로고    scopus 로고
    • A Monte Carlo study of the three-dimensional XY universality class: Universal amplitude ratios
    • Hasenbusch M 2008 A Monte Carlo study of the three-dimensional XY universality class: Universal amplitude ratios J. Stat. Mech. P12006 [arXiv:0810.2716]
    • (2008) J. Stat. Mech. , vol.2008 , Issue.12 , pp. 12006
    • Hasenbusch, M.1
  • 13
    • 33646668033 scopus 로고
    • Ordering, metastability and phase transitions in two-dimensional systems
    • Kosterlitz J M and Thouless D J 1973 Ordering, metastability and phase transitions in two-dimensional systems J. Phys. C: Solid State Phys. 6 1181
    • (1973) J. Phys. C: Solid State Phys. , vol.6 , Issue.7 , pp. 1181
    • Kosterlitz, J.M.1    And Thouless, D.J.2
  • 14
    • 36149076140 scopus 로고
    • The critical properties of the two-dimensional xy model
    • Kosterlitz J M 1974 The critical properties of the two-dimensional xy model J. Phys. C: Solid State Phys. 7 1046
    • (1974) J. Phys. C: Solid State Phys. , vol.7 , Issue.6 , pp. 1046
    • Kosterlitz, J.M.1
  • 15
    • 13044268246 scopus 로고
    • Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
    • José J V, Kadanoff L P, Kirkpatrick S and Nelson D R 1977 Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model Phys. Rev. B 16 1217
    • (1977) Phys. Rev. , vol.16 , Issue.3 , pp. 1217
    • José, J.V.1    Kadanoff, L.P.2    Kirkpatrick, S.3    Nelson, D.R.4
  • 16
    • 0008648942 scopus 로고
    • Renormalisation group analysis of the phase transition in the 2D Coulomb gas, Sine-Gordon theory and XY model
    • Amit D J, Goldschmidt Y Y and Grinstein G 1980 Renormalisation group analysis of the phase transition in the 2D Coulomb gas, Sine-Gordon theory and XY model J. Phys. A: Math. Gen. 13 585
    • (1980) J. Phys. A: Math. Gen. , vol.13 , Issue.2 , pp. 585
    • Amit, D.J.1    Goldschmidt, Y.Y.2    Grinstein, G.3
  • 20
    • 0001516909 scopus 로고
    • Susceptibility scaling functions for ferromagnetic Ising films
    • Capehart T W and Fisher M E 1976 Susceptibility scaling functions for ferromagnetic Ising films Phys. Rev. B 13 5021
    • (1976) Phys. Rev. , vol.13 , Issue.11 , pp. 5021
    • Capehart, T.W.1    And Fisher, M.E.2
  • 22
    • 84956097144 scopus 로고
    • 4He: Renormalization-group theory
    • 4He: renormalization-group theory Phys. Scr. T 49A 46
    • (1993) Phys. Scr. , pp. 46
    • Dohm, V.1
  • 23
    • 2342460691 scopus 로고    scopus 로고
    • Heat-capacity scaling function for confined superfluids
    • Nho K and Manousakis E 2003 Heat-capacity scaling function for confined superfluids Phys. Rev. B 68 174503 [arXiv:cond-mat/0305500]
    • (2003) Phys. Rev. , vol.68 , Issue.17 , pp. 174503
    • Nho, K.1    And Manousakis, E.2
  • 24
    • 0001856561 scopus 로고
    • Critical behaviour at surfaces
    • Binder K 1983 Critical behaviour at surfaces Phase Transitions and Critical Phenomena vol 8 ed C Domb and J L Lebowitz (New York: Academic) p 1
    • (1983) Phase Transitions and Critical Phenomena , vol.8 , pp. 1
    • Binder, K.1
  • 25
    • 0003130040 scopus 로고
    • Field-theoretical approach to critical behaviour at surfaces
    • Diehl H W 1986 Field-theoretical approach to critical behaviour at surfaces Phase Transitions and Critical Phenomena vol 10 ed C Domb and J L Lebowitz (London: Academic) p 76
    • (1986) Phase Transitions and Critical Phenomena , vol.10 , pp. 76
    • Diehl, H.W.1
  • 26
    • 0000230579 scopus 로고
    • Universality, irrelevant surface operators, and corrections to scaling in systems with free surfaces and defect planes
