@article{oai:niigata-u.repo.nii.ac.jp:00002115, author = {Sano, Kazuhiro and Ono, Yoshiaki}, issue = {5}, journal = {Journal of the Physical Society of Japan, Journal of the Physical Society of Japan}, month = {Apr}, note = {We investigate the one-dimensional Hubbard ring with attractive interaction in the presence of imbalanced spin populations by using the exact diagonalization method. The singlet pairing correlation function is found to show spatial oscillations with power-law decays as expected in the Fulde-Ferrell-Larkin-Ovchinnikov state of the Tomonaga-Luttinger liquid. In the strong coupling regime, the system shows an anomalous flux quantization with a half of the superconducting flux quantum h/4e as recently predicted by the mean-field analysis, together with various flux quanta smaller than h/4e. Remarkably, the observed flux quanta are determined by the difference between the system size N_L and the electron number N_e as h/(N_L - N_e)_e.}, pages = {054707-1--054707-5}, title = {Anomalous flux quantization in the spin-imbalanced attractive Hubbard ring}, volume = {82}, year = {2013} }