메뉴 건너뛰기




Volumn 70, Issue 14, 2004, Pages

Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BOSON; CORRELATION ANALYSIS; ELECTRON; INSULATOR ELEMENT; LIQUID; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PHASE TRANSITION; QUANTUM MECHANICS;

EID: 42749106520     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.144407     Document Type: Article
Times cited : (1024)

References (87)
  • 3
    • 84924581223 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, England
    • S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 1999).
    • (1999) Quantum Phase Transitions
    • Sachdev, S.1
  • 5
    • 0001611134 scopus 로고    scopus 로고
    • F. F. Assaad, M. Imada, and D. J. Scalapino, Phys. Rev. Lett. 77, 4592 (1996); Phys. Rev. B 56, 15 001 (1997).
    • (1997) Phys. Rev. B , vol.56 , pp. 15001
  • 18
    • 35949011991 scopus 로고
    • S. A. Kivelson, D. S. Rokhsar, and J. P. Sethna, Phys. Rev. B 35, 8865 (1987); E. Fradkin and S. A. Kivelson, Mod. Phys. Lett. B 4, 225 (1990).
    • (1990) Mod. Phys. Lett. B , vol.4 , pp. 225
    • Fradkin, E.1    Kivelson, S.A.2
  • 24
    • 1842466007 scopus 로고    scopus 로고
    • edited by V. Schollwock, J. Richter, D. J. J. Farnell, and R. A. Bishop, Lecture Notes in Physics (Springer, New York)
    • S. Sachdev, in Quantum Magnetism, edited by V. Schollwock, J. Richter, D. J. J. Farnell, and R. A. Bishop, Lecture Notes in Physics (Springer, New York, 2004).
    • (2004) Quantum Magnetism
    • Sachdev, S.1
  • 28
    • 33847536978 scopus 로고
    • A. D'Adda, P. Di Vecchia, and M. Luscher, Nucl. Phys. B 146, 63 (1978); E. Witten, ibid. 149, 285 (1979).
    • (1979) Nucl. Phys. B , vol.149 , pp. 285
    • Witten, E.1
  • 30
    • 1842450382 scopus 로고    scopus 로고
    • N.Y.
    • E. Fradkin, D. A. Huse, R. Moessner, V. Oganesyan, and S. L. Sondhi, Phys. Rev. B 69, 224415 (2004); E. Ardonne, P. Fendley, and E. Fradkin, Ann. Phys. (N.Y.) 310, 493 (2004).
    • (2004) Ann. Phys. , vol.310 , pp. 493
    • Ardonne, E.1    Fendley, P.2    Fradkin, E.3
  • 36
    • 4243882120 scopus 로고    scopus 로고
    • H. Kleinert, F. S. Nogueira, and A. Sudbø, Phys. Rev. Lett. 88, 232001 (2002); Nucl. Phys. B 666, 316 (2003).
    • (2003) Nucl. Phys. B , vol.666 , pp. 316
  • 40
    • 11144245842 scopus 로고    scopus 로고
    • note
    • It seems likely that the nonrelativistic, spinon Fermi-surface state discussed in Ref. 34 is unlikely to behave like a critical system, and so will not suppress instantons without fine tuning.
  • 43
    • 4243341428 scopus 로고
    • X. G. Wen and A. Zee, Phys. Rev. Lett. 61, 1025 (1988); E. Fradkin and M. Stone, Phys. Rev. B 38, 7215 (1988); T. Dombre and N. Read, ibid. 38, 7181 (1988).
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 1025
    • Wen, X.G.1    Zee, A.2
  • 44
    • 0001277605 scopus 로고
    • X. G. Wen and A. Zee, Phys. Rev. Lett. 61, 1025 (1988); E. Fradkin and M. Stone, Phys. Rev. B 38, 7215 (1988); T. Dombre and N. Read, ibid. 38, 7181 (1988).
    • (1988) Phys. Rev. B , vol.38 , pp. 7215
    • Fradkin, E.1    Stone, M.2
  • 45
    • 0000228890 scopus 로고
    • X. G. Wen and A. Zee, Phys. Rev. Lett. 61, 1025 (1988); E. Fradkin and M. Stone, Phys. Rev. B 38, 7215 (1988); T. Dombre and N. Read, ibid. 38, 7181 (1988).
    • (1988) Phys. Rev. B , vol.38 , pp. 7181
    • Dombre, T.1    Read, N.2
  • 47
    • 11144244582 scopus 로고    scopus 로고
    • note
    • At large N even the single monopole operator is irrelevant so that even without Berry phases a deconfined critical fixed point is obtained. However, this is special to large N and does not hold at N=1 (or in the easy-plane limit at N=2).
  • 52
    • 4243412577 scopus 로고
    • E. Dagotto and A. Moreo, Phys. Rev. Lett. 63, 2148 (1989); R. R. P. Singh and R. Narayanan, ibid. 65, 1072 (1990); H. J. Schulz and T. A. L. Ziman, Europhys. Lett. 18, 355 (1992); H. J. Schulz, T. A. L. Ziman, and D. Poilblanc, J. Phys. I 6, 675 (1996).
