Scattering Theory on Surface Majorana Fermions by an Impurity in He-3-B

作者：Tsutsumi Yasumasa^*

来源：Physical Review Letters, 2017, 118(14): 145301.

DOI：10.1103/PhysRevLett.118.145301

We have formulated the scattering theory on Majorana fermions emerging in the surface bound state of the superfluid He-3 B phase (He-3-B) by an impurity. By applying the theory to the electron bubble, which is regarded as the impurity, trapped below a free surface of He-3-B, the observed mobility of the electron bubble [J. Phys. Soc. Jpn. 82, 124607 (2013)] is quantitatively reproduced. The mobility is suppressed in low temperatures from the expected value in the bulk He-3-B by the contribution from the surface Majorana fermions. By contrast, the mobility does not depend on the trapped depth of the electron bubble in spite of the spatial variation of the wave function of the surface Majorana fermions. Our formulated theory demonstrates the depth-independent mobility by considering intermediate states in the scattering process. Therefore, we conclude that the experiment has succeeded in observing Majorana fermions in the surface bound state.

• 出版日期2017-4-5