1996
DOI: 10.1016/0038-1098(95)00842-x
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Theory for the interdependence of high-Tc superconductivity and dynamical spin fluctuations

Abstract: The doping dependence of the superconducting state for the 2D one-band Hubbard Hamiltonian is determined. By using an Eliashberg-type theory, we find that the gap function ∆ k has a d x 2 −y 2 symmetry in momentum space and Tc becomes maximal for 13 % doping. Since we determine the dynamical excitations directly from real frequency axis calculations, we obtain new structures in the angular resolved density of states related to the occurrence of shadow states below Tc. Explaining the anomalous behavior of photo… Show more

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Cited by 13 publications
(8 citation statements)
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“…23,24,25,26,27,28 As an example, we considered the Hubbard model on a triangular lattice, where the Fermi surface becomes disconnected into two pieces centered around the K point and the K ′ point (see Fig.1(a)) when there are a small number of holes (or electrons, depending on the sign of the hopping integral). Using fluctuation exchange (FLEX) approximation 29,30,31 and solving the linearizedÉliashberg equation, we have shown that a finite T c can be obtained for spin-triplet f -wave pairing, where the nodes of the gap run between the Fermi surfaces. 23 We have also confirmed this conclusion 32 using dynamical cluster approximation,…”
Section: 9mentioning
confidence: 99%
“…23,24,25,26,27,28 As an example, we considered the Hubbard model on a triangular lattice, where the Fermi surface becomes disconnected into two pieces centered around the K point and the K ′ point (see Fig.1(a)) when there are a small number of holes (or electrons, depending on the sign of the hopping integral). Using fluctuation exchange (FLEX) approximation 29,30,31 and solving the linearizedÉliashberg equation, we have shown that a finite T c can be obtained for spin-triplet f -wave pairing, where the nodes of the gap run between the Fermi surfaces. 23 We have also confirmed this conclusion 32 using dynamical cluster approximation,…”
Section: 9mentioning
confidence: 99%
“…7,8,9 The values of U , t r , t i will be fixed at U = 6t l , t r = t l , and t i = 0.25t l throughout the study. We define the the band filling n as n =[number of electrons]/[number of sites], so when the bands are both fully filled, the band filling is n = 2.…”
mentioning
confidence: 99%
“…Here, we consider the on-site interaction (U ) term in addition to the above kinetic energy terms, and also take into account the trellis-like lattice structure of the actual cuprate ladder compounds, where the ladders are weakly coupled by diagonal hoppings t i 5,6 We estimate the superconducting transition temperature of this Hubbard model using the combination of the fluctuation exchange method (FLEX) and the Eliashberg equation, which has been successfully applied to the problem of layered high T c cuprates. 7,8,9 The values of U , t r , t i will be fixed at U = 6t l , t r = t l , and t i = 0.25t l throughout the study. We define the the band filling n as n =[number of electrons]/[number of sites], so when the bands are both fully filled, the band filling is n = 2.…”
mentioning
confidence: 99%
“…We take t 1 = −1 throughout the study. We apply the fluctuation exchange (FLEX) approximation [23,24,25], where (i) Dyson's equation is solved to obtain the renormalized Green's function G(k), where k ≡ (k, iǫ n ) denotes the 2D wave-vectors and the Matsubara frequencies, (ii) the effective electron-electron interaction V (1) (q) is calculated by collecting RPA-type bubbles and ladder diagrams consisting of the renormalized Green's function, namely, by summing up powers of the irreducible susceptibility χ irr (q) ≡ − 1 (1) (q), which is substituted into Dyson's equation in (i), and the self-consistent loops are repeated until convergence is attained. Throughout the study, we take up to 64×64 k-point meshes and the Matsubara frequencies ǫ n from −(2N c − 1)πT to (2N c − 1)πT with N c up to 65536 in order to ensure convergence at low temperatures.…”
mentioning
confidence: 99%