메뉴 건너뛰기




Volumn 72, Issue 3, 2005, Pages

Collective fields in the functional renormalization group for fermions, Ward identities, and the exact solution of the Tomonaga-Luttinger model

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33749159319     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.035107     Document Type: Article
Times cited : (75)

References (96)
  • 1
    • 33744714950 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.28.548
    • K. G. Wilson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.28. 548 28, 548 (1972).
    • (1972) Phys. Rev. Lett. , vol.28 , pp. 548
    • Wilson, K.G.1
  • 3
    • 0032393880 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.70.653
    • For a recent review with historical remarks see M. E. Fisher, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.653 70, 653 (1998).
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 653
    • Fisher, M.E.1
  • 5
    • 0000969558 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.8.401
    • F. J. Wegner and A. Houghton, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.401 8, 401 (1973).
    • (1973) Phys. Rev. a , vol.8 , pp. 401
    • Wegner, F.J.1    Houghton, A.2
  • 8
    • 0000781850 scopus 로고
    • 0375-9601 10.1016/0375-9601(77)90417-0
    • J. F. Nicoll and T. S. Chang, Phys. Lett. A 0375-9601 10.1016/0375-9601(77)90417-0 62, 287 (1977).
    • (1977) Phys. Lett. a , vol.62 , pp. 287
    • Nicoll, J.F.1    Chang, T.S.2
  • 9
    • 0000776648 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(92)90041-W
    • T. S. Chang, D. D. Vvedensky, and J. F. Nicoll, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(92)90041-W 217, 279 (1992).
    • (1992) Phys. Rep. , vol.217 , pp. 279
    • Chang, T.S.1    Vvedensky, D.D.2    Nicoll, J.F.3
  • 10
    • 34548040368 scopus 로고
    • PLRBAQ 0556-2805 10.1103/PhysRevB.14.1165
    • J. A. Hertz, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.1165 14, 1165 (1976).
    • (1976) Phys. Rev. B , vol.14 , pp. 1165
    • Hertz, J.A.1
  • 12
    • 0000915229 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.53.14364
    • T. R. Kirkpatrick, and D. Belitz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.14364 53, 14364 (1996);
    • (1996) Phys. Rev. B , vol.53 , pp. 14364
    • Kirkpatrick, T.R.1    Belitz, D.2
  • 17
    • 0035499944 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.64.174407
    • A. Rosch, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.174407 64, 174407 (2001).
    • (2001) Phys. Rev. B , vol.64 , pp. 174407
    • Rosch, A.1
  • 20
    • 12044253929 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.66.129
    • R. Shankar, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.129 66, 129 (1994).
    • (1994) Rev. Mod. Phys. , vol.66 , pp. 129
    • Shankar, R.1
  • 21
    • 0000567275 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.54.9509
    • D. Zanchi and H. J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.9509 54, 9509 (1996);
    • (1996) Phys. Rev. B , vol.54 , pp. 9509
    • Zanchi, D.1    Schulz, H.J.2
  • 22
    • 0032531645 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i1998-00462-x
    • D. Zanchi and H. J. Schulz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1998-00462-x 44, 235 (1998);
    • (1998) Europhys. Lett. , vol.44 , pp. 235
    • Zanchi, D.1    Schulz, H.J.2
  • 23
    • 0000301951 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.61.13609
    • D. Zanchi and H. J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.13609 61, 13609 (2000);
    • (2000) Phys. Rev. B , vol.61 , pp. 13609
    • Zanchi, D.1    Schulz, H.J.2
  • 24
    • 0035413525 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2001-00413-7
    • D. Zanchi and H. J. Schulz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00413-7 55, 376 (2001).
    • (2001) Europhys. Lett. , vol.55 , pp. 376
    • Zanchi, D.1    Schulz, H.J.2
  • 25
    • 4244177059 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.61.7364
    • C. J. Halboth and W. Metzner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.7364 61, 7364 (2000);
    • (2000) Phys. Rev. B , vol.61 , pp. 7364
    • Halboth, C.J.1    Metzner, W.2
  • 26
    • 0034429027 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.85.5162
    • C. J. Halboth and W. Metzner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5162 85, 5162 (2000).
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 5162
    • Halboth, C.J.1    Metzner, W.2
  • 28
  • 29
    • 0035508996 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.64.184516
    • C. Honerkamp and M. Salmhofer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.184516 64, 184516 (2001);
    • (2001) Phys. Rev. B , vol.64 , pp. 184516
    • Honerkamp, C.1    Salmhofer, M.2
  • 30
    • 0035968825 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.187004
    • C. Honerkamp and M. Salmhofer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.187004 87, 187004 (2001).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 187004
    • Honerkamp, C.1    Salmhofer, M.2
  • 32
    • 0035887411 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.64.155101
    • P. Kopietz and T. Busche, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.155101 64, 155101 (2001).
