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Volumn 70, Issue 7, 2004, Pages

Functional renormalization group for Luttinger liquids with impurities

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DENSITY; ENERGY; FERMION; LIQUID; MATHEMATICAL ANALYSIS; OSCILLATION; PARTICLE SIZE; SPECTROSCOPY; TEMPERATURE;

EID: 19544370348     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.075102     Document Type: Article
Times cited : (87)

References (40)
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  • 10
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    • see Ref. 1, Chap. 10
    • For a review on isolated impurities in Luttinger liquids, see Ref. 1, Chap. 10.
  • 11
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    • to be published
    • For a recent comprehensive review of the DMRG, see U. Schollwöck, Rev. Mod. Phys. (to be published).
    • Rev. Mod. Phys.
    • Schollwöck, U.1
  • 13
    • 0000301951 scopus 로고    scopus 로고
    • First computational applications of the fRG to Fermi systems were performed for the 2D Hubbard model, see D. Zanchi and H. J. Schulz, Phys. Rev. B 61, 13609 (2000); C. J. Halboth and W. Metzner, ibid. 61, 7364 (2000); C. Honerkamp, M. Salmhofer, N. Furukawa, and T. M. Rice, ibid. 63, 5109 (2001).
    • (2000) Phys. Rev. B , vol.61 , pp. 13609
    • Zanchi, D.1    Schulz, H.J.2
  • 14
    • 4244177059 scopus 로고    scopus 로고
    • First computational applications of the fRG to Fermi systems were performed for the 2D Hubbard model, see D. Zanchi and H. J. Schulz, Phys. Rev. B 61, 13609 (2000); C. J. Halboth and W. Metzner, ibid. 61, 7364 (2000); C. Honerkamp, M. Salmhofer, N. Furukawa, and T. M. Rice, ibid. 63, 5109 (2001).
    • (2000) Phys. Rev. B , vol.61 , pp. 7364
    • Halboth, C.J.1    Metzner, W.2
  • 15
    • 0035130915 scopus 로고    scopus 로고
    • First computational applications of the fRG to Fermi systems were performed for the 2D Hubbard model, see D. Zanchi and H. J. Schulz, Phys. Rev. B 61, 13609 (2000); C. J. Halboth and W. Metzner, ibid. 61, 7364 (2000); C. Honerkamp, M. Salmhofer, N. Furukawa, and T. M. Rice, ibid. 63, 5109 (2001).
    • (2001) Phys. Rev. B , vol.63 , pp. 5109
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  • 17
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    • V. Meden, W. Metzner, U. Schollwöck, and K. Schönhammer, Phys. Rev. B 65, 045318 (2002); J. Low Temp. Phys. 126, 1147 (2002).
    • (2002) J. Low Temp. Phys. , vol.126 , pp. 1147
  • 20
    • 0035530111 scopus 로고    scopus 로고
    • For generic interacting Fermi systems, a concise derivation of the full hierarchy of flow equations is presented by M. Salmhofer and C. Honerkamp, Prog. Theor. Phys. 105, 1 (2001).
    • (2001) Prog. Theor. Phys. , vol.105 , pp. 1
    • Salmhofer, M.1    Honerkamp, C.2
  • 25
    • 5444225097 scopus 로고    scopus 로고
    • note
    • Vertex renormalization has already been applied in two letters on transport properties, Refs. 20 and 21, but without any derivation of the method.
  • 28
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    • C. N. Yang and C. P. Yang, Phys. Rev. 150, 321 (1966); 150, 327 (1966).
    • (1966) Phys. Rev. , vol.150 , pp. 327
  • 36
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    • I. E. Dzyaloshinskii and A. I. Larkin, Zh. Eksp. Teor. Fiz. 65, 411 (1973) [Sov. Phys. JETP 38, 202 (1974)]; W. Metzner and C. Di Castro, Phys. Rev. B 47, 16107 (1993).
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  • 37
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    • I. E. Dzyaloshinskii and A. I. Larkin, Zh. Eksp. Teor. Fiz. 65, 411 (1973) [Sov. Phys. JETP 38, 202 (1974)]; W. Metzner and C. Di Castro, Phys. Rev. B 47, 16107 (1993).
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    • Metzner, W.1    Di Castro, C.2
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    • For a pedagogical review on the inverse of symmetric tridiagonal matrices, see G. Meurant, SIAM J. Matrix Anal. Appl. 13, 707 (1992).
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  • 40
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    • Ph.D. thesis, University of Stuttgart, unpublished
    • For more details, see T. Enss, Ph.D. thesis, University of Stuttgart, 2004 (unpublished).
    • (2004)
    • Enss, T.1


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