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Volumn 112, Issue 7, 2014, Pages

Criticality and quenched disorder: Harris criterion versus rare regions

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; KINETICS; PHASE TRANSITION; QUANTUM THEORY; THEORETICAL MODEL;

EID: 84894784436     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.075702     Document Type: Article
Times cited : (90)

References (34)
  • 1
    • 0042974048 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/7/9/009
    • A. B. Harris, J. Phys. C 7, 1671 (1974). JPSOAW 0022-3719 10.1088/0022-3719/7/9/009
    • (1974) J. Phys. C , vol.7 , pp. 1671
    • Harris, A.B.1
  • 3
    • 0014667053 scopus 로고
    • 3a, 17 (); PRLTAO 0031-9007 10.1103/PhysRevLett.23.17 3b, Phys. Rev. Lett. 23, 383 (1969). PRLTAO 0031-9007 10.1103/PhysRevLett.23.383
    • R. B. Griffiths, Phys. Rev. Lett. 23, 17 (1969); PRLTAO 0031-9007 10.1103/PhysRevLett.23.17 3b B. M. McCoy, Phys. Rev. Lett. 23, 383 (1969). PRLTAO 0031-9007 10.1103/PhysRevLett.23.383
    • (1969) Phys. Rev. Lett. , vol.23
    • Griffiths, R.B.1    McCoy, B.M.2
  • 5
    • 84894693752 scopus 로고    scopus 로고
    • d R R counts the dimensions (including imaginary time at a quantum phase transition) in which the rare region is infinite. d c - is the dimension at and below which the transition does not exist because the ordered phase is destroyed by fluctuations
    • d R R counts the dimensions (including imaginary time at a quantum phase transition) in which the rare region is infinite. d c-is the dimension at and below which the transition does not exist because the ordered phase is destroyed by fluctuations.
  • 6
    • 33646893732 scopus 로고    scopus 로고
    • Rare region effects at classical, quantum and nonequilibrium phase transitions
    • DOI 10.1088/0305-4470/39/22/R01, PII S030544700619126X
    • T. Vojta, J. Phys. A 39, R143 (2006); JPHAC5 0305-4470 10.1088/0305-4470/39/22/R01 6b T. Vojta, J. Low Temp. Phys. 161, 299 (2010). JLTPAC 0022-2291 10.1007/s10909-010-0205-4 (Pubitemid 43785961)
    • (2006) Journal of Physics A: Mathematical and General , vol.39 , Issue.22
    • Vojta, T.1
  • 7
    • 36149004829 scopus 로고
    • 7a, 178 (); PHRVAO 0031-899X 10.1103/PhysRev.64.178 7b, Phys. Rev. B 24, 5229 (1981). PRBMDO 0163-1829 10.1103/PhysRevB.24.5229
    • J. Ashkin and E. Teller, Phys. Rev. 64, 178 (1943); PHRVAO 0031-899X 10.1103/PhysRev.64.178 7b M. Kohmoto, M. den Nijs, and L. P. Kadanoff, Phys. Rev. B 24, 5229 (1981). PRBMDO 0163-1829 10.1103/PhysRevB.24.5229
    • (1943) Phys. Rev. , vol.64
    • Ashkin, J.1    Teller, E.2    Kohmoto, M.3    Den Nijs, M.4    Kadanoff, L.P.5
  • 8
    • 0034334818 scopus 로고    scopus 로고
    • Non-equilibrium critical phenomena and phase transitions into absorbing states
    • DOI 10.1080/00018730050198152
    • H. Hinrichsen, Adv. Phys. 49, 815 (2000); ADPHAH 0001-8732 10.1080/00018730050198152 8b G. Odor, Rev. Mod. Phys. 76, 663 (2004). RMPHAT 0034-6861 10.1103/RevModPhys.76.663 (Pubitemid 35381843)
    • (2000) Advances in Physics , vol.49 , Issue.7 , pp. 815-958
    • Hinrichsen, H.1
  • 9
    • 58149325975 scopus 로고
    • PHYADX 0378-4371 10.1016/0378-4371(94)00247-Q
    • M. Thill and D. A. Huse, Physica (Amsterdam) 214A, 321 (1995). PHYADX 0378-4371 10.1016/0378-4371(94)00247-Q
    • (1995) Physica (Amsterdam) , vol.214 , pp. 321
