Dipartimento di Fisica, Politecnico di Milano and Istituto di Fotonica e Nanotecnologie del Consiglio Nazionale delle Ricerche, Milano, Italy.
J Phys Condens Matter. 2013 Jun 12;25(23):235601. doi: 10.1088/0953-8984/25/23/235601. Epub 2013 May 14.
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.
在玻色-哈伯德模型的框架下，我们证明了在半无限一维紧束缚晶格的边缘，嵌入连续谱中的双粒子表面束缚态（BIC）可以在晶格边界处的任何微小杂质势 V 下得以维持。这种无阈值的表面态，可以被称为 Tamm-Hubbard BIC 态，存在的条件是杂质势 V 是吸引的（排斥的），而粒子-粒子哈伯德相互作用 U 是排斥的（吸引的），即 UV < 0。
