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Volumn 73, Issue 22, 2006, Pages

Strong Griffiths singularities in random systems and their relation to extreme value statistics

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EID: 33745673149     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.224206     Document Type: Article
Times cited : (46)

References (52)
  • 1
    • 0014667053 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.23.17
    • R. B. Griffiths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 23.17 23, 17 (1969).
    • (1969) Phys. Rev. Lett. , vol.23 , pp. 17
    • Griffiths, R.B.1
  • 2
    • 33744614344 scopus 로고
    • PLRBAQ 0556-2805 10.1103/PhysRevB.12.203
    • A. B. Harris, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.12.203 12, 203 (1975).
    • (1975) Phys. Rev. B , vol.12 , pp. 203
    • Harris, A.B.1
  • 3
    • 0038972578 scopus 로고    scopus 로고
    • For reviews, see: edited by M. Rubi and C. Perez-Vicente, Lecture Notes in Physics Vol. Springer-Verlag, Heidelberg
    • For reviews, see: H. Rieger and A. P. Young, in Complex Behavior of Glassy Systems, edited by, M. Rubi, and, C. Perez-Vicente,, Lecture Notes in Physics Vol. 492 (Springer-Verlag, Heidelberg, 1997) p. 256;
    • (1997) Complex Behavior of Glassy Systems , vol.492 , pp. 256
    • Rieger, H.1    Young, A.P.2
  • 4
    • 0003975020 scopus 로고    scopus 로고
    • edited by A. P. Young (World Scientific, Singapore
    • R. N. Bhatt, in Spin Glasses and Random Fields, edited by, A. P. Young, (World Scientific, Singapore, 1998).
    • (1998) Spin Glasses and Random Fields
    • Bhatt, R.N.1
  • 5
    • 3343000261 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.69.534
    • D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 534 69, 534 (1992);
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 534
    • Fisher, D.S.1
  • 6
    • 25744458207 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.51.6411
    • D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.6411 51, 6411 (1995).
    • (1995) Phys. Rev. B , vol.51 , pp. 6411
    • Fisher, D.S.1
  • 7
    • 0014558652 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.23.383
    • B. McCoy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.23.383 23, 383 (1969).
    • (1969) Phys. Rev. Lett. , vol.23 , pp. 383
    • McCoy, B.1
  • 8
    • 0003854601 scopus 로고    scopus 로고
    • edited by C. Domb and. J. L. Lebowitz. Academic Press, San Diego
    • G. M. Schütz, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, San Diego, 2001), Vol. 19.
    • (2001) Phase Transitions and Critical Phenomena , vol.19
    • Schütz, G.M.1
  • 9
    • 0034349243 scopus 로고    scopus 로고
    • BJPHE6 0103-9733 10.1590/S0103-97332000000100009
    • J. Krug, Braz. J. Phys. BJPHE6 0103-9733 10.1590/S0103-97332000000100009 30, 97 (2000).
    • (2000) Braz. J. Phys. , vol.30 , pp. 97
    • Krug, J.1
  • 10
    • 0030489368 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i1996-00180-y
    • M. R. Evans, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1996-00180-y 36, 13 (1996).
    • (1996) Europhys. Lett. , vol.36 , pp. 13
    • Evans, M.R.1
  • 11
    • 0002789119 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.78.3039
    • G. Tripathy and M. Barma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3039 78, 3039 (1997);
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3039
    • Tripathy, G.1    Barma, M.2
  • 12
    • 4243740606 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.58.1911
    • G. Tripathy and M. Barma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.1911 58, 1911 (1998).
    • (1998) Phys. Rev. e , vol.58 , pp. 1911
    • Tripathy, G.1    Barma, M.2
  • 13
    • 18244368724 scopus 로고    scopus 로고
    • PRLTAO. 0031-9007. 10.1103/PhysRevLett.94.010601
    • R. Juhász, L. Santen, and F. Iglói, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.010601 94, 010601 (2005).
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 010601
    • Juhász, R.1    Santen, L.2    Iglói, F.3
  • 15
    • 28844464403 scopus 로고    scopus 로고
    • PLEEE8. 1063-651X. 10.1103/PhysRevE.72.046129
    • R. Juhász, L. Santen, and F. Iglói, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046129 72, 046129 (2005).
    • (2005) Phys. Rev. e , vol.72 , pp. 046129
    • Juhász, R.1    Santen, L.2    Iglói, F.3
  • 16
    • 41349121131 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.70.066124
    • M. R. Evans, T. Hanney, and Y. Kafri, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066124 70, 066124 (2004).
