What is the energy scale in determining the T<sub>c</sub> of cuprate superconductivity?
Migaku Oda; Naoki Momono; Masayuki Ido; Migaku Oda; Department of Physics, Hokkaido University, Sapporo 060-0810, Japan; Naoki Momono; Department of Physics, Hokkaido University, Sapporo 060-0810, Japan; Masayuki Ido; Department of Physics, Hokkaido University, Sapporo 060-0810, Japan
Журнал:
Superconductor Science and Technology
Дата:
2000-11-01
Аннотация:
For the understanding of the mechanism of a superconducting transition, it is of great interest to clarify what the energy scale in determining the critical temperature T<sub>c</sub> is. According to the BCS mean-field theory, the energy gap at T<<T<sub>c</sub>, 2Δ<sub>o</sub>, is proportional to T<sub>c</sub>; 2Δ<sub>o</sub> = 4.3k<sub>B</sub>T<sub>c</sub> for d-wave superconductors. In the case of high-T<sub>c</sub> cuprates, however, 2Δ<sub>o</sub> increases monotonically with the lowering of the hole-doping level p even in the underdoped region, where T<sub>c</sub> is largely suppressed, and does not scale with T<sub>c</sub>, except in a highly overdoped region. Interestingly, in a wide p range spreading over the under- and overdoped regions, 2Δ<sub>o</sub> is almost proportional to crossover temperature T*, around which a spin gap and/or a (small) pseudogap of almost the same energy scale as 2Δ<sub>o</sub> start to develop progressively; 2Δ<sub>o</sub>/k<sub>B</sub>T* is nearly independent of p and comparable to the BCS value in the entire p range examined. On the other hand, 2Δ<sub>o</sub>/k<sub>B</sub>T<sub>c</sub> is inversely proportional to p, 2Δ<sub>o</sub>/k<sub>B</sub>T<sub>c</sub>~1/p, except in the highly overdoped region, where T<sub>c</sub> is very close to the BCS expectation. This indicates that the energy scale in determining T<sub>c</sub> is of order pΔ<sub>o</sub> in high-T<sub>c</sub> cuprates. In this article, we will discuss some scenarios for the transition from pseudogap to superconducting states, where the energy scale in determining T<sub>c</sub> is expected to be of order pΔ<sub>o</sub>.
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