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Volumn 37, Issue 36, 2004, Pages 8575-8594

Boundary critical behaviour at m-axial Lifshitz points: The special transition for the case of a surface plane parallel to the modulation axes

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EID: 4544386853     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/36/001     Document Type: Article
Times cited : (5)

References (35)
  • 1
    • 0001856561 scopus 로고
    • Critical behaviour at surfaces
    • ed C Domb and J L Lebowitz (London: Academic)
    • Binder K 1983 Critical behaviour at surfaces Phase Transitions and Critical Phenomena vol 8, ed C Domb and J L Lebowitz (London: Academic) pp 1-144
    • (1983) Phase Transitions and Critical Phenomena , vol.8 , pp. 1-144
    • Binder, K.1
  • 2
    • 0009792155 scopus 로고
    • Dynamics of surface enrichment: A theory based on the Kawasaki spin-exchange model in the presence of a wall
    • Binder K and Frisch HL 1991 Dynamics of surface enrichment: a theory based on the Kawasaki spin-exchange model in the presence of a wall Z. Phys. B 84 403
    • (1991) Z. Phys. B , vol.84 , pp. 403
    • Binder, K.1    Frisch, H.L.2
  • 3
    • 0009734979 scopus 로고
    • Critical behaviour of semi-infinite systems
    • Bray A J and Moore M A 1977 Critical behaviour of semi-infinite systems J. Phys. A: Math. Gen. 10 1927
    • (1977) J. Phys. A: Math. Gen. , vol.10 , pp. 1927
    • Bray, A.J.1    Moore, M.A.2
  • 4
    • 0001909227 scopus 로고
    • Conformal invariance
    • ed C Domb and J L Lebowitz (London: Academic)
    • Cardy J L 1987 Conformal invariance Phase Transitions and Critical Phenomena vol 11, ed C Domb and J L Lebowitz (London: Academic) pp 55-126
    • (1987) Phase Transitions and Critical Phenomena , vol.11 , pp. 55-126
    • Cardy, J.L.1
  • 5
    • 0003130040 scopus 로고
    • Field-theoretical approach to critical behaviour at surfaces
    • ed C Domb and J L Lebowitz (London: Academic)
    • 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) pp 75-267
    • (1986) Phase Transitions and Critical Phenomena , vol.10 , pp. 75-267
    • Diehl, H.W.1
  • 6
    • 0001502047 scopus 로고    scopus 로고
    • The theory of boundary critical phenomena
    • Prepint cond-mat/9610143
    • Diehl H W 1997 The theory of boundary critical phenomena Int. J. Mod. Phys. B 11 3503 (Prepint cond-mat/9610143)
    • (1997) Int. J. Mod. Phys. B , vol.11 , pp. 3503
    • Diehl, H.W.1
  • 8
    • 0000671248 scopus 로고
    • Field-theoretical approach to multicritical behavior near free surfaces
    • Diehl H W and Dietrich S 1981 Field-theoretical approach to multicritical behavior near free surfaces Phys. Rev. B 24 2878
    • (1981) Phys. Rev. B , vol.24 , pp. 2878
    • Diehl, H.W.1    Dietrich, S.2
  • 9
    • 0742315331 scopus 로고
    • Multicritical behaviour at surfaces
    • Diehl H W and Dietrich S 1983 Multicritical behaviour at surfaces Z. Phys. B 50 117
    • (1983) Z. Phys. B , vol.50 , pp. 117
    • Diehl, H.W.1    Dietrich, S.2
  • 10
    • 0742305042 scopus 로고    scopus 로고
    • Boundary critical behavior at m-axial Lifshitz points for a boundary plane parallel to the modulation axes
    • Preprint cond-mat/0308483
    • Diehl H W, Gerwinski A and Rutkevich S 2003a Boundary critical behavior at m-axial Lifshitz points for a boundary plane parallel to the modulation axes Phys. Rev. B 68 224428 (Preprint cond-mat/0308483)
    • (2003) Phys. Rev. B , vol.68 , pp. 224428
    • Diehl, H.W.1    Gerwinski, A.2    Rutkevich, S.3
  • 11
    • 0038745777 scopus 로고    scopus 로고
    • Surface critical behaviour at m-axial Lifshitz points: Continuum models, boundary conditions and two-loop renormalization group results
    • Diehl H W, Rutkevich S and Gerwinski A 2003b Surface critical behaviour at m-axial Lifshitz points: continuum models, boundary conditions and two-loop renormalization group results J. Phys. A: Math. Gen. 36 L243
    • (2003) J. Phys. A: Math. Gen. , vol.36
    • Diehl, H.W.1    Rutkevich, S.2    Gerwinski, A.3
  • 12
    • 0001124467 scopus 로고
    • Surface critical behavior in fixed dimensions d < 4: Nonanalyticity of critical surface enhancement and massive field theory approach
