Browsing by Subject "High temperature superconductors."

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Open Access
Impurity effects and symmetry of the order parameter in high-temperature oxide superconductors
(1997) Bayındır, Mehmet
Identification of the symmetry of the order parameter (OP) of high-l'c cuprates is important because it helps to understand possible mechanism that govern the physics of these materials. However, up to now, there is no consensus on the symmetry of the OP. On the other hand, nonmagnetic impurity substitutions would test the symmetry of OP. Present theoretical calculations overestimate suppression of the critical temperature (by a factor of 2 or more) in comparison to the experimental data. So far, differences between zinc [Zn) and nickel {Ni) substitutions have not been well understood. Considering the above arguments, effects of nonmagnetic impurities on the high-temperature cuprates are investigated by solving the Bogoliulpv-de Gennes (BdG) equations on two-dimensional square lattice. The critical impurity concentration is found to be very close to the experimental values. Possibility of extracting the symmetry of OP from the obtained results is discussed. Finiteranged impurity potentials and different potential strengths for different impurities are proposed to explain differences between Zn and Ni substitutions. Finally, it is concluded that our results are in favor of d-wave symmetry for tetragonal and s+d-wave symmetry for orthorhombic phase, and explain quite well the effects of nonmagnetic impurity substitutions in the high-7'c oxide superconductors. Beside these, the physical properties of the high-temperature oxide superconductors, the BdG equations and effects of nonmagnetic impurities on isotropic and anisotropic superconductors are reviewed.
Open Access
Phonon anomalies in high temperature superconductors
(1996) Türeci, E Hakan
Anomalously large low temperature phonon anharmonicities can lead to static as well as dynamical changes in the low temperature properties of the vibrational system. In this work, we focus our attention on the low temperature lattice anharmonicity and its effect on the electron-phonon ground state. We are, in particular, motivated by certain high temperature superconductors. The third and fourth order anharmonic coupling constants for YBCO, LBCO and several other superconducting compounds are extracted from their measured elastic constants using the anharmonic elastic continuum model. The coupling constants are then used to extract the average anharmonic potential energy for the transverse and longitudinal modes in the Cu-0 planes. We find that, anharmonic contribution to the lattice potential relative to the harmonic one is unusually high for all examined high Tc compounds. The presence of anharmonic phonons elicits non-perturbative dynamical effects in the ground state of the electron-phonon system. Phonon correlations induced by anharmonic effects enhance the electron-phonon interaction which then create a self-consistent mechanism to act back on the ground state of the electron-phonón system. In result, strong momentum correlations are created and the ground state comprises fluctuating polarons. The zero point fluctuations and other ground state properties are obtained by self-consistent numerical calculations. The influence of low temperature phonon anharmonicity on the superconducting properties in the intermediate coupling range is also investigated. It is shown that, the otherwise bare electron-phonon coupling is strengthened in the presence of correlated polarons and the zero point fluctuations are enhanced. Within this frame, it is plausible to achieve superconducting transition temperatures as high as %20 of the characteristic vibrational energy scale. The non-perturbative, self-consistent formalism thus introduced also offers an account for the recently observed temperature anomalies near Tc in the Debye-Waller factor and dynamical pair correlations of certain high temperature superconductors.
Open Access
Strongly correlated models of high-temperature superconductivity
(1999) Boyacı, Hüseyin
Son zamanlarda nanometrc büyüklüğündeki örneklerle ya|)dan tek ek'ktron ta.^ınma deneyleri, üstün iletkenlerin büyüklüklerinin alt sının ile ilgili soruyu yeniden gündeme getirmiştir, iler ne kadar, belirsiz tanecik sayısına dayalı standart BCS teorisi büyük örnekler için iyi sonuçlar vermekteyse de, nanometrc^ büyüklüğündeki örnekler için bu teorinin bazı temel noktalan tc^krar gözdi'iı geçirilmelidir. Bunun iıcin, sabit sayıda parçacık için bir eşleşme IIamiItoni;uı'ı, l'ernıi seviyesi etrafındaki dejenerasyon da göz önüne alınarak incelenmiştir. Dejenera.syona bağlı olarak, eşleşme etkisinin değişimi tartışılmıştır. İkinci bölümde, atomların elektron yörüngelerindeki daralmanın, eıı yakın komşular arasındaki atlama genliğine olan etkisini göz önüne alan bir ınodc'l llamiltonian üzerinde çalışılmıştır. Bu çalışma, zayıf etkileşim limitinde' analitik olarak, orta ve güçlü etkileşim limitlerinde ise sonlu bir atom geoiiK'trisinde sayısal hesaplama ile yapılmıştır. Atom sitelerindeki deşik yerleşiminin yörünge'sel daralmaya etkileri V ve W (to|)lam ve çarpım daralma terimleri) ('tkih'şim parametreleri ile verilmektedir. Çift parçacık Creen fonksiyonundaki belirsizlik noktası, kritik sıcaklık Tc’yj ve Tc üzerinde düzen parametresinin rahatlama hızı r (7 ’) ’yi belirlemektedir. Standart BCS üstımiletkenleriiıdeiı Farklı olarak, r sıfırdan farklı imajiner bir kısma sahiptir. Bu, nstiiailetkenin 7'^. lizeriıuh'ki direııciııin dalgalanmaları üzerine etki ediyor olabilir, 'lemel dnrmn ('iK'ijisi, parçacık sayısı ve manyetik akıya göre hesaplanmı.'jtır. Bir eı^leşnıe |)aramctresi olan A ,,’nin, Cooper kararsızlığı ile aynı bölgede ortaya çıktığı gösteriImiı^tiı·. llııbbard modeli {U > 0) ile yapılan hesaplar herhangi bir dolnInk değerinde hiçbir üstün iletkanlik özelliği göstermemiştir.