    • Diehl H W, Dietrich S and Eisenriegler E 1983 Universality, irrelevant surface operators, and corrections to scaling in systems with free surfaces and defect planes Phys. Rev. B 27 2937
    • (1983) Phys. Rev. , vol.27 , Issue.5 , pp. 2937
    • Diehl, H.W.1    Dietrich, S.2    Eisenriegler, E.3
  • 27
    • 0001529249 scopus 로고
    • Critical exponents by the scaling-field method: The isotropic N-vector model in three dimensions
    • Newman K E and Riedel E K 1984 Critical exponents by the scaling-field method: the isotropic N-vector model in three dimensions Phys. Rev. B 30 6615
    • (1984) Phys. Rev. , vol.30 , Issue.11 , pp. 6615
    • Newman, K.E.1    And Riedel, E.K.2
  • 28
    • 0003695062 scopus 로고
    • Monte Carlo simulation of dimensional crossover in the XY model
    • Janke W and Nather K 1993 Monte Carlo simulation of dimensional crossover in the XY model Phys. Rev. B 48 15807
    • (1993) Phys. Rev. , vol.48 , Issue.21 , pp. 15807
    • Janke, W.1    And Nather, K.2
  • 29
    • 1842516885 scopus 로고
    • Crossover from two- to three-dimensional behavior in superfluids
    • Schultka N and Manousakis E 1995 Crossover from two- to three-dimensional behavior in superfluids Phys. Rev. B 51 11712 [arXiv:cond-mat/9406014]
    • (1995) Phys. Rev. , vol.51 , Issue.17 , pp. 11712
    • Schultka, N.1    And Manousakis, E.2
  • 30
    • 0030263071 scopus 로고    scopus 로고
    • Scaling of the superfluid density in superfluid films
    • Schultka N and Manousakis E 1996 Scaling of the superfluid density in superfluid films J. Low Temp. Phys. 105 3 [arXiv:cond-mat/9602085]
    • (1996) J. Low Temp. Phys. , vol.105 , Issue.1-2 , pp. 3
    • Schultka, N.1    And Manousakis, E.2
  • 31
    • 0031353539 scopus 로고    scopus 로고
    • Boundary effects in superfluid films
    • Schultka N and Manousakis E 1997 Boundary effects in superfluid films J. Low Temp. Phys. 109 733 [arXiv:cond-mat/9702216]
    • (1997) J. Low Temp. Phys. , vol.109 , Issue.5-6 , pp. 733
    • Schultka, N.1    And Manousakis, E.2
  • 32
    • 33646591548 scopus 로고    scopus 로고
    • 4He in the quasi-two-dimensional geometry
    • 4He in the quasi-two-dimensional geometry Phys. Rev. B 73 174508
    • (2006) Phys. Rev. , vol.73 , Issue.17 , pp. 174508
    • Zhang, C.1    Nho, K.2    Landau, D.P.3
  • 33
    • 35948966033 scopus 로고    scopus 로고
    • c: Monte Carlo results
    • c: Monte Carlo results Phys. Rev. Lett. 99 185301 arXiv:0706.3458
    • (2007) Phys. Rev. Lett. , vol.99 , Issue.18 , pp. 185301
    • Hucht, A.1
  • 34
    • 78951496078 scopus 로고    scopus 로고
    • Monte Carlo simulation results for critical Casimir forces
    • Vasilyev O, Gambassi A, Maciolek A and Dietrich S 2007 Monte Carlo simulation results for critical Casimir forces Europhys. Lett. 80 60009 arXiv:0708.2902
    • (2007) Europhys. Lett. , vol.80 , Issue.6 , pp. 60009
    • Vasilyev, O.1    Gambassi, A.2    MacIolek, A.3    Dietrich, S.4
  • 35
    • 51349133109 scopus 로고    scopus 로고
    • The Binder cumulant at the Kosterlitz-Thouless transition
    • Hasenbusch M 2008 The Binder cumulant at the Kosterlitz-Thouless transition J. Stat. Mech. P08003 [arXiv:0804.1880]
    • (2008) J. Stat. Mech. , vol.2008 , Issue.8 , pp. 08003
    • Hasenbusch, M.1
  • 36
    • 1542641001 scopus 로고    scopus 로고
    • Finite size effects on measures of critical exponents in d = 3 O(N) models
    • Ballesteros H G, Fernandez L A, Martin-Mayor V and Munoz-Sudupe A 1996 Finite size effects on measures of critical exponents in d = 3 O(N) models Phys. Lett. B 387 125 [arXiv:cond-mat/9606203]
