In this paper, we investigate the effect of the Coulomb interaction between electrons on the stability of Majorana fermion in a heterostructure of s-wave superconductor and quantum wire. In particular, by using the bo...In this paper, we investigate the effect of the Coulomb interaction between electrons on the stability of Majorana fermion in a heterostructure of s-wave superconductor and quantum wire. In particular, by using the bosonization method and the renormalization group technique, we show that interplay between the so-called umklapp electron–electron scattering process and the superconducting proximity effect plays an extremely important role in determining the phase diagram of the system. We find that, at half-filling, the strong umklapp scattering process suppresses not only the superconducting pairing interaction and hence, destabilizes Majorana fermion in the quantum wire, but aslo results in a Mott insulating state.However, if the proximity effect is sufficiently strong, the topological superconducting phase can still survive and support Majorana fermion in the heterostructure. Furthermore, the existence of a critical Luttinger liquid phase is also found in a narrow region of parameters.展开更多
We extend the Blonder, Tinkham and Klapwijk （BTK） theory to the study of the coexistence between ferromagnetism and s-wave superconductivity in ferromagnet/superconductor （F/S） structures. It is found that the fer...We extend the Blonder, Tinkham and Klapwijk （BTK） theory to the study of the coexistence between ferromagnetism and s-wave superconductivity in ferromagnet/superconductor （F/S） structures. It is found that the ferromagnetism and s-wave superconductivity can coexist near the F/S interface, which is induced by proximity effects. On the F side, the density of states （DOS） exhibits some superconducting-like properties, and it displays a damped oscillation from ‘0＇ to ‘v＇ states with increasing either the thickness of F film or the exchange energy. We also study the influences of the spin-polarized exchange splitting in the F and the spin-degeneracy by Rashba spin-orbit coupling （RSOC） in the two-dimensional electron gas （2DGE） on the proximity effects. It is shown that the case of Rashba spin-degeneracy is very different from that of the spin-polarized exchange splitting.展开更多
We extend the Blonder, Tinkham and Klapwijk theory to the study of the inverse proximity effects in the normal mental/superconductor/ferromagnet structures. In the superconducting film, there are the gapless supercond...We extend the Blonder, Tinkham and Klapwijk theory to the study of the inverse proximity effects in the normal mental/superconductor/ferromagnet structures. In the superconducting film, there are the gapless superconductivity and the spin-dependent density of states both within and without the energy gap. It indicates an appearance of the inverse-proximity-effect-induced ferromagnetism and a coexistence of ferromagnetism and superconductivity near the interface. The influence of exchange energy in the ferromagnet and barrier strength at the superconductor/ferromagnet interface on the inverse proximity effects is discussed.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11374017)
文摘In this paper, we investigate the effect of the Coulomb interaction between electrons on the stability of Majorana fermion in a heterostructure of s-wave superconductor and quantum wire. In particular, by using the bosonization method and the renormalization group technique, we show that interplay between the so-called umklapp electron–electron scattering process and the superconducting proximity effect plays an extremely important role in determining the phase diagram of the system. We find that, at half-filling, the strong umklapp scattering process suppresses not only the superconducting pairing interaction and hence, destabilizes Majorana fermion in the quantum wire, but aslo results in a Mott insulating state.However, if the proximity effect is sufficiently strong, the topological superconducting phase can still survive and support Majorana fermion in the heterostructure. Furthermore, the existence of a critical Luttinger liquid phase is also found in a narrow region of parameters.
基金Project supported by the Natural Science Foundation of Education Bureau of Jiangsu Province, China （Grant No 05KJB140008）, and the Program for Excellent Talents in Huaiyin Teachers College, China.Acknowledgment We are especially grateful to Professor D. Y. Xing for pointing out the problem in this paper.
文摘We extend the Blonder, Tinkham and Klapwijk （BTK） theory to the study of the coexistence between ferromagnetism and s-wave superconductivity in ferromagnet/superconductor （F/S） structures. It is found that the ferromagnetism and s-wave superconductivity can coexist near the F/S interface, which is induced by proximity effects. On the F side, the density of states （DOS） exhibits some superconducting-like properties, and it displays a damped oscillation from ‘0＇ to ‘v＇ states with increasing either the thickness of F film or the exchange energy. We also study the influences of the spin-polarized exchange splitting in the F and the spin-degeneracy by Rashba spin-orbit coupling （RSOC） in the two-dimensional electron gas （2DGE） on the proximity effects. It is shown that the case of Rashba spin-degeneracy is very different from that of the spin-polarized exchange splitting.
基金Project supported by the Special Funds of the National Natural Science Foundation of China(Grant Nos.10847132 and 10847133)the Natural Science Foundation of Education Bureau of Jiangsu Province,China(Grant No.07KJD140024)
文摘We extend the Blonder, Tinkham and Klapwijk theory to the study of the inverse proximity effects in the normal mental/superconductor/ferromagnet structures. In the superconducting film, there are the gapless superconductivity and the spin-dependent density of states both within and without the energy gap. It indicates an appearance of the inverse-proximity-effect-induced ferromagnetism and a coexistence of ferromagnetism and superconductivity near the interface. The influence of exchange energy in the ferromagnet and barrier strength at the superconductor/ferromagnet interface on the inverse proximity effects is discussed.