    • Diehl H W and Shpot M 1994 Surface critical behavior in fixed dimensions d < 4: nonanalyticity of critical surface enhancement and massive field theory approach Phys. Rev. Lett. 73 3431
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 3431
    • Diehl, H.W.1    Shpot, M.2
  • 13
    • 0032555878 scopus 로고    scopus 로고
    • Massive field-theory approach to surface critical behavior in three-dimensional systems
    • Preprint cond-mat/9804083
    • Diehl H W and Shpot M 1998 Massive field-theory approach to surface critical behavior in three-dimensional systems Nucl. Phys. B 528 595 (Preprint cond-mat/9804083)
    • (1998) Nucl. Phys. B , vol.528 , pp. 595
    • Diehl, H.W.1    Shpot, M.2
  • 14
    • 0034312873 scopus 로고    scopus 로고
    • Critical behavior at m-axial Lifshitz points: Field-theory analysis and ε-expansion results
    • Preprint cond-mat/0006007
    • Diehl H W and Shpot M 2000 Critical behavior at m-axial Lifshitz points: field-theory analysis and ε-expansion results Phys. Rev. B 62 12 338 (Preprint cond-mat/0006007)
    • (2000) Phys. Rev. B , vol.62 , pp. 12338
    • Diehl, H.W.1    Shpot, M.2
  • 15
    • 0742280370 scopus 로고    scopus 로고
    • Relevance of space anisotropy in the critical behavior of m-axial Lifshitz points
    • Preprint cond-mat/0307355
    • Diehl H W, Shpot M and Zia R K P 2003c Relevance of space anisotropy in the critical behavior of m-axial Lifshitz points Phys. Rev. B 68 224415 (Preprint cond-mat/0307355)
    • (2003) Phys. Rev. B , vol.68 , pp. 224415
    • Diehl, H.W.1    Shpot, M.2    Zia, R.K.P.3
  • 16
    • 0004473059 scopus 로고
    • Critical behaviour of the energy density in semi-infinite systems
    • Dietrich S and Diehl H W 1981 Critical behaviour of the energy density in semi-infinite systems Z. Phys. B 43 315
    • (1981) Z. Phys. B , vol.43 , pp. 315
    • Dietrich, S.1    Diehl, H.W.2
  • 17
    • 0031075431 scopus 로고    scopus 로고
    • Surface critical behavior of binary alloys and antiferromagnets: Dependence of the universality class on surface orientation
    • Preprint cond-mat/9609245
    • Drewitz A, Leidl R, Burkhardt T W and Diehl H W 1997 Surface critical behavior of binary alloys and antiferromagnets: dependence of the universality class on surface orientation Phys. Rev. Lett. 78 1090 (Preprint cond-mat/9609245)
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 1090
    • Drewitz, A.1    Leidl, R.2    Burkhardt, T.W.3    Diehl, H.W.4
  • 18
    • 0002398088 scopus 로고    scopus 로고
    • Surface critical behaviour near the uniaxial Lifshitz point of the axial next-nearest-neighbour Ising model
    • Frisch H L, Kimball J C and Binder K 2000 Surface critical behaviour near the uniaxial Lifshitz point of the axial next-nearest-neighbour Ising model J. Phys.: Condens. Matter 12 29
    • (2000) J. Phys.: Condens. Matter , vol.12 , pp. 29
    • Frisch, H.L.1    Kimball, J.C.2    Binder, K.3
  • 19
    • 0002272834 scopus 로고
    • Semi-infinite Ising model: 1. Thermodynamic functions and phase diagram in absence of magnetic field
    • Fröhlich J and Pfister C E 1987 Semi-infinite Ising model: 1. Thermodynamic functions and phase diagram in absence of magnetic field Commun. Math. Phys. 109 493
    • (1987) Commun. Math. Phys. , vol.109 , pp. 493
    • Fröhlich, J.1    Pfister, C.E.2
  • 21
    • 0000033310 scopus 로고
    • Surface critical behavior near the Lifshitz point of a semi-infinite system
    • Gumbs G 1986 Surface critical behavior near the Lifshitz point of a semi-infinite system Phys. Rev. B 33 6500
    • (1986) Phys. Rev. B , vol.33 , pp. 6500
    • Gumbs, G.1
  • 22
    • 0000312824 scopus 로고
    • The Lifshitz point: Phase diagrams and critical behavior
    • Hornreich R M 1980 The Lifshitz point: phase diagrams and critical behavior J. Magn. Magn. Mater. 15-18 387
    • (1980) J. Magn. Magn. Mater. , vol.15-18 , pp. 387
    • Hornreich, R.M.1
  • 23
    • 0000517132 scopus 로고
    • Monte Carlo study of surface phase transitions in the three-dimensional Ising model
    • Landau D P and Binder K 1990 Monte Carlo study of surface phase transitions in the three-dimensional Ising model Phys. Rev. B 41 4633
    • (1990) Phys. Rev. B , vol.41 , pp. 4633
    • Landau, D.P.1    Binder, K.2
  • 24
    • 0001563530 scopus 로고    scopus 로고