    • (2001) Phys. Rev. B , vol.64 , pp. 155101
    • Kopietz, P.1    Busche, T.2
  • 34
    • 0042309560 scopus 로고    scopus 로고
    • JCOMEL 0953-8984 10.1088/0953-8984/15/27/309
    • S. Ledowski and P. Kopietz, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/27/309 15, 4779 (2003).
    • (2003) J. Phys.: Condens. Matter , vol.15 , pp. 4779
    • Ledowski, S.1    Kopietz, P.2
  • 35
    • 0035720246 scopus 로고    scopus 로고
    • CJPHAD 0008-4204 10.1139/cjp-79-11-12-1463
    • S. W. Tsai and B. Marston, Can. J. Phys. CJPHAD 0008-4204 10.1139/cjp-79-11-12-1463 79, 1463 (2001).
    • (2001) Can. J. Phys. , vol.79 , pp. 1463
    • Tsai, S.W.1    Marston, B.2
  • 36
    • 0002717493 scopus 로고    scopus 로고
    • EPJBFY. 1434-6028. 10.1007/s10051-002-8902-7
    • B. Binz, D. Baeriswyl, and B. Douçot, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s10051-002-8902-7 25, 69 (2002);
    • (2002) Eur. Phys. J. B , vol.25 , pp. 69
    • Binz, B.1    Baeriswyl, D.2    Douçot, B.3
  • 37
    • 0347528812 scopus 로고    scopus 로고
    • ANPYA2. 0003-3804. 10.1002/andp.200310033
    • B. Binz, D. Baeriswyl, and B. Douçot, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.200310033 12, 704 (2004).
    • (2004) Ann. Phys. , vol.12 , pp. 704
    • Binz, B.1    Baeriswyl, D.2    Douçot, B.3
  • 40
    • 0038558413 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.67.125104
    • A. P. Kampf and A. A. Katanin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.125104 67, 125104 (2003);
    • (2003) Phys. Rev. B , vol.67 , pp. 125104
    • Kampf, A.P.1    Katanin, A.A.2
  • 41
    • 0346333071 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.68.195101
    • A. A. Katanin and A. P. Kampf, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.195101 68, 195101 (2003);
    • (2003) Phys. Rev. B , vol.68 , pp. 195101
    • Katanin, A.A.1    Kampf, A.P.2
  • 42
    • 19544363397 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.106406
    • A. A. Katanin and A. P. Kampf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.106406 93, 106406 (2004);
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 106406
    • Katanin, A.A.1    Kampf, A.P.2
  • 43
    • 27144444173 scopus 로고    scopus 로고
    • cond-mat/0408246.
    • cond-mat/0408246.
  • 44
    • 19744382305 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.70.115109
    • A. A. Katanin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.115109 70, 115109 (2004).
    • (2004) Phys. Rev. B , vol.70 , pp. 115109
    • Katanin, A.A.1
  • 45
    • 0002101282 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(93)90726-X
    • C. Wetterich, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(93)90726-X 301, 90 (1993).
    • (1993) Phys. Lett. B , vol.301 , pp. 90
    • Wetterich, C.1
  • 46
    • 0001303808 scopus 로고
    • IMPAEF 0217-751X 10.1142/S0217751X94000972
    • T. R. Morris, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/ S0217751X94000972 9, 2411 (1994).
    • (1994) Int. J. Mod. Phys. a , vol.9 , pp. 2411
    • Morris, T.R.1
  • 47
    • 4344667750 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.68.075115
    • A. Ferraz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.075115 68, 075115 (2003);
    • (2003) Phys. Rev. B , vol.68 , pp. 075115
    • Ferraz, A.1
  • 48
    • 28644447804 scopus 로고    scopus 로고
    • PRBMDO. 0163-1829. 10.1103/PhysRevB.71.165113
    • H. Freire, E. Corrêa, and A. Ferraz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.165113 71, 165113 (2005).
    • (2005) Phys. Rev. B , vol.71 , pp. 165113
    • Freire, H.1    Corrêa, E.2    Ferraz, A.3
  • 49
    • 0037263565 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2003-00223-5
    • A. Ferraz, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00223-5 61, 228 (2003).
