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日本物理学会講演概要集

16pBA-8 Hidden fermionic excitation present in the strong-coupling regime of the attractive Hubbard model

志朗 酒井, Marcello Civelli, Yusuke Nomura, Masatoshi Imada

Published Sep 16, 2015• 0 citations
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Abstract We study an attractive Hubbard model on bipartite lattices. In the grand canonical formalism, we prove the existence of superconducting long-range order in the ground state on Lieb lattices with the chemical potential corresponding to half filling. We also study the low-energy excitations above several ground states for the translationally invariant Hamiltonian. We prove the following: (i) The pairing excitations are gapless above the ground states when the number of fermions deviates from that of the half filling by the order of the volume. (ii) A certain class of single-fermion excitations shows a non-vanishing spectral gap above the ground state with an even number of fermions in a strong coupling and low-density regime.