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 2148
    • Dagotto, E.1    Moreo, A.2
  • 53
    • 0642346685 scopus 로고
    • E. Dagotto and A. Moreo, Phys. Rev. Lett. 63, 2148 (1989); R. R. P. Singh and R. Narayanan, ibid. 65, 1072 (1990); H. J. Schulz and T. A. L. Ziman, Europhys. Lett. 18, 355 (1992); H. J. Schulz, T. A. L. Ziman, and D. Poilblanc, J. Phys. I 6, 675 (1996).
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1072
    • Singh, R.R.P.1    Narayanan, R.2
  • 54
    • 84908855577 scopus 로고
    • E. Dagotto and A. Moreo, Phys. Rev. Lett. 63, 2148 (1989); R. R. P. Singh and R. Narayanan, ibid. 65, 1072 (1990); H. J. Schulz and T. A. L. Ziman, Europhys. Lett. 18, 355 (1992); H. J. Schulz, T. A. L. Ziman, and D. Poilblanc, J. Phys. I 6, 675 (1996).
    • (1992) Europhys. Lett. , vol.18 , pp. 355
    • Schulz, H.J.1    Ziman, T.A.L.2
  • 55
    • 0030134939 scopus 로고    scopus 로고
    • E. Dagotto and A. Moreo, Phys. Rev. Lett. 63, 2148 (1989); R. R. P. Singh and R. Narayanan, ibid. 65, 1072 (1990); H. J. Schulz and T. A. L. Ziman, Europhys. Lett. 18, 355 (1992); H. J. Schulz, T. A. L. Ziman, and D. Poilblanc, J. Phys. I 6, 675 (1996).
    • (1996) J. Phys. I , vol.6 , pp. 675
    • Schulz, H.J.1    Ziman, T.A.L.2    Poilblanc, D.3
  • 56
    • 0001326970 scopus 로고    scopus 로고
    • V. N. Kotov, J. Oitmaa, O. P. Sushkov, and Z. Weihong, Phys. Rev. B 60, 14613 (1999); ibid. 60, 7278 (1999);, ibid. 61, 11 820 (2000); O. P. Sushkov, J. Oitmaa, and Z. Weihong, ibid. 66, 054401 (2002).
    • (1999) Phys. Rev. B , vol.60 , pp. 14613
    • Kotov, V.N.1    Oitmaa, J.2    Sushkov, O.P.3    Weihong, Z.4
  • 57
    • 11144229087 scopus 로고    scopus 로고
    • V. N. Kotov, J. Oitmaa, O. P. Sushkov, and Z. Weihong, Phys. Rev. B 60, 14613 (1999); ibid. 60, 7278 (1999);, ibid. 61, 11 820 (2000); O. P. Sushkov, J. Oitmaa, and Z. Weihong, ibid. 66, 054401 (2002).
    • (1999) Phys. Rev. B , vol.60 , pp. 7278
  • 58
    • 0000300636 scopus 로고    scopus 로고
    • V. N. Kotov, J. Oitmaa, O. P. Sushkov, and Z. Weihong, Phys. Rev. B 60, 14613 (1999); ibid. 60, 7278 (1999);, ibid. 61, 11 820 (2000); O. P. Sushkov, J. Oitmaa, and Z. Weihong, ibid. 66, 054401 (2002).
    • (2000) Phys. Rev. B , vol.61 , pp. 11820
  • 59
    • 10944237504 scopus 로고    scopus 로고
    • V. N. Kotov, J. Oitmaa, O. P. Sushkov, and Z. Weihong, Phys. Rev. B 60, 14613 (1999); ibid. 60, 7278 (1999);, ibid. 61, 11 820 (2000); O. P. Sushkov, J. Oitmaa, and Z. Weihong, ibid. 66, 054401 (2002).
    • (2002) Phys. Rev. B , vol.66 , pp. 054401
    • Sushkov, O.P.1    Oitmaa, J.2    Weihong, Z.3
  • 67
    • 0001593045 scopus 로고    scopus 로고
    • R. Jalabert and S. Sachdev, Phys. Rev. B 44, 686 (1991); S. Sachdev and M. Vojta, J. Phys. Soc. Jpn. 69, Suppl. B, 1 (2000).
    • (1991) Phys. Rev. B , vol.44 , pp. 686
    • Jalabert, R.1    Sachdev, S.2
  • 68
    • 0001593045 scopus 로고    scopus 로고
    • R. Jalabert and S. Sachdev, Phys. Rev. B 44, 686 (1991); S. Sachdev and M. Vojta, J. Phys. Soc. Jpn. 69, Suppl. B, 1 (2000).
    • (2000) J. Phys. Soc. Jpn. , vol.69 , Issue.SUPPL. B , pp. 1
    • Sachdev, S.1    Vojta, M.2
  • 76
    • 0034909980 scopus 로고    scopus 로고
    • T. Senthil and Matthew P. A. Fisher, Phys. Rev. Lett. 86, 292 (2001); Phys. Rev. B 63, 134521 (2001).
    • (2001) Phys. Rev. B , vol.63 , pp. 134521
  • 80
    • 0036143546 scopus 로고    scopus 로고
    • R. Moessner and S. L. Sondhi, Phys. Rev. Lett. 86, 1881 (2001); and E. Fradkin, Phys. Rev. B 65, 024504 (2002).
    • (2002) Phys. Rev. B , vol.65 , pp. 024504
    • Fradkin, E.1
  • 85
    • 11144225732 scopus 로고    scopus 로고
    • note
    • 2, and so the single Higgs field model in Eq. (8.1) can apply. In the SU(2) invariant models on the square lattice of Ref. 62, the two-Higgs field model in Eq. (8.3) is necessary.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.