    • (1996) Phys. Lett. , vol.387 , Issue.1 , pp. 125
    • Ballesteros, H.G.1    Fernandez, L.A.2    Martin-Mayor, V.3    Munoz-Sudupe, A.4
  • 37
    • 0037047603 scopus 로고    scopus 로고
    • Universal amplitude ratios from numerical studies of the three-dimensional O(2) model
    • Cucchieri A, Engels J, Holtmann S, Mendes T and Schulze T 2002 Universal amplitude ratios from numerical studies of the three-dimensional O(2) model J. Phys. A: Math. Gen. 35 6517 [arXiv:cond-mat/0202017]
    • (2002) J. Phys. A: Math. Gen. , vol.35 , Issue.31 , pp. 6517
    • Cucchieri, A.1    Engels, J.2    Holtmann, S.3    Mendes, T.4    Schulze, T.5
  • 38
    • 27244457367 scopus 로고    scopus 로고
    • Surface and bulk transitions in three-dimensional O(n) models
    • Deng Y, Blöte H W J and Nightingale M P 2005 Surface and bulk transitions in three-dimensional O(n) models Phys. Rev. E 72 016128 [arXiv:cond-mat/0504173]
    • (2005) Phys. Rev. , vol.72 , Issue.1 , pp. 016128
    • Deng, Y.1    Blöte, H.W.J.2    Nightingale, M.P.3
  • 40
    • 0039064962 scopus 로고    scopus 로고
    • High precision Monte Carlo study of the 3D XY-universality class
    • Hasenbusch M and Török T 1999 High precision Monte Carlo study of the 3D XY-universality class J. Phys. A: Math. Gen. 32 6361 [arXiv:cond-mat/9904408]
    • (1999) J. Phys. A: Math. Gen. , vol.32 , Issue.36 , pp. 6361
    • Hasenbusch And Török M, T.1
  • 41
    • 0034896590 scopus 로고    scopus 로고
    • Critical behavior of the three-dimensional XY universality class
    • Campostrini M, Hasenbusch M, Pelissetto A, Rossi P and Vicari E 2001 Critical behavior of the three-dimensional XY universality class Phys. Rev. B 63 214503 [arXiv:cond-mat/0010360]
    • (2001) Phys. Rev. , vol.63 , Issue.21 , pp. 214503
    • Campostrini, M.1    Hasenbusch, M.2    Pelissetto, A.3    Rossi, P.4    Vicari, E.5
  • 42
    • 0000612920 scopus 로고
    • Finite-size scaling study of the three-dimensional classical XY model
    • Li Y-H and Teitel S 1989 Finite-size scaling study of the three-dimensional classical XY model Phys. Rev. B 40 9122
    • (1989) Phys. Rev. , vol.40 , Issue.13 , pp. 9122
    • Li, Y.-H.1    And Teitel, S.2
  • 43
    • 24244445660 scopus 로고
    • Helicity modulus, superfluidity, and scaling in isotropic systems
    • Fisher M E, Barber M N and Jasnow D 1973 Helicity modulus, superfluidity, and scaling in isotropic systems Phys. Rev. A 8 1111
    • (1973) Phys. Rev. , vol.8 , Issue.2 , pp. 1111
    • Fisher, M.E.1    Barber, M.N.2    Jasnow, D.3
  • 44
    • 0000673458 scopus 로고
    • Direct Monte Carlo measurement of the surface tension in Ising models
    • Hasenbusch M 1993 Direct Monte Carlo measurement of the surface tension in Ising models J. Physique I 3 753 [arXiv:hep-lat/9209016]
    • (1993) J. Physique , vol.3 , Issue.3 , pp. 753
    • Hasenbusch, M.1
  • 45
    • 5244336186 scopus 로고
    • Collective Monte Carlo updating for spin systems
    • Wolff U 1989 Collective Monte Carlo updating for spin systems Phys. Rev. Lett. 62 361
    • (1989) Phys. Rev. Lett. , vol.62 , Issue.4 , pp. 361
    • Wolff, U.1
  • 46
    • 0001642844 scopus 로고    scopus 로고
    • Critical exponents of the 3D Ising universality class from finite size scaling with standard and improved actions
    • Hasenbusch M, Pinn K and Vinti S 1999 Critical exponents of the 3D Ising universality class from finite size scaling with standard and improved actions Phys. Rev. B 59 11471 [arXiv:hep-lat/9806012]
