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Volumn 78, Issue 2, 2008, Pages

Nonperturbative functional renormalization group for random field models and related disordered systems. II. Results for the random field O (N) model

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EID: 47349096351     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.024204     Document Type: Article
Times cited : (95)

References (69)
  • 1
    • 0000941582 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.35.1399
    • Y. Imry and S. K. Ma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.35.1399 35, 1399 (1975).
    • (1975) Phys. Rev. Lett. , vol.35 , pp. 1399
    • Imry, Y.1    Ma, S.K.2
  • 2
    • 4243412465 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.37.1364
    • A. Aharony, Y. Imry, and S. K. Ma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37.1364 37, 1364 (1976).
    • (1976) Phys. Rev. Lett. , vol.37 , pp. 1364
    • Aharony, A.1    Imry, Y.2    Ma, S.K.3
  • 3
    • 4143075152 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.37.944
    • G. Grinstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37. 944 37, 944 (1976).
    • (1976) Phys. Rev. Lett. , vol.37 , pp. 944
    • Grinstein, G.1
  • 4
    • 4244009744 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/10/9/007
    • A. P. Young, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/10/9/007 10, L257 (1977).
    • (1977) J. Phys. C , vol.10 , pp. 257
    • Young, A.P.1
  • 5
    • 33744743865 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.43.744
    • G. Parisi and N. Sourlas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.43.744 43, 744 (1979).
    • (1979) Phys. Rev. Lett. , vol.43 , pp. 744
    • Parisi, G.1    Sourlas, N.2
  • 6
    • 0000859167 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.53.1747
    • J. Z. Imbrie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53. 1747 53, 1747 (1984).
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 1747
    • Imbrie, J.Z.1
  • 7
    • 4243162354 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.59.1829
    • J. Bricmont and A. Kupiainen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.1829 59, 1829 (1987).
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 1829
    • Bricmont, J.1    Kupiainen, A.2
  • 8
    • 4243342847 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.72.1530
    • T. Giamarchi and P. Le Doussal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1530 72, 1530 (1994).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1530
    • Giamarchi, T.1    Le Doussal, P.2
  • 10
    • 24844466265 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.52.1242
    • T. Giamarchi and P. Le Doussal, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.1242 52, 1242 (1995).
    • (1995) Phys. Rev. B , vol.52 , pp. 1242
    • Giamarchi, T.1    Le Doussal, P.2
  • 12
    • 0034236840 scopus 로고    scopus 로고
    • ADPHAH 0001-8732 10.1080/000187300412257
    • T. Nattermann and S. Scheidl, Adv. Phys. ADPHAH 0001-8732 10.1080/000187300412257 49, 607 (2000).
    • (2000) Adv. Phys. , vol.49 , pp. 607
    • Nattermann, T.1    Scheidl, S.2
  • 13
    • 47349096351 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.78.024203
    • G. Tarjus and M. Tissier, preceding paper, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.78.024203 78, 024203 (2008).
    • (2008) Phys. Rev. B , vol.78 , pp. 024203
    • Tarjus, G.1    Tissier, M.2
  • 14
    • 37649027579 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.267008
    • G. Tarjus and M. Tissier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.267008 93, 267008 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 267008
    • Tarjus, G.1    Tissier, M.2
  • 15
    • 33644537051 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.087202
    • M. Tissier and G. Tarjus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.087202 96, 087202 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 087202
    • Tissier, M.1    Tarjus, G.2
  • 16
    • 0036231822 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(01)00098-9
    • J. Berges, N. Tetradis, and C. Wetterich, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00098-9 363, 223 (2002).
    • (2002) Phys. Rep. , vol.363 , pp. 223
    • Berges, J.1    Tetradis, N.2    Wetterich, C.3
  • 17
    • 3543078918 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.52.1543
    • J. Villain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.1543 52, 1543 (1984).
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1543
    • Villain, J.1
  • 18
    • 4243783259 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.56.416
    • D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56. 416 56, 416 (1986).
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 416
    • Fisher, D.S.1
  • 19
    • 35949021123 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.56.1964
    • D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56. 1964 56, 1964 (1986).
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1964
    • Fisher, D.S.1
  • 20
    • 0001469664 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.48.5949
    • L. Balents and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.5949 48, 5949 (1993).
    • (1993) Phys. Rev. B , vol.48 , pp. 5949
    • Balents, L.1    Fisher, D.S.2
  • 21
  • 22
    • 0036871336 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.66.174201
    • P. Le Doussal, K. J. Wiese, and P. Chauve, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.174201 66, 174201 (2002).