    • (2004) Phys. Rev. e , vol.70 , pp. 066124
    • Evans, M.R.1    Hanney, T.2    Kafri, Y.3
  • 17
    • 0034334818 scopus 로고    scopus 로고
    • ADPHAH 0001-8732 10.1080/00018730050198152
    • H. Hinrichsen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730050198152 49, 815 (2000).
    • (2000) Adv. Phys. , vol.49 , pp. 815
    • Hinrichsen, H.1
  • 18
  • 19
    • 42749108006 scopus 로고    scopus 로고
    • PLEEE8. 1063-651X. 10.1103/PhysRevE.69.066140
    • J. Hooyberghs, F. Iglói, and C. Vanderzande, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066140 69, 066140 (2004).
    • (2004) Phys. Rev. e , vol.69 , pp. 066140
    • Hooyberghs, J.1    Iglói, F.2    Vanderzande, C.3
  • 20
    • 28844479086 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.72.036126
    • Th. Vojta and M. Dickison, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036126 72, 036126 (2005).
    • (2005) Phys. Rev. e , vol.72 , pp. 036126
    • Vojta, Th.1    Dickison, M.2
  • 21
    • 33645525844 scopus 로고    scopus 로고
    • PLEEE8. 1063-651X. 10.1103/PhysRevE.73.036130
    • G. Ódor and N. Menyhárd, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.036130 73, 036130 (2006).
    • (2006) Phys. Rev. e , vol.73 , pp. 036130
    • Ódor, G.1    Menyhárd, N.2
  • 24
    • 0035473975 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.64.046121
    • D. S. Dean and S. N. Majumdar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.046121 64, 046121 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 046121
    • Dean, D.S.1    Majumdar, S.N.2
  • 25
    • 19144370767 scopus 로고    scopus 로고
    • For a review, see: PRPLCM. 0370-1573. 10.1016/j.physrep.2005.02.006
    • For a review, see: F. Iglói and C. Monthus, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.02.006 412, 277 (2005).
    • (2005) Phys. Rep. , vol.412 , pp. 277
    • Iglói, F.1    Monthus, C.2
  • 26
    • 0009312947 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.53.8486
    • A. P. Young and H. Rieger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.8486 53, 8486 (1996).
    • (1996) Phys. Rev. B , vol.53 , pp. 8486
    • Young, A.P.1    Rieger, H.2
  • 27
    • 33744583732 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(70)90270-8
    • P. Pfeuty, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(70)90270- 8 57, 79 (1970).
    • (1970) Ann. Phys. (N.Y.) , vol.57 , pp. 79
    • Pfeuty, P.1
  • 28
    • 0040823758 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.43.1434
    • S.-K. Ma, C. Dasgupta, and C. K. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.43.1434 43, 1434 (1979);
    • (1979) Phys. Rev. Lett. , vol.43 , pp. 1434
    • Ma, S.-K.1    Dasgupta, C.2    Hu, C.K.3
  • 29
    • 33646639173 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.22.1305
    • C. Dasgupta and S.-K. Ma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.22.1305 22, 1305 (1980).
    • (1980) Phys. Rev. B , vol.22 , pp. 1305
    • Dasgupta, C.1    Ma, S.-K.2
  • 30
    • 14344270979 scopus 로고    scopus 로고
    • PRLTAO. 0031-9007. 10.1103/PhysRevLett.86.1343
    • F. Iglói, R. Juhász, and P. Lajkó, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1343 86, 1343 (2001).
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 1343
    • Iglói, F.1    Juhász, R.2    Lajkó, P.3
  • 31
    • 0036472013 scopus 로고    scopus 로고
    • PRBMDO. 0163-1829. 10.1103/PhysRevB.65.064416
    • F. Iglói, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.064416 65, 064416 (2002).
    • (2002) Phys. Rev. B , vol.65 , pp. 064416
    • Iglói, F.1
  • 32
    • 0001340734 scopus 로고    scopus 로고
    • PLEEE8. 1063-651X. 10.1103/PhysRevE.58.4238
    • F. Iglói and H. Rieger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.4238 58, 4238 (1998).
    • (1998) Phys. Rev. e , vol.58 , pp. 4238
    • Iglói, F.1    Rieger, H.2
  • 33
    • 0000114421 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.58.9131
    • D. S. Fisher and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.9131 58, 9131 (1998).