    • Thill, M.1    Huse, D.A.2
  • 10
    • 25744458207 scopus 로고
    • 10a, 6411 (); PRBMDO 0163-1829 10.1103/PhysRevB.51.6411 10b, Phys. Rev. B 54, 3328 (1996). PRBMDO 0163-1829 10.1103/PhysRevB.54.3328
    • D. S. Fisher, Phys. Rev. B 51, 6411 (1995); PRBMDO 0163-1829 10.1103/PhysRevB.51.6411 10b H. Rieger and A. P. Young, Phys. Rev. B 54, 3328 (1996). PRBMDO 0163-1829 10.1103/PhysRevB.54.3328
    • (1995) Phys. Rev. B , vol.51
    • Fisher, D.S.1    Rieger, H.2    Young, A.P.3
  • 11
    • 34548040368 scopus 로고
    • 11a, 1165 (); PLRBAQ 0556-2805 10.1103/PhysRevB.14.1165 11b, Phys. Rev. B 48, 7183 (1993). PRBMDO 0163-1829 10.1103/PhysRevB.48.7183
    • J. Hertz, Phys. Rev. B 14, 1165 (1976); PLRBAQ 0556-2805 10.1103/PhysRevB.14.1165 11b A. J. Millis, Phys. Rev. B 48, 7183 (1993). PRBMDO 0163-1829 10.1103/PhysRevB.48.7183
    • (1976) Phys. Rev. B , vol.14
    • Hertz, J.1    Millis, A.J.2
  • 12
    • 0001243351 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.77.5292
    • T. Senthil and S. Sachdev, Phys. Rev. Lett. 77, 5292 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.5292
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 5292
    • Senthil, T.1    Sachdev, S.2
  • 14
    • 84894697990 scopus 로고    scopus 로고
    • As the rare region is embedded in a paramagnetic bulk, it has fluctuating boundary conditions. However, this should not affect the functional form of the FSS law
    • As the rare region is embedded in a paramagnetic bulk, it has fluctuating boundary conditions. However, this should not affect the functional form of the FSS law.
  • 15
    • 84894719472 scopus 로고    scopus 로고
    • Thill and Huse used a similar integral in their seminal study of the quantum Ising spin glass [9]
    • Thill and Huse used a similar integral in their seminal study of the quantum Ising spin glass [9].
  • 16
    • 84894882514 scopus 로고    scopus 로고
    • Note that a c vanishes for zero disorder (r h = r l) and increases with increasing disorder strength
    • Note that a c vanishes for zero disorder (r h = r l) and increases with increasing disorder strength.
  • 17
    • 84894775530 scopus 로고    scopus 로고
    • This follows because the scale dimension of the disorder strength b 2 at the clean critical point is 2 / ν - d [34]
    • This follows because the scale dimension of the disorder strength b 2 at the clean critical point is 2 / ν-d [34].
  • 18
    • 84894879690 scopus 로고    scopus 로고
    • A strong-disorder renormalization group predicts z ′ to diverge at criticality. However, saturation at a finite value may occur for weaker disorder [19]
    • A strong-disorder renormalization group predicts z ′ to diverge at criticality. However, saturation at a finite value may occur for weaker disorder [19].
  • 19
    • 0035981061 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.277201
    • E. Carlon, P. Lajkó, and F. Iglói, Phys. Rev. Lett. 87, 277201 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.277201
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 277201
    • Carlon, E.1    Lajkó, P.2    Iglói, F.3
  • 20
    • 0019931021 scopus 로고
    • 20a, 15 (); JPAHER 0302-0738 10.1051/jphys:0198200430101500 20b, Phys. Lett. B 264, 396 (1991). PYLBAJ 0370-2693 10.1016/0370-2693(91)90367-Y