    • (2002) Phys. Rev. B , vol.66 , pp. 174201
    • Le Doussal, P.1    Wiese, K.J.2    Chauve, P.3
  • 23
    • 42749103362 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.69.026112
    • P. Le Doussal, K. J. Wiese, and P. Chauve, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.026112 69, 026112 (2004).
    • (2004) Phys. Rev. e , vol.69 , pp. 026112
    • Le Doussal, P.1    Wiese, K.J.2    Chauve, P.3
  • 24
    • 33645056256 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.31.7233
    • D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.7233 31, 7233 (1985).
    • (1985) Phys. Rev. B , vol.31 , pp. 7233
    • Fisher, D.S.1
  • 25
    • 0037193007 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.88.177202
    • D. E. Feldman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 177202 88, 177202 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 177202
    • Feldman, D.E.1
  • 26
    • 33845618644 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.74.214419
    • M. Tissier and G. Tarjus, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.214419 74, 214419 (2006).
    • (2006) Phys. Rev. B , vol.74 , pp. 214419
    • Tissier, M.1    Tarjus, G.2
  • 30
    • 0347744361 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/S0370-2693(00)00748-6
    • D. Litim, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(00)00748-6 486, 92 (2000).
    • (2000) Phys. Lett. B , vol.486 , pp. 92
    • Litim, D.1
  • 31
    • 0040859776 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/18/1/019
    • M. Schwartz, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/18/1/019 18, 135 (1985).
    • (1985) J. Phys. C , vol.18 , pp. 135
    • Schwartz, M.1
  • 32
    • 33646550878 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.197202
    • P. Le Doussal and K. J. Wiese, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.197202 96, 197202 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 197202
    • Le Doussal, P.1    Wiese, K.J.2
  • 33
    • 0001564544 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.61.382
    • D. E. Feldman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.382 61, 382 (2000).
    • (2000) Phys. Rev. B , vol.61 , pp. 382
    • Feldman, D.E.1
  • 35
    • 33646668033 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/6/7/010
    • J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181 (1973).
    • (1973) J. Phys. C , vol.6 , pp. 1181
    • Kosterlitz, J.M.1    Thouless, D.J.2
  • 37
    • 0000509035 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.53.15193
    • M. J. P. Gingras and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.15193 53, 15193 (1996).
    • (1996) Phys. Rev. B , vol.53 , pp. 15193
    • Gingras, M.J.P.1    Huse, D.A.2
  • 40
    • 47349085375 scopus 로고    scopus 로고
    • In addition, one should keep in mind that the dimensional-reduction fixed point is only approximately described in the minimal truncation (see paper I) and that the exponents η and η̄ slightly deviate from the dimensional-reduction prediction as one moves away from d=4 and from d=6.
    • In addition, one should keep in mind that the dimensional-reduction fixed point is only approximately described in the minimal truncation (see paper I) and that the exponents η and η̄ slightly deviate from the dimensional-reduction prediction as one moves away from d=4 and from d=6.
  • 41
    • 0842326780 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/j.physletb.2003.12.033
    • H. Ballhausen, J. Berges, and C. Wetterich, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2003.12.033 582, 144 (2004).
    • (2004) Phys. Lett. B , vol.582 , pp. 144
    • Ballhausen, H.1    Berges, J.2    Wetterich, C.3
  • 42
  • 43
    • 2142705674 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2003-10170-7
    • L. Balents and P. Le Doussal, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10170-7 65, 685 (2004).
    • (2004) Europhys. Lett. , vol.65 , pp. 685
    • Balents, L.1    Le Doussal, P.2
  • 44
    • 12344255692 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1016/j.aop.2004.10.001
    • L. Balents and P. Le Doussal, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2004.10.001 315, 213 (2005).
    • (2005) Ann. Phys. (N.Y.) , vol.315 , pp. 213
    • Balents, L.1    Le Doussal, P.2
  • 45
    • 0012576553 scopus 로고
    • edited by J. B. Zuber and R. Stora (North Holland, Amsterdam
    • G. Parisi, in Proceedings of Les Houches 1982, Session XXXIX, edited by, J. B. Zuber, and, R. Stora, (North Holland, Amsterdam, 1984), p. 473.
    • (1984) Proceedings of Les Houches 1982, Session XXXIX , pp. 473
    • Parisi, G.1
  • 46
    • 33751042966 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2006-10295-1
    • P. Le Doussal, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10295-1 76, 457 (2006).
    • (2006) Europhys. Lett. , vol.76 , pp. 457
    • Le Doussal, P.1
  • 47
    • 33646259400 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.31.1396
    • D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.1396 31, 1396 (1985).
