In the framework of the Bose–Hubbard model, we show that two-particle surface bound states embedded in the continuum (BIC) can be sustained at the edge of a semi-infinite one-dimensional tight-binding lattice for any infinitesimally-small impurity potential V at the lattice boundary. Such thresholdless surface states, which can be referred to as Tamm–Hubbard BIC states, exist provided that the impurity potential V is attractive (repulsive) and the particle–particle Hubbard interaction U is repulsive (attractive), i.e. for UV < 0.

Tamm–Hubbard surface states in the continuum

LONGHI, STEFANO;DELLA VALLE, GIUSEPPE
2013

Abstract

In the framework of the Bose–Hubbard model, we show that two-particle surface bound states embedded in the continuum (BIC) can be sustained at the edge of a semi-infinite one-dimensional tight-binding lattice for any infinitesimally-small impurity potential V at the lattice boundary. Such thresholdless surface states, which can be referred to as Tamm–Hubbard BIC states, exist provided that the impurity potential V is attractive (repulsive) and the particle–particle Hubbard interaction U is repulsive (attractive), i.e. for UV < 0.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/728177
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