We utilize both analytical and numerical methods to study the superconducting transition temperature Tc near a fermionic quantum critical point(QCP)using a model constructed by Xu et al.[Phys.Rev.X 7,031059(2017)]as an example.In this model,the bosonic critical fluctuation plays the role of pairing glue for the Cooper pairs,and we use a Bardeen-Cooper-Schrieffer-type mean-field theory to estimate Tc.We further argue that the Tc computed from the BCS theory approximates a pseudogap temperature TPG,instead of the Berezinskii-Kosterlitz-Thouless transition temperature TKT,which is confirmed by our determinant quantum Monte Carlo simulation.Moreover,due to the fact that electron density of state starts to deplete at TPG,the critical scaling of the underlying QCP is also affected below TPG.Thus,when studying the critical behavior of fermionic QCPs,we need to monitor that the temperature is above TPG instead of TKT.This was often ignored in previous studies.

Yunchao Hao;Gaopei Pan;Kai Sun;Zi Yang Meng;Yang Qi

State Key Laboratory of Surface Physics and Department of Physics,Fudan University,Shanghai 200433,China;Beijing National Laboratory for Condensed Matter Physics and Institute of Physics,Chinese Academy of Sciences,Beijing 100190,China;School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100190,China;Department of Physics,University of Michigan,Ann Arbor,MI 48109,USA;Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics,The University of Hong Kong,Pokfulam Road,Hong Kong,China;Collaborative Innovation Center of Advanced Microstructures,Nanjing 210093,China

中国物理快报（英文版）

[1]Yunchao Hao;Gaopei Pan;Kai Sun;Zi Yang Meng;Yang Qi-.Superconductivity near the(2+1)-Dimensional Ferromagnetic Quantum Critical Point)[J].中国物理快报（英文版）,2022(09):50-58

QCP,Berezinskii,Kosterlitz,Thouless,QCPs

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