In this paper, we calculate the low-lying spectra of a single-electron magnetic quantum ring with an offcenter Coulomb impurity, where the magnetic field is zero within the ring and constant elsewhere. The impurity, e...In this paper, we calculate the low-lying spectra of a single-electron magnetic quantum ring with an offcenter Coulomb impurity, where the magnetic field is zero within the ring and constant elsewhere. The impurity, either an acceptor or a donor, is located at a distance d as measured from the plane of the ring along the vertical z direction. The magnetic moments are found in order to get visible discontinuities at the points of the ground-state orbital angular momentum L transitions induced by magnetic fields.展开更多
In quantum dots under a strong magnetic field, all the electrons occupy only the lowest Landau level and are spin polarized. When an orbiting electron is regarded as a quasiparticle, the interaction between a pair of ...In quantum dots under a strong magnetic field, all the electrons occupy only the lowest Landau level and are spin polarized. When an orbiting electron is regarded as a quasiparticle, the interaction between a pair of quasiparticles is a short range attraction matched to a long range repulsive tail. Magic numbers of angular momentum are justthose where the quasiparticles can be arranged into compact clusters with their sizes determined by the saturation of the short range attraction.展开更多
The low-lying states of a spin-aligned 6-electron quantum dot may prefer the regular hexagon and regular centered pentagon structures.However,these favourable structures may be prohibited by inherent symmetry.Based on...The low-lying states of a spin-aligned 6-electron quantum dot may prefer the regular hexagon and regular centered pentagon structures.However,these favourable structures may be prohibited by inherent symmetry.Based on this consideration,a couple of equations are deduced.The solution of these equations gives exactly the magic numbers of the 6-electron dot.展开更多
基金The project supported by National Natural Science Foundation of China under Grant Nos. 50371058 and 90103028
文摘In this paper, we calculate the low-lying spectra of a single-electron magnetic quantum ring with an offcenter Coulomb impurity, where the magnetic field is zero within the ring and constant elsewhere. The impurity, either an acceptor or a donor, is located at a distance d as measured from the plane of the ring along the vertical z direction. The magnetic moments are found in order to get visible discontinuities at the points of the ground-state orbital angular momentum L transitions induced by magnetic fields.
基金Supported by the Hong Kong Croucher Foundation,and in part by the National Natural Science Foundation of China under Grant No.19875018,Guangdong Provincial Natural Science Foundation,and Guangzhou Civic Natural Science Foundation.
文摘In quantum dots under a strong magnetic field, all the electrons occupy only the lowest Landau level and are spin polarized. When an orbiting electron is regarded as a quasiparticle, the interaction between a pair of quasiparticles is a short range attraction matched to a long range repulsive tail. Magic numbers of angular momentum are justthose where the quasiparticles can be arranged into compact clusters with their sizes determined by the saturation of the short range attraction.
基金Supported by the National Natural Science Foundation of China under Grant No.19374073 and Grant No.19134020Guangdong Natural Science Foundation.
文摘The low-lying states of a spin-aligned 6-electron quantum dot may prefer the regular hexagon and regular centered pentagon structures.However,these favourable structures may be prohibited by inherent symmetry.Based on this consideration,a couple of equations are deduced.The solution of these equations gives exactly the magic numbers of the 6-electron dot.
