PC6-4

Local Density of States of Quasi-particles around a Vortex Trapped in a Grain Boundary

Dec.2 16:15-16:30 (Tokyo Time)

*Takayuki Tamai1, Terukazu Nishizaki2, Masaru Kato1

Department of Physics and Electronics, Osaka Prefecture University, Japan1

Department of Electrical Engineering, Kyushu Sangyo University, Japan2

In order to investigate vortices, we usually use a Scanning Tunneling Microscope (STM) and observe local density of states (LDOS) of quasi-particles inside of the vortex core. Nishizaki found the deformation of bound states around a vortex core by STM when a vortex is trapped in a grain boundary. From his observation, bound states are extended along the grain boundary. On the other hand, Tamai and Kato self-consistently solve the Bogoliubov-de Gennes (BdG) equation with a impurity potential and found that bound states do not extended along the impurity potential (Fig. 1)[1]. They conclude that this phenomenon is caused by the Kramer and Pesch effect.

In order to resolve the contradiction between experimental and numerical results, we investigate dependence of quasi-particle bound states around a vortex core on the strength of potential of a grain boundary and other physical parameters.

Fig. 1  A bound state (E/Ec> 0) and a random impurity potential

[1] T. Tamai and M. Kato, Jour. Phys. Conf. Ser., 1590, 012001(2020)

Keywords: Vortex, Bogoliubov-de Gennes equation, Local density of states

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