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arXiv 0812.3039cond-mat.supr-concond-mat.str-el
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MgB2超导体热导率中Tc以下的驼峰结构

Hump Structure below Tc in the thermal conductivity of MgB2 superconductor

R. Lal, Arpita Vajpayee, V. P. S. Awana, H. Kishan, A. M. Awasthi

摘要:

MgB_2在超导转变温度(Tc)以下的热导率不存在驼峰结构的合理原因在于多能隙结构的出现。较低量级的能隙可以被缺陷抑制,使得该系统有效地成为单能隙超导体。当这样的情况产生时,希望热导率将在Tc以下显示驼峰。沿着这些线进行,已经发现具有相对较高的剩余电阻率(33.3毫欧姆-厘米)的MgB 2样品在Tc以下显示出驼峰结构。在所考虑的温度范围内,该样品的实际电子热导率kel比根据Wiedeman-Franz定律预期的电子热导率小2.6倍以上。通过用有效洛伦兹数Leff(L0)代替洛伦兹数,修正了电子贡献的Wiedeman-Franz定律,我们得到了两组kel,即Leff = 0.1L0和0.2L0的kel。对应于这两组kel,得到了两组声子热导率kph。kph已被分析的一个扩展的Barnes-Rickayzen-Tewordt理论。该分析的主要结果是驼峰结构对应于3.5的间隙比,并且大的电子-点缺陷散射是电子热导率从通常的Wiedeman-Franz定律给出的热导率急剧降低的主要来源。

英文摘要:

A reasonable cause of absence of hump structure in thermal conductivity of MgB2 below the superconducting transition temperature (Tc) lies in the appearance of multigap structure. The gaps of lower magnitude can be suppressed by defects so that this system becomes effectively a single gap superconductor. When such a situation is created, it is hoped that thermal conductivity will show hump below Tc. Proceeding along these lines, a sample of MgB2 with a relatively higher residual resistivity (33.3 mili-Ohm-cm)has been found to show a hump structure below Tc. The actual electronic thermal conductivity kel of this sample is less than that expected from the Wiedeman- Franz law by more than a factor of 2.6 in the considered temperature range. Modifying the Wiedeman- Franz law for the electronic contribution by replacing the Lorenz number by an effective Lorenz number Leff (L0) we have obtained two sets of kel, namely those with Leff = 0.1L0 and 0.2L0. Corresponding to these two sets of kel, two sets of the phonon thermal conductivity kph are obtained. kph has been analyzed in terms of an extended Bardeen- Rickayzen- Tewordt theory. The main result of this analysis is that the hump structure corresponds to a gap ratio of 3.5, and that large electron-point defect scattering is the main source of drastic reduction of the electronic thermal conductivity from that given by the usual Wiedeman- Franz law.

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