    • (2003) Europhys. Lett. , vol.61 , pp. 228
    • Ferraz, A.1
  • 52
    • 0141676131 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.91.066402
    • W. Metzner, D. Rohe, and S. Andergassen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.066402 91, 066402 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 066402
    • Metzner, W.1    Rohe, D.2    Andergassen, S.3
  • 54
    • 0000810373 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.118.41
    • W. Kohn and J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.41 118, 41 (1960);
    • (1960) Phys. Rev. , vol.118 , pp. 41
    • Kohn, W.1    Luttinger, J.M.2
  • 55
    • 36149026363 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.119.1153
    • J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.119.1153 119, 1153 (1960).
    • (1960) Phys. Rev. , vol.119 , pp. 1153
    • Luttinger, J.M.1
  • 56
    • 0003605204 scopus 로고
    • Addison-Wesley Advanced Book Classics, Redwood City, CA
    • D. Pines and P. Nozières, The Theory of Quantum Liquids (Addison-Wesley Advanced Book Classics, Redwood City, CA, 1989), Vol. I.
    • (1989) The Theory of Quantum Liquids , vol.1
    • Pines, D.1    Nozières, P.2
  • 58
    • 27144539359 scopus 로고    scopus 로고
    • cond-mat/0208361v3.
    • C. Wetterich, cond-mat/0208361v3.
    • Wetterich, C.1
  • 60
    • 14944372775 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.70.125111
    • T. Baier, E. Bick, and C. Wetterich, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.125111 70, 125111 (2004).
    • (2004) Phys. Rev. B , vol.70 , pp. 125111
    • Baier, T.1    Bick, E.2    Wetterich, C.3
  • 61
    • 2442526277 scopus 로고    scopus 로고
    • Clarendon Press, Oxford
    • For an up to date review on one-dimensional Fermi systems see the recent book by T. Giamarchi, Quantum Physics in One Dimension (Clarendon Press, Oxford, 2004).
    • (2004) Quantum Physics in One Dimension
    • Giamarchi, T.1
  • 62
    • 4344648736 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/14/19/010
    • F. D. M. Haldane, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/14/19/010 14, 2585 (1981).
    • (1981) J. Phys. C , vol.14 , pp. 2585
    • Haldane, F.D.M.1
  • 63
    • 0004146228 scopus 로고
    • World Scientific, Singapore
    • M. Stone, Bosonization (World Scientific, Singapore, 1994).
    • (1994) Bosonization
    • Stone, M.1
  • 67
  • 68
    • 3343026045 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.67.3852
    • C. Di Castro and W. Metzner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3852 67, 3852 (1991);
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 3852
    • Di Castro, C.1    Metzner, W.2
  • 69
    • 0000904984 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.47.16107
    • W. Metzner and C. Di Castro, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.16107 47, 16107 (1992).
    • (1992) Phys. Rev. B , vol.47 , pp. 16107
    • Metzner, W.1    Di Castro, C.2
  • 74
    • 84940043791 scopus 로고
    • ADPHAH 0001-8732
    • J. Solyom, Adv. Phys. ADPHAH 0001-8732 28, 201 (1979).
    • (1979) Adv. Phys. , vol.28 , pp. 201
    • Solyom, J.1
  • 77
    • 36149016819 scopus 로고
    • PRVAAH 0096-8250 10.1103/PhysRev.139.A796
    • L. Hedin, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.139.A796 139A, 796 (1965);
    • (1965) Phys. Rev. , vol.139 , pp. 796
    • Hedin, L.1
  • 78
    • 0003694231 scopus 로고
    • Effects of electron-electron and electron-phonon interactions on the one-electron states of solids," in edited by F. Seitz, D. Turnbull and H. Ehrenreich (Academic Press, New York
    • L. Hedin and S. Lundquist, " Effects of electron-electron and electron-phonon interactions on the one-electron states of solids, " in Solid State Physics, edited by, F. Seitz,,, D. Turnbull, and, H. Ehrenreich, (Academic Press, New York, 1969), Vol. 23.
    • (1969) Solid State Physics , vol.23
    • Hedin, L.1    Lundquist, S.2
  • 80
    • 84856128544 scopus 로고
    • Luttinger's theorem and bosonization of the Fermi surface,) in Course 121, 1992, edited by R. Schrieffer and R. A. Broglia (North Holland, New York
    • (Luttinger's theorem and bosonization of the Fermi surface,) in Proceedings of the International School of Physics "Enrico Fermi," Course 121, 1992, edited by, R. Schrieffer, and, R. A. Broglia, (North Holland, New York, 1994).
    • (1994) Proceedings of the International School of Physics "enrico Fermi,"
  • 81
    • 4243775740 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.59.5377
    • L. Bartosch and P. Kopietz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.5377 59, 5377 (1999).
    • (1999) Phys. Rev. B , vol.59 , pp. 5377
    • Bartosch, L.1    Kopietz, P.2
  • 82
    • 36149041307 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/9/20/011
    • H. C. Fogedby, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/9/20/011 9, 3757 (1976).