    • (1999) Phys. Rev. , vol.59 , Issue.17 , pp. 11471
    • Hasenbusch, M.1    Pinn, K.2    Vinti, S.3
  • 47
    • 78650359235 scopus 로고    scopus 로고
    • Saito M 2007 An application of finite field: design and implementation of 128-bit instruction-based fast pseudorandom number generator PhD Thesis Dept. of Math., Graduate School of Science, Hiroshima University Advisor: M Matsumoto; The numerical program and a detailed description can be found at http://www.math.sci.hiroshima-u.ac.jp/∼m-mat/MT/SFMT/index.html
    • (2007) PhD Thesis
    • Saito, M.1
  • 48
    • 0000668914 scopus 로고
    • Monte Carlo determination of the critical temperature for the two-dimensional XY model
    • Weber H and Minnhagen P 1988 Monte Carlo determination of the critical temperature for the two-dimensional XY model Phys. Rev. B 37 5986
    • (1988) Phys. Rev. , vol.37 , Issue.10 , pp. 5986
    • Weber, H.1    And Minnhagen, P.2
  • 49
    • 21244485102 scopus 로고    scopus 로고
    • The two-dimensional XY model at the transition temperature: A high precision Monte Carlo study
    • Hasenbusch M 2005 The two-dimensional XY model at the transition temperature: a high precision Monte Carlo study J. Phys. A: Math. Gen. 38 5869 [arXiv:cond-mat/0502556]
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.26 , pp. 5869
    • Hasenbusch, M.1
  • 50
    • 0031556887 scopus 로고    scopus 로고
    • Computing the roughening transition of Ising and solid-on-solid models by BCSOS model matching
    • Hasenbusch M and Pinn K 1997 Computing the roughening transition of Ising and solid-on-solid models by BCSOS model matching J. Phys. A: Math. Gen. 30 63 [arXiv:cond-mat/9605019]
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.1 , pp. 63
    • Hasenbusch, M.1    And Pinn, K.2
  • 51
    • 0031582570 scopus 로고    scopus 로고
    • Universal amplitude ratios in the 3-D Ising model
    • Caselle M and Hasenbusch M 1997 Universal amplitude ratios in the 3-D Ising model J. Phys. A: Math. Gen. 30 4963 [arXiv:hep-lat/9701007]
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.14 , pp. 4963
    • Caselle, M.1    And Hasenbusch, M.2
  • 54
    • 0000111197 scopus 로고
    • Finite-size scaling and the convective conductance and specific heat of planar helium films near the superfluid transition
    • Yu Y Y, Finotello D and Gasparini F M 1989 Finite-size scaling and the convective conductance and specific heat of planar helium films near the superfluid transition Phys. Rev. B 39 6519
    • (1989) Phys. Rev. , vol.39 , Issue.10 , pp. 6519
    • Yu, Y.Y.1    Finotello, D.2    Gasparini, F.M.3
  • 55
    • 65449150753 scopus 로고    scopus 로고
    • Kimball M O 2008 private communication
    • (2008)
    • Kimball, M.O.1
  • 56
    • 0031677016 scopus 로고    scopus 로고
    • Temperature oscillations from a temperature superleak
    • Gasparini F M and Metha S 1998 Temperature oscillations from a temperature superleak J. Low Temp. Phys. 110 293
    • (1998) J. Low Temp. Phys. , vol.110 , pp. 293
    • Gasparini, F.M.1    And Metha, S.2
  • 57
    • 0034831817 scopus 로고    scopus 로고
    • Superfluid fraction of He-3-He-4 mixtures confined at 0.0483 νm between silicon wafers
    • Kimball M O and Gasparini F M 2001 Superfluid fraction of He-3-He-4 mixtures confined at 0.0483 νm between silicon wafers Phys. Rev. Lett. 86 1558
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.8 , pp. 1558
    • Kimball, M.O.1    And Gasparini, F.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.