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arXiv 0707.4429cond-mat.supr-concond-mat.str-el
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局域密度近似下YBa_2Cu_3O_7中电子-声子耦合和自能效应的动量依赖性

Momentum dependence of the electron-phonon coupling and self-energy effects in YBa_2Cu_3O_7 within the local density approximation

Rolf Heid, Klaus-Peter Bohnen, Roland Zeyher, Dirk Manske

摘要:

使用局域密度近似(LDA)和一个现实的声子谱,我们确定的$α^2F({\bf k},ω)$在YBa $_2$ Cu $_3$ O $_7$的成键,反键,和链带的动量和频率的依赖性。由此产生的自能$Σ$是相当小的费米面附近。例如,对于反键带,作为频率函数的最大值$Re Σ$在正常态的节点处约为7 meV,裸费米速度与重整化费米速度之比为1.18。这些值与表明只有一小部分$Σ$可归因于声子的实验相比小了3-5倍。此外,重整化因子$Z({\bf k},ω)$的频率依赖性是平滑的,并且在观察到的扭结频率处没有异常,这意味着声子不能在化学计量的YBa $_2$ Cu $_3$ O $_7$中产生明显的扭结,至少在LDA内。

英文摘要:

Using the local density approximation (LDA) and a realistic phonon spectrum we determine the momentum and frequency dependence of $α^2F({\bf k},ω)$ in YBa$_2$Cu$_3$O$_7$ for the bonding, antibonding, and chain band. The resulting self-energy $Σ$ is rather small near the Fermi surface. For instance, for the antibonding band the maximum of $Re Σ$ as a function of frequency is about 7 meV at the nodal point in the normal state and the ratio of bare and renormalized Fermi velocities 1.18. These values are a factor 3-5 too small compared to the experiment showing that only a small part of $Σ$ can be attributed to phonons. Furthermore, the frequency dependence of the renormalization factor $Z({\bf k},ω)$ is smooth and has no anomalies at the observed kink frequencies which means that phonons cannot produce well-pronounced kinks in stoichiometric YBa$_2$Cu$_3$O$_7$, at least, within the LDA.

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