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arXiv · 1807.01523

Impurity-bound excitons in one and two dimensions

Horia Cornean·Hynek Kovarik·Thomas G. Pederesen
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Abstract

We study three-body Schr\"odinger operators in one and two dimensions modelling an exciton interacting with a charged impurity. We consider certain classes of multiplicative interaction potentials proposed in the physics literature. We show that if the impurity charge is larger than some critical value, then three-body bound states cannot exist. Our spectral results are confirmed by variational numerical computations based on projecting on a finite dimensional subspace generated by a Gaussian basis.

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Horia Cornean, Hynek Kovarik, Thomas G. Pederesen. 2018-07-04. Impurity-bound excitons in one and two dimensions. https://arxiv.org/abs/1807.01523

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