    • Surface critical behavior of bee binary alloys
    • Preprint cond-mat/9707345
    • Leidl R and Diehl H W 1998 Surface critical behavior of bee binary alloys Phys. Rev. B 57 1908 (Preprint cond-mat/9707345)
    • (1998) Phys. Rev. B , vol.57 , pp. 1908
    • Leidl, R.1    Diehl, H.W.2
  • 25
    • 0032108355 scopus 로고    scopus 로고
    • Wetting phenomena in bcc binary alloys
    • Preprint cond-mat/9704215
    • Leidl R, Drewitz A and Diehl H W 1998 Wetting phenomena in bcc binary alloys Int. J. Thermophys. 19 1219 (Preprint cond-mat/9704215)
    • (1998) Int. J. Thermophys. , vol.19 , pp. 1219
    • Leidl, R.1    Drewitz, A.2    Diehl, H.W.3
  • 26
    • 0036564274 scopus 로고    scopus 로고
    • Surface critical exponents at an uniaxial Lifshitz point
    • Pleimling M 2002 Surface critical exponents at an uniaxial Lifshitz point Phys. Rev. B 65 184406/1
    • (2002) Phys. Rev. B , vol.65
    • Pleimling, M.1
  • 27
    • 2642541119 scopus 로고    scopus 로고
    • Critical phenomena at perfect and non-perfect surfaces
    • Pleimling M 2004 Critical phenomena at perfect and non-perfect surfaces J. Phys. A: Math. Gen. 37 R79
    • (2004) J. Phys. A: Math. Gen. , vol.37
    • Pleimling, M.1
  • 28
    • 39249083596 scopus 로고    scopus 로고
    • Anisotropic scaling and generalized conformal invariance at Lifshitz points
    • prreprint hep-th/0103194
    • Pleimling M and Henkel M 2001 Anisotropic scaling and generalized conformal invariance at Lifshitz points Phys. Rev. Lett. 87 125702/1 (prreprint hep-th/0103194)
    • (2001) Phys. Rev. Lett. , vol.87
    • Pleimling, M.1    Henkel, M.2
  • 29
    • 0000510370 scopus 로고
    • Analyticity properties of the surface free energy of the Ising model
    • Pfister C E and Penrose O 1988 Analyticity properties of the surface free energy of the Ising model Commun. Math. Phys. 115 691
    • (1988) Commun. Math. Phys. , vol.115 , pp. 691
    • Pfister, C.E.1    Penrose, O.2
  • 30
    • 0001294743 scopus 로고
    • New method for determination of critical parameters
    • Ruge C, Dunkelmann S and Wagner F 1992 New method for determination of critical parameters Phys. Rev. Lett. 69 2465
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2465
    • Ruge, C.1    Dunkelmann, S.2    Wagner, F.3
  • 31
    • 0346603727 scopus 로고
    • Study of the three-dimensional Ising model on film geometry with the cluster Monte Carlo method
    • Ruge C, Dunkelmann S, Wagner F and Wulf J 1993 Study of the three-dimensional Ising model on film geometry with the cluster Monte Carlo method J. Stat. Phys. 73 293
    • (1993) J. Stat. Phys. , vol.73 , pp. 293
    • Ruge, C.1    Dunkelmann, S.2    Wagner, F.3    Wulf, J.4
  • 32
    • 0343404461 scopus 로고
    • Surface order in body-centered cubic alloys
    • Schmid F 1993 Surface order in body-centered cubic alloys Z. Phys. B 91 77
    • (1993) Z. Phys. B , vol.91 , pp. 77
    • Schmid, F.1
  • 33
    • 0003242030 scopus 로고
    • Spatially modulated structures in systems with competing interactions
    • ed C Domb and J L Lebowitz (London: Academic)
    • Selke W 1992 Spatially modulated structures in systems with competing interactions Phase Transitions and Critical Phenomena vol 15, ed C Domb and J L Lebowitz (London: Academic) pp 1-72
    • (1992) Phase Transitions and Critical Phenomena , vol.15 , pp. 1-72
    • Selke, W.1
  • 34
    • 0000539260 scopus 로고
    • Phase diagram, susceptibility, and magnetostriction of MnP: Evidence for a Lifshitz point
    • Shapira Y, Becerra C, Oliveira N Jr and Chang T 1981 Phase diagram, susceptibility, and magnetostriction of MnP: evidence for a Lifshitz point Phys. Rev. B 24 2780
    • (1981) Phys. Rev. B , vol.24 , pp. 2780
    • Shapira, Y.1    Becerra, C.2    Oliveira Jr., N.3    Chang, T.4
  • 35
    • 0035486386 scopus 로고    scopus 로고
    • Two-loop renormalization-group analysis of critical behavior at m-axial Lifshitz points
    • Preprint cond-mat/0106105
    • Shpot M and Diehl H W 2001 Two-loop renormalization-group analysis of critical behavior at m-axial Lifshitz points Nucl. Phys. B 612 340 (Preprint cond-mat/0106105)
    • (2001) Nucl. Phys. B , vol.612 , pp. 340
    • Shpot, M.1    Diehl, H.W.2


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