2021-09-17T22:48:47Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000169342021-03-01T17:56:49ZGap-opening transition and fractal ground-state phase diagram in one-dimensional fermions with long-range interaction: Mott transition as a quantum phase transition of infinite order初貝, 安弘Hatsugai, Yasuhiro© 1997 The American Physical Societyapplication/pdfThe metal-insulator transition in one-dimensional fermionic systems with long-range interaction is investigated.\nWe have focused on an excitation spectrum by the exact diagonalization technique in sectors with\ndifferent momentum quantum numbers. At rational fillings, we have demonstrated gap opening transitions\nfrom the Tomonaga-Luttinger liquid to the Mott insulator associated with a discrete symmetry breaking by\nchanging the interaction strength. Finite interaction range is crucial to have the Mott transition at a rational\nfilling away from the half filling. It is consistent with the strong coupling picture where the Mott gap exists at\nany rational fillings with sufficiently strong interaction. The critical regions as a quantum phase transition are\nalso investigated numerically. Nonanalytic behavior of the Mott gap is the characteristic in the weak coupling.\nIt is of the order of the interaction in the strong coupling. It implies that the metal-insulator transition of the\nmodel is of the infinite order as a quantum phase transition at zero temperature. The fractal nature of the\nground-state phase diagram is also revealed.The American Physical Society1997-11engjournal articlehttp://hdl.handle.net/2241/100839https://tsukuba.repo.nii.ac.jp/records/1693410.1103/PhysRevB.56.121830163-1829AA00362255Physical review B56191218312189https://tsukuba.repo.nii.ac.jp/record/16934/files/PRB_56-19.pdfapplication/pdf232.6 kB2013-12-19