The lack of Zero-biased conductance peaks at the vortex core of cuprates*

Recently evidence of zero-bias conductance peaks (ZBCP) in Bi-based cuprate is reported by using spectroscopic imaging scanning tunneling microscopy (SISTM) under the extremely low field for heavily doped samples [1]. This result rekindles a long-standing puzzle about the lack of ZBCP in Bi-based cuprates in most previous STM results.  The aim of this study is to investigate the ZBCP by using renormalized mean field theory (RMFT) under a magnetic field. As in the previous RMFT study [2-5], pair density wave solution from RMFT has been applied with the Wannier function to obtain the continuum Green's function or conductance.  In this work, the electronic state in the vortex core will be shown with dopant dependence and field dependence. The physics behind the absence of ZBCP will also be discussed.

 

 

[1]Wang-MacDonald d-Wave Vortex Cores Observed in Heavily Overdoped  Phys. Rev. B, 52, 6, R3876, 2021 (Gadic et al.)

[2]. Genesis of charge orders in high temperature superconductors, Scientific Reports 6, 18675 (2016), (Wei-Lin Tu and T. K. Lee).

[3]. Evolution of pairing orders between pseudogap and superconducting phases of Cuprate Superconductors, Scientific Reports 9, 1719 (2019) (Wei-Lin Tu and T. K. Lee).

[4]. Incommensurate charge ordered states in the t-t’-J model, New J. Phys. 19, 013028 (2017), (Peayush Choubey, Wei-Lin Tu, T.K. Lee and P. J. Hirschfeld).