Volume 118, Number 5, June 2017
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||18 August 2017|
BCS quantum critical phenomena
College of Economics and Management, Southwest University - Chongqing, China
Received: 12 January 2017
Accepted: 20 July 2017
Theoretically, we recently showed that the scaling relation between the transition temperature Tc and the superfluid density at zero temperature ns(0) might exhibit a parabolic pattern: (Tao Y., Sci. Rep., 6 (2016) 23863). It is significantly different from the linear scaling described by Homes' law, which is well known as a mean-field result. More recently, Božović et al. have observed such a parabolic scaling in the overdoped copper oxides with a sufficiently low transition temperature Tc (Božović I. et al., Nature, 536 (2016) 309). They further point out that this experimental finding is incompatible with the standard Bardeen-Cooper-Schrieffer (BCS) description. Here we report that if Tc is sufficiently low, applying the renormalization group approach into the BCS action at zero temperature will naturally lead to the parabolic scaling. Our result indicates that when Tc sufficiently approaches zero, quantum fluctuations will be overwhelmingly amplified so that the mean-field approximation may break down at zero temperature.
PACS: 74.20.Fg – BCS theory and its development / 64.60.ae – Renormalization-group theory / 74.40.Kb – Quantum critical phenomena
© EPLA, 2017
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