    • E. Brezin, J. Phys. II (France) 43, 15 (1982); JPAHER 0302-0738 10.1051/jphys:0198200430101500 20b R. Kenna and C. B. Lang, Phys. Lett. B 264, 396 (1991). PYLBAJ 0370-2693 10.1016/0370-2693(91)90367-Y
    • (1982) J. Phys. II (France) , vol.43
    • Brezin, E.1    Kenna, R.2    Lang, C.B.3
  • 21
    • 84864942713 scopus 로고    scopus 로고
    • NUPBBO 0550-3213 10.1016/j.nuclphysb.2012.07.021
    • B. Berche, R. Kenna, and J.-C. Walter, Nucl. Phys. B865, 115 (2012). NUPBBO 0550-3213 10.1016/j.nuclphysb.2012.07.021
    • (2012) Nucl. Phys. , vol.865 , pp. 115
    • Berche, B.1    Kenna, R.2    Walter, J.-C.3
  • 22
    • 70449421553 scopus 로고    scopus 로고
    • 22 See also the appendix of, () P08014. JSMTC6 1742-5468 10.1088/1742-5468/2009/08/P08014
    • See also the appendix of T. Sarlat, A. Billoire, G. Biroli, and J.-P. Bouchaud, J. Stat. Mech. (2009) P08014. JSMTC6 1742-5468 10.1088/1742-5468/2009/ 08/P08014
    • J. Stat. Mech. , vol.2009
    • Sarlat, T.1    Billoire, A.2    Biroli, G.3    Bouchaud, J.-P.4
  • 23
    • 0000829680 scopus 로고
    • APBYAE 0091-1798 10.1214/aop/1176996493
    • T. E. Harris, Ann. Probab. 2, 969 (1974). APBYAE 0091-1798 10.1214/aop/1176996493
    • (1974) Ann. Probab. , vol.2 , pp. 969
    • Harris, T.E.1
  • 25
    • 0012582012 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(79)90207-0
    • P. Grassberger and A. de la Torre, Ann. Phys. (N.Y.) 122, 373 (1979). APNYA6 0003-4916 10.1016/0003-4916(79)90207-0
    • (1979) Ann. Phys. (N.Y.) , vol.122 , pp. 373
    • Grassberger, P.1    De La Torre, A.2
  • 28
    • 28844479086 scopus 로고    scopus 로고
    • Critical behavior and Griffiths effects in the disordered contact process
    • DOI 10.1103/PhysRevE.72.036126, 036126
    • T. Vojta and M. Dickison, Phys. Rev. E 72, 036126 (2005); PLEEE8 1539-3755 10.1103/PhysRevE.72.036126 28b T. Vojta, A. Farquhar, and J. Mast, Phys. Rev. E 79, 011111 (2009); PLEEE8 1539-3755 10.1103/PhysRevE.79.011111 28c T. Vojta, Phys. Rev. E 86, 051137 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86. 051137 (Pubitemid 41778164)
    • (2005) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.72 , Issue.3 , pp. 1-9
    • Vojta, T.1    Dickison, M.2
  • 31
    • 3242661989 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.237003
    • S. Sachdev, P. Werner, and M. Troyer, Phys. Rev. Lett. 92, 237003 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.237003
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 237003
    • Sachdev, S.1    Werner, P.2    Troyer, M.3
  • 32
    • 36749015643 scopus 로고    scopus 로고
    • Effects of dissipation on a quantum critical point with disorder
    • DOI 10.1103/PhysRevLett.99.230601
    • J. A. Hoyos, C. Kotabage, and T. Vojta, Phys. Rev. Lett. 99, 230601 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.230601 32b T. Vojta, C. Kotabage, and J. A. Hoyos, Phys. Rev. B 79, 024401 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.024401 (Pubitemid 350212777)
    • (2007) Physical Review Letters , vol.99 , Issue.23 , pp. 230601
    • Hoyos, J.A.1    Kotabage, C.2    Vojta, T.3
  • 33
    • 79961121923 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.174207
    • I. A. Kovács and F. Iglói, Phys. Rev. B 83, 174207 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.174207
    • (2011) Phys. Rev. B , vol.83 , pp. 174207
    • Kovács, I.A.1    Iglói, F.2


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