Aharonov-Bohm Effect In Quantum Rings

F Krapivin Vladimir

Seong Jae Lee, Kyoung Wan Park, Hyuk Chan Kwon +2 more

利正 藤澤

Alexander van Oudenaarden, Michel Devoret, Yuli V. Nazarov +1 more

Chang‐Mo Ryu, Taeseung Choi, Chul Koo Kim +1 more

A one-dimensional quantum waveguide theory is developed for a mesoscopic ring subject to the Aharonov–Casher(AC) effect based on the SU (2) spin gauge theory. The quantum interference by the AC effect is found to be equivalent to that by the Aharonov–Bohm(AB) effect. This indicates that AC effect can be utilized for device application in a very similar manner to the AB effect. The transmission probability induced by the AC effect is shown to be identical for the spin up and down components.

Kazuhiro Sano, Yoshiaki Ōno

We investigate anomalous oscillations due to the Aharonov-Bohm(AB) and Aharonov-Casher(AC) effects of the one-dimensional Hubbard ring with flux in the strong coupling limit. By using the exact diagonalization method and the Shiba transformation, we examine the energies of the ground state and few excited states in the presence of the flux producing the AB or AC effect, where the transformation not only reverses the sign of the interaction U, but also exchanges the role between the AB and AC effects in the model Hamiltonian. We classify the number of oscillation of the ground state as a function of the flux systematically and clarify the close relationship between the AB and AC effects. For example, it is shown that the number of the periods are given by N_L - N_e(N_L - N_↑ + N_↓) for the AB(AC) effect in the very strong attraction, where N_L, N_e, N_↑, and N_↓ are the system size, the number of the total electrons, the number of electrons with up-spin, and the number of electrons with down-spin, respectively, in the condition of N_L > N_e > N_↓ > N_↑. More special case, such as the half-filled band and spin balanced case (N_L = N_e and N_↓ = N_↑ ), we find the periodicity of the system to be 0(2) for the AB(AC) effect in the very strong repulsion. These results show us the nature of interesting phenomena originated by the interplay between the strong correlation and the quantum interference effect in the mesoscopic ring.