Abstract
By using a theory that includes antiferromagnectic short-ranged correlations, recent experiments on the high-transition temperature (high-T c ) cuprate superconductors like photoemission, tunneling measurements, and the doping dependence of T c can be understood. In particular for tnrclerdoped compounds, we find the formation of shadows of the Fermi surface, k-dependent pseudogap structures in the excitation spectrum and by considering interlayer effects a blocking of the c-axis charge transport as precursors of the antiferromagnetic phase transition.
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References
E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).
D. J. Scalapino, Phys. Rep. 250, 331 (1995).
S. Chakravarty et al., Science 261, 337 (1993);
P. W. Anderson, Science 268, 1154 (1995);
P. W. Anderson, Science 256, 1526 (1992).
P. Aebi et al., Phys. Rev. Lett. 72, 2757 (1994).
Z. X. Shen and D. S. Dessau, Phys. Rep. 253, 1 (1995).
D. S. Marshall et al., Phys. Rev. Lett. 76, 4841 (1996);
A. G. Loeser et al.,to be published in Science.
D. S. Desau et al., Phys. Rev. Lett. 66, 2160 (1991).
J. M. Tranquada et al., Phys. Rev. B 46, 5561 (1992).
S. L. Cooper and K. E. Gray, in Physical Properties of High-T„ Superconductors IV, edited by D. M. Ginsberg ( World Scientific, Singapore, 1994 ).
Although the LSCO system has only one layer within a unit cell, the nearest-neighbor planes from different cells are antiferromagnetically correlated. However, this intercell coupling is much smaller than the bilayer effects in YBCO.
The FS of this model dispersion is similar to the LSCO system. Nevertheless we can draw similar physical conclusion by using bare dispersion that are more appropriate for YBCO or BSCCO or by taking a k-dependent EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSaaaeaaca % aIXaaabaGaaGinaaaacaWG0bWaaSbaaSqaaiabgwQiEbqabaGcdaWa % daqaaiGacogacaGGVbGaai4CamaabmaabaGaam4AamaaBaaaleaaca % WG4baabeaaaOGaayjkaiaawMcaaiabgkHiTiGacogacaGGVbGaai4C % amaabmaabaGaam4AamaaBaaaleaacaWG5baabeaaaOGaayjkaiaawM % caaaGaay5waiaaw2faaiaaikdaaaa!4AF7!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$ \frac{1}{4}{t_ \bot }\left[ {\cos \left( {{k_x}} \right) - \cos \left( {{k_y}} \right)} \right]2 $$.
O. K. Andersen et al., J. Phys. Chem. Solids 56, 1573 (1995).
We carefully checked the dependence of our results on U and t ⊥,but found no physical significant changes in our data up to values of U = 6t and for t ⊥ = 0.1 − 0.8t. However, t ⊥ = 0.4t was suggested by LDA calculations for YBCO.
N. E. Bickers et al., Phys. Rev. Lett. 62, 961 (1989).
P. Monthoux et al., Phys. Rev. Lett. 72, 1874 (1994);
C. H. Bickers et al., Phys. Rev. Lett. 72, 1870 (1994);
T. Dahm et al., Phys. Rev. Lett. 74, 793 (1995).
S. Grabowski, M. Langer, J. Schmalian, and K. H. Bennemann, Europhys. Lett. 34, 219 (1996).
In bilayer systems we only considered intraband Cooper formation. This refers to even parity pairing with respect to the bilayer inversion symmetry yielding Δ⊥(k, ω) 0 and a larger T c than the odd (interband) pairing state with Δ⊥(k, ω) = 0. See also J. Maly et al., Phys. Rev. B 53, 6786 (1996). The actual calculations were performed on a (64 × 64) square lattice with an energy resolution of 0.014t ≈ 4 meV. The numerical procedure is described in J. Schmalian, M. langer, S. Grabowski, and K. H. Bennemann, Comp. Phys. Comm. 93, 141 (1996).
Note that τ −1(k, ω) generates naturally an energy and consequently a temperature scale for the magnetic excitations. By comparing the doping dependence and the absolute magnitude of τ −1(k, ω) at the FS and the Fermi energy with the characteristic temperature T AF observed in transport measurements for LSCO by H. Y. Hwang et al., Phys. Rev. Lett. 72, 2636 (1994), we find an excellent agreement with the experimental data.
The reason for the optimal doping in our results is physically different from the antiferromagnetic van Hove scenario (AFVH) by Dagotto et al., Phys. Rev. Lett. 74, 310 (1995). In the AFVH approach T c becomes maximal when the peak in the momentum averaged density of states ϱ(ω) crosses the Fermi level, but is not dependent on lifetime effects and the variation of the pairing interaction on doping.
H. Ding et al., Phys. Rev. Lett. 76, 1533 (1996).
D. Mandrus et al., Nature 351, 460 (1991).
R. J. Radtke et al., Phys. Rev. B 53, R552 (1996).
A. P. Kampf et al., Phys. Rev. B 42, 7967 (1990).
M. Langer, J. Schmalian, S. Grabowski, and K. H. Bennemann, Phys. Rev. Lett. 75, 4508 (1995).
V. J. Emery and S. A. Kivelson, Nature 374, 434 (1995).
S. Doniach and M. Inni, Phys. Rev. B 41, 6668 (1990).
We acknowledge the financial support of the DFG, thank Z. X. Shen for sending us his papers prior to publication and E. Dagotto for useful discussions.
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Grabowski, S., Schmalian, J., Bennemann, K.H. (1998). Spin Fluctuation Effects in High-T c Superconductors. In: Morán-López, J.L. (eds) Current Problems in Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9924-8_1
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