Gap-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
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概要
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The metal-insulator transition in one-dimensional fermionic systems with long-range interaction is investigated.We have focused on an excitation spectrum by the exact diagonalization technique in sectors withdifferent momentum quantum numbers. At rational fillings, we have demonstrated gap opening transitionsfrom the Tomonaga-Luttinger liquid to the Mott insulator associated with a discrete symmetry breaking bychanging the interaction strength. Finite interaction range is crucial to have the Mott transition at a rationalfilling away from the half filling. It is consistent with the strong coupling picture where the Mott gap exists atany rational fillings with sufficiently strong interaction. The critical regions as a quantum phase transition arealso investigated numerically. Nonanalytic behavior of the Mott gap is the characteristic in the weak coupling.It is of the order of the interaction in the strong coupling. It implies that the metal-insulator transition of themodel is of the infinite order as a quantum phase transition at zero temperature. The fractal nature of theground-state phase diagram is also revealed.
- The American Physical Societyの論文
The American Physical Society | 論文
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