    • (1998) Phys. Rev. B , vol.58 , pp. 9131
    • Fisher, D.S.1    Young, A.P.2
  • 34
    • 0034904571 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.63.134424
    • O. Motrunich, K. Damle, and D. A. Huse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.134424 63, 134424 (2001).
    • (2001) Phys. Rev. B , vol.63 , pp. 134424
    • Motrunich, O.1    Damle, K.2    Huse, D.A.3
  • 35
    • 0000852985 scopus 로고    scopus 로고
    • PRBMDO. 0163-1829. 10.1103/PhysRevB.57.11404
    • F. Iglói and H. Rieger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.11404 57, 11404 (1998).
    • (1998) Phys. Rev. B , vol.57 , pp. 11404
    • Iglói, F.1    Rieger, H.2
  • 36
    • 0001056711 scopus 로고    scopus 로고
    • PRBMDO. 0163-1829. 10.1103/PhysRevB.59.11308
    • F. Iglói, R. Juhász, and H. Rieger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.11308 59, 11308 (1999).
    • (1999) Phys. Rev. B , vol.59 , pp. 11308
    • Iglói, F.1    Juhász, R.2    Rieger, H.3
  • 39
    • 0000740160 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.76.3001
    • T. Senthil and S. N. Majumdar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.3001 76, 3001 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 3001
    • Senthil, T.1    Majumdar, S.N.2
  • 40
    • 33745644570 scopus 로고    scopus 로고
    • Ph.D. thesis. Szeged University
    • R. Juhász, Ph.D. thesis, Szeged University, 2003 (unpublished).
    • (2003)
    • Juhász, R.1
  • 41
    • 0141816835 scopus 로고    scopus 로고
    • PRBMDO. 0163-1829. 10.1103/PhysRevB.68.024424
    • Y.-C. Lin, R. Mélin, H. Rieger, and F. Iglói, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.024424 68, 024424 (2003).
    • (2003) Phys. Rev. B , vol.68 , pp. 024424
    • Lin, Y.-C.1    Mélin, R.2    Rieger, H.3    Iglói, F.4
  • 44
    • 0001111717 scopus 로고    scopus 로고
    • Analogous phenomena can be seen for the bond diluted transverse-field Ising chain, which is separated into disconnected finite clusters and the gap distribution is in a power-law form, see in PHYADX 0378-4371 10.1016/S0378-4371(98)00498-1
    • Analogous phenomena can be seen for the bond diluted transverse-field Ising chain, which is separated into disconnected finite clusters and the gap distribution is in a power-law form, see in D. S. Fisher, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00498-1 263, 222 (1999).
    • (1999) Physica a , vol.263 , pp. 222
    • Fisher, D.S.1
  • 46
    • 0035682422 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.64.066107
    • D. S. Fisher, P. Le Doussal, and C. Monthus, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.066107 64, 66107 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 66107
    • Fisher, D.S.1    Le Doussal, P.2    Monthus, C.3
  • 47
    • 0040522586 scopus 로고    scopus 로고
    • EPJBFY 1434-6028 10.1007/s100510070165
    • C. Monthus, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510070165 13, 111 (2000).
    • (2000) Eur. Phys. J. B , vol.13 , pp. 111
    • Monthus, C.1
  • 48
    • 0002504043 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01048019
    • J. M. Luck, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01048019 72, 417 (1993).
    • (1993) J. Stat. Phys. , vol.72 , pp. 417
    • Luck, J.M.1
  • 49
    • 0344009450 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.68.134441
    • A. Dhar and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.134441 68, 134441 (2003).
    • (2003) Phys. Rev. B , vol.68 , pp. 134441
    • Dhar, A.1    Young, A.P.2
  • 50
    • 1642396745 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.69.054431
    • C. Monthus, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.054431 69, 054431 (2004).
    • (2004) Phys. Rev. B , vol.69 , pp. 054431
    • Monthus, C.1
  • 51
    • 18144376938 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.59.4795
    • P. Le Doussal, C. Monthus, and D. S. Fisher, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.4795 59, 4795 (1999).
    • (1999) Phys. Rev. e , vol.59 , pp. 4795
    • Le Doussal, P.1    Monthus, C.2    Fisher, D.S.3
  • 52
    • 0001245096 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01019492
    • B. Derrida, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01019492 31, 433 (1983).
    • (1983) J. Stat. Phys. , vol.31 , pp. 433
    • Derrida, B.1


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