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A. El Azruak, R. Nahoum, N. Bontemps, M. Guilloux-Viry, C. Thivet, A. Perrin, S. Labdi, Z. Z. Li, and H. Raffy, Phys. Rev. B 49, 9846 (1994).
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cond-mat/9611238 (unpublished)
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For further references, see the review R. S. Markiewicz, cond-mat/9611238 (unpublished).
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Markiewicz, R.1
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0346987313
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E. Majorana, Nuovo Cimento 14, 171 (1937). Such an object can always be constructed as a linear combination of two charged fermions (Formula presented)
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Majorana, E.1
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Physics, Geometry, and Topology, Vol. 238 of NATO Advanced Study Institute, Series B: Physics
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Affleck, I.1
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0030528685
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See the review of A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996). All other technical points about MFT mentioned in our paper is explained in detail here.
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Rev. Mod. Phys.
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Georges, A.1
Kotliar, G.2
Krauth, W.3
Rozenberg, M.4
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0000800335
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A. Georges and G. Kotliar, Phys. Rev. B 45, 6479 (1992). We modify their algorithm slightly by doing the self-consistency loop with the spectral weights (Formula presented) rather than (Formula presented) and the self-consistency equations become (Formula presented)
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Phys. Rev. B
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Georges, A.1
Kotliar, G.2
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25
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0001101293
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We have done a (Formula presented), order (Formula presented) calculation of the imaginary part of the self-energy (Formula presented) to check explicitly our large d results. To avoid complications from nesting or Van Hove singularities, we used a circular Fermi surface. We find to leading order in (Formula presented) and in (Formula presented) that at (Formula presented), (Formula presented) which is indeed the (Formula presented) Fermi-liquid result. The calculation proceeds in the same way as in the weak-coupling Hubbard model, see, e.g., C. Hodges, H. Smith, and J. W. Wilkins, Phys. Rev. B 4, 302 (1971).
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Phys. Rev. B
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Smith, H.2
Wilkins, J.3
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G.-M. Zhang, A. C. Hewson, and R. Bulla, cond-mat/9705199, 1997 (unpublished).
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Hewson, A.1
Bulla, R.2
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29
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85037920290
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For a large-d treatment of the two-channel Kondo lattice, see M. Jarell, H. Pang, D. L. Cox, F. Anders, and A. Chattopadhyay, cond-mat/9609146, 1996 (unpublished).
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Jarell, M.1
Pang, H.2
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Chattopadhyay, A.5
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30
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0001269574
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D. L. Cox and M. Jarell, J. Phys.: Condens. Matter 8, 9825 (1996). It should be noted that our model here, although inspired by the compactified version of the single impurity two-channel Kondo model, bears no simple relation to the two-channel Kondo lattice.
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J. Phys.: Condens. Matter
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Cox, D.1
Jarell, M.2
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32
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85037895440
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see also a detailed discussion of this point in the review D. L. Cox and A. Zawadowski, cond-mat/9704103, 1997 (unpublished).
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(1997)
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Cox, D.1
Zawadowski, A.2
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0347399326
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See, e.g., M. S. Hybertsen, M. Schlüter, and N. E. Christensen, Phys. Rev. B 39, 9028 (1989). They estimated U on copper sites to be around 10.5 eV, versus oxygen-copper hopping ∼1.3 eV.
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Phys. Rev. B
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Hybertsen, M.1
Schlüter, M.2
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Academic Press, London
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I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic Press, London, 1994), No. 4.384.2.
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Table of Integrals, Series, and Products, 5th ed.
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Gradshteyn, I.1
Ryzhik, I.2
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