5 research outputs found
Analyzing the success of T-matrix diagrammatic theories in representing a modified Hubbard model
We present a systematic study of various forms of renormalization that can be
applied in the calculation of the self-energy of the Hubbard model within the
T-matrix approximation. We compare the exact solutions of the attractive and
repulsive Hubbard models, for linear chains of lengths up to eight sites, with
all possible taxonomies of the T-matrix approximation. For the attractive
Hubbard model, the success of a minimally self-consistent theory found earlier
in the atomic limit (Phys. Rev. B 71, 155111 (2005)) is not maintained for
finite clusters unless one is in the very strong correlation limit. For the
repulsive model, in the weak correlation limit at low electronic densities --
that is, where one would expect a self-consistent T-matrix theory to be
adequate -- we find the fully renormalized theory to be most successful. In our
studies we employ a modified Hubbard interaction that eliminates all Hartree
diagrams, an idea which was proposed earlier (Phys. Rev. B 63, 035104 (2000)).Comment: Includes modified discussion of 1st-order phase transition. Accepted
for publication in J. Phys.: Condensed Matte
Evidence for precursor superconducting pairing above T c in underdoped cuprates from an analysis of the in-plane infrared response
We performed calculations of the in-plane infrared response of underdoped cuprate superconductors to clarify the origin of a characteristic dip feature which occurs in the published experimental spectra of the real part of the in-plane conductivity below an onset temperature considerably higher than . We provide several arguments, based on a detailed comparison of our results with the published experimental data, confirming that the dip feature and the related features of the memory function (a peak in M1 and a kink in M2) are due to superconducting pairing correlations that develop below . In particular, we show that (i) the dip feature, the peak and the kink of the low-temperature experimental data can be almost quantitatively reproduced by calculations based on a model of a d-wave superconductor. The formation of the dip feature in the experimental data below is shown to be analogous to the one occurring in the model spetra below . (ii) Calculations based on simple models, for which the dip in the temperature range from to is unrelated to superconducting pairing, predict a shift of the onset of the dip at the high-energy side upon entering the superconducting state, that is not observed in the experimental data; (iii) the conductivity data in conjunction with the recent photoemission data (Reber et al 2012 Nat. Phys. 8 606, Reber et al 2013 Phys. Rev. B 87 060506) imply the persistence of the coherence factor characteristic of superconducting pairing correlations in a range of temperatures above
Stability of condensate in superconductors
According to the BCS theory the superconducting condensate develops in a
single quantum mode and no Cooper pairs out of the condensate are assumed. Here
we discuss a mechanism by which the successful mode inhibits condensation in
neighboring modes and suppresses a creation of noncondensed Cooper pairs. It is
shown that condensed and noncondensed Cooper pairs are separated by an energy
gap which is smaller than the superconducting gap but large enough to prevent
nucleation in all other modes and to eliminate effects of noncondensed Cooper
pairs on properties of superconductors. Our result thus justifies basic
assumptions of the BCS theory and confirms that the BCS condensate is stable
with respect to two-particle excitations