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- W4294786601 abstract "We start with a variational approach and derive a set of coupled integral equations for the bound states of $N$ identical spin-$ensuremath{uparrow}$ fermions and a single spin-$ensuremath{downarrow}$ fermion in a generic multiband Hubbard Hamiltonian with an attractive on-site interaction. As an illustration, we apply our integral equations to the one-dimensional sawtooth lattice up to $Nensuremath{le}3$, i.e., to the $(3+1)$-body problem, and we reveal not only the presence of tetramer states in this two-band model but also their quasiflat dispersion when formed in a flat band. Furthermore, for $N={4,5,ensuremath{cdots},10}$, our density-matrix renormalization-group simulations and exact diagonalization suggest the presence of larger and larger multimers with lower and lower binding energies, conceivably without an upper bound on $N$. These peculiar $(N+1)$-body clusters are in sharp contrast with the exact results on the single-band linear-chain model where none of the $Nensuremath{ge}2$ multimers appear. Hence their presence must be taken into account for a proper description of the many-body phenomena in flat-band systems, e.g., they may suppress superconductivity especially when there exists a large spin imbalance." @default.
- W4294786601 created "2022-09-06" @default.
- W4294786601 creator A5047650389 @default.
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- W4294786601 date "2022-09-06" @default.
- W4294786601 modified "2023-10-04" @default.
- W4294786601 title "Stability of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> -body fermion clusters in a multiband Hubbard model" @default.
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- W4294786601 doi "https://doi.org/10.1103/physreva.106.033304" @default.
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