    • (1985) Phys. Rev. B , vol.31 , pp. 1396
    • Fisher, D.S.1
  • 48
  • 49
    • 24844469719 scopus 로고
    • JOPQAG 0302-0738 10.1088/0022-3719/18/28/006
    • J. Villain, J. Phys. (Paris) JOPQAG 0302-0738 10.1088/0022-3719/18/28/006 46, 1843 (1985).
    • (1985) J. Phys. (Paris) , vol.46 , pp. 1843
    • Villain, J.1
  • 50
    • 0006572765 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/17/18/004
    • A. J. Bray and M. A. Moore, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/18/004 17, L463 (1984).
    • (1984) J. Phys. C , vol.17 , pp. 463
    • Bray, A.J.1    Moore, M.A.2
  • 51
    • 24444433584 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.38.373
    • D. S. Fisher and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.373 38, 373 (1988).
    • (1988) Phys. Rev. B , vol.38 , pp. 373
    • Fisher, D.S.1    Huse, D.A.2
  • 52
    • 33744620852 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.38.386
    • D. S. Fisher and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.386 38, 386 (1988).
    • (1988) Phys. Rev. B , vol.38 , pp. 386
    • Fisher, D.S.1    Huse, D.A.2
  • 53
    • 47349131551 scopus 로고    scopus 로고
    • This behavior is quite different from conventional critical slowing down for which the relaxation time diverges as a power law described by a critical exponent z (Ref.).
    • This behavior is quite different from conventional critical slowing down for which the relaxation time diverges as a power law described by a critical exponent z (Ref.).
  • 54
    • 37649031546 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.69.061107
    • L. Balents and P. Le Doussal, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.061107 69, 061107 (2004).
    • (2004) Phys. Rev. e , vol.69 , pp. 061107
    • Balents, L.1    Le Doussal, P.2
  • 56
    • 35949034972 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.49.435
    • P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.49.435 49, 435 (1977).
    • (1977) Rev. Mod. Phys. , vol.49 , pp. 435
    • Hohenberg, P.C.1    Halperin, B.I.2
  • 57
    • 4244049582 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.36.5383
    • D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.36.5383 36, 5383 (1987).
    • (1987) Phys. Rev. B , vol.36 , pp. 5383
    • Huse, D.A.1
  • 58
    • 0000840262 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.8.423
    • P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.423 8, 423 (1973).
    • (1973) Phys. Rev. a , vol.8 , pp. 423
    • Martin, P.C.1    Siggia, E.D.2    Rose, H.A.3
  • 60
    • 0000010252 scopus 로고
    • ZPBBDJ 0340-224X 10.1007/BF01316547
    • H. K. Janssen, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01316547 23, 377 (1976).
    • (1976) Z. Phys. B , vol.23 , pp. 377
    • Janssen, H.K.1
  • 62
    • 84956226485 scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/18/7/014
    • M. Mézard and A. P. Young, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/18/7/014 18, 653 (1992).
    • (1992) Europhys. Lett. , vol.18 , pp. 653
    • Mézard, M.1    Young, A.P.2
  • 64
    • 0000088333 scopus 로고    scopus 로고
    • EPJBFY 1434-6028 10.1007/s100510170323
    • E. Brézin and C. De Dominicis, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170323 19, 467 (2001).
    • (2001) Eur. Phys. J. B , vol.19 , pp. 467
    • Brézin, E.1    De Dominicis, C.2
  • 65
    • 0037122289 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.257204
    • G. Parisi and N. Sourlas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.257204 89, 257204 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 257204
    • Parisi, G.1    Sourlas, N.2
  • 66
    • 0032257040 scopus 로고    scopus 로고
    • PTPSEP 0375-9687 10.1143/PTPS.131.395
    • T. R. Morris, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 10.1143/PTPS.131.395 131, 395 (1998).
    • (1998) Prog. Theor. Phys. Suppl. , vol.131 , pp. 395
    • Morris, T.R.1
  • 67
    • 0004245694 scopus 로고
    • edited by M. Abramowitz and I. A. Stegun (Dover, New York
    • Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. A. Stegun, (Dover, New York, 1964).
    • (1964) Handbook of Mathematical Functions
  • 68
    • 33746728272 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.74.064402
    • Y. Sakamoto, H. Mukaida, and C. Itoi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.064402 74, 064402 (2006).
    • (2006) Phys. Rev. B , vol.74 , pp. 064402
    • Sakamoto, Y.1    Mukaida, H.2    Itoi, C.3


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