    • (1976) J. Phys. C , vol.9 , pp. 3757
    • Fogedby, H.C.1
  • 83
    • 0000812164 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/21/22/018
    • D. K. K. Lee and Y. Chen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/21/22/018 21, 4155 (1988).
    • (1988) J. Phys. a , vol.21 , pp. 4155
    • Lee, D.K.K.1    Chen, Y.2
  • 84
    • 4043072177 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.69.061601
    • S. Ledowski, N. Hasselmann, and P. Kopietz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.061601 69, 061601 (R) (2004);
    • (2004) Phys. Rev. a , vol.69 , pp. 061601
    • Ledowski, S.1    Hasselmann, N.2    Kopietz, P.3
  • 85
    • 42749103672 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.70.063621
    • N. Hasselmann, S. Ledowski, and P. Kopietz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.063621 70, 063621 (2004).
    • (2004) Phys. Rev. a , vol.70 , pp. 063621
    • Hasselmann, N.1    Ledowski, S.2    Kopietz, P.3
  • 86
    • 0001678422 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.29.1514
    • For D>1 the coupling γ l becomes irrelevant with scaling dimension -(D-1) 2. If we formally treat D-1 as a small parameter, it might be possible to study the stability of the Luttinger liquid fixed point by means of an expansion in powers of =D-1. Previously, K. Ueda and T. M. Rice, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.1514 29, 1514 (1984), attempted to construct such an expansion within the field theoretical RG method.
    • (1984) Phys. Rev. B , vol.29 , pp. 1514
    • Ueda, K.1    Rice, T.M.2
  • 87
    • 0000537780 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.80.1924
    • In deriving Eqs. d4.33 d4.35, we have set the fixed point value r * of the relevant coupling r l equal to zero, which amounts to a redefinition of the bare coupling constant. Otherwise, r * would explicitly appear in Eqs. d4.33 d4.35. Setting r *=0 seems to correspond to the usual normal ordering with respect to the filled Dirac sea in the solution of the TLM via bosonization. In general, the functional dependence of η on the interaction beyond the leading term in the weak coupling expansion depends on the regularization procedure; see H. J. Schulz and B. S. Shastry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1924 80, 1924 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1924
    • Schulz, H.J.1    Shastry, B.S.2
  • 88
    • 0034631251 scopus 로고    scopus 로고
    • IJPBEV 0217-9792 10.1016/S0217-9792(00)00155-2
    • T. Busche and P. Kopietz, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1016/S0217-9792(00)00155-2 14, 1481 (2000).
    • (2000) Int. J. Mod. Phys. B , vol.14 , pp. 1481
    • Busche, T.1    Kopietz, P.2
  • 89
    • 0000152638 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.50.14048
    • B. L. Altshuler, L. B. Ioffe, and A. J. Millis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.14048 50, 14048 (1994).
    • (1994) Phys. Rev. B , vol.50 , pp. 14048
    • Altshuler, B.L.1    Ioffe, L.B.2    Millis, A.J.3
  • 90
    • 0001032864 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.55.9452
    • D. Belitz, T. R. Kirkpatrick, and T. Vojta, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.9452 55, 9452 (1997).
    • (1997) Phys. Rev. B , vol.55 , pp. 9452
    • Belitz, D.1    Kirkpatrick, T.R.2    Vojta, T.3
  • 91
    • 2542484981 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.68.155113
    • A. V. Chubukov and D. L. Maslov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.155113 68, 155113 (2003);
    • (2003) Phys. Rev. B , vol.68 , pp. 155113
    • Chubukov, A.V.1    Maslov, D.L.2
  • 92
    • 2542445710 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.147003
    • A. V. Chubukov, C. Pepin, and J. Rech, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.147003 92, 147003 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 147003
    • Chubukov, A.V.1    Pepin, C.2    Rech, J.3
  • 93
    • 16344363634 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.71.085105
    • A. A. Katanin, A. P. Kampf, and V. Yu. Irkhin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.085105 71, 085105 (2005).
    • (2005) Phys. Rev. B , vol.71 , pp. 085105
    • Katanin, A.A.1    Kampf, A.P.2    Yu. Irkhin, V.3
  • 94
    • 0037368801 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.67.092403
    • L. Bartosch, M. Kollar, and P. Kopietz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.092403 67, 092403 (2003).
    • (2003) Phys. Rev. B , vol.67 , pp. 092403
    • Bartosch, L.1    Kollar, M.2    Kopietz, P.3
  • 95
    • 69649108806 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.066401
    • K. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.066401 93, 066401 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 066401
    • Yang, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.