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M. Potthoff, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00121-8 32, 429 (2003). (Pubitemid 41201102)
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Potthoff, M.1
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Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
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DOI 10.1140/epjb/e2003-00352-7
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M. Potthoff, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00352-7 36, 335 (2003). (Pubitemid 41200919)
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European Physical Journal B
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Potthoff, M.1
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57
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80053596469
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note
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bic. (See Fig..)
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58
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80053603999
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note
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Obviously, the uncorrelated leads can be solved exactly without being partitioned into clusters.
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60
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33744518241
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JMAPAQ 0022-2488 10.1063/1.1703727
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J. Schwinger, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703727 2, 407 (1961).
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Schwinger, J.1
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62
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80053609447
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In the time representation, they also include convolutions over internal times. However, since we are considering the steady state, Green's functions become diagonal in the frequency representation.
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64
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80053592298
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A B refers to a submatrix of m in which the left (right) index is restricted to region A (B), with A, B = c, l, or r.
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65
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80053615824
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For simplicity, we consider all hoppings to be real.
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66
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80053608176
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C C. In this case, the solution of Eq.is trivially obtained by taking the leads as auxiliary baths.
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67
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80053598422
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This condition corresponds to a generalized Hartree self-consistence. It physically amounts to requirement that certain "generalized densities" (more specifically, some elements of the single-particle density matrix) coincide in the unperturbed and in the perturbed systems, so that the effect of the perturbation is minimized. Which terms should coincide is determined by the choice of the variational parameters. Notice that by using the coupling to the bath sites as variational parameters, one can also require dynamical contributions to the Green's function to coincide.
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68
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1 is present in the trace.
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71
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79551627709
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PRBMDO 1098-0121 10.1103/PhysRevB.83.035307
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L. Chioncel, I. Leonov, H. Allmaier, F. Beiuseanu, E. Arrigoni, T. Jurcut, and W. Pötz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83. 035307 83, 035307 (2011).
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Chioncel, L.1
Leonov, I.2
Allmaier, H.3
Beiuseanu, F.4
Arrigoni, E.5
Jurcut, T.6
Pötz, W.7
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72
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33847298662
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JMMMDC 0304-8853 10.1016/j.jmmm.2006.10.304
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A. Albuquerque, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/j.jmmm.2006.10.304 310, 1187 (2007).
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Albuquerque, A.1
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note
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For cluster-DMFT, all spectral functions here, Δ, A, etc., are matrices in cluster sites. Therefore Im is understood as the antihermitian part and Re as the hermitian part of such matrices. The v n ± are column vectors in cluster sites.
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