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arXiv · 1711.03164

Dynamics of a Rydberg hydrogen atom near a topologically insulating surface

A. Martín-Ruiz·E. Chan-López
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Abstract

We investigate the classical dynamics of a Rydberg hydrogen atom near the surface of a planar topological insulator. The system is described by a Hamiltonian consisting of the free-hydrogen part and the hydrogen-surface potential. The latter includes the interactions between the electron and both image electric charges and image magnetic monopoles. Owing to the axial symmetry, the $z$ component of angular momentum $l_{z}$ is conserved. Here we consider the $l_{z} = 0$ case. The structure of the phase space is explored extensively by means of numerical techniques and Poincar\'{e} surfaces of section for the recently discovered topological insulator TlBiSe$_{2}$. The phase space of the system is separated into regions of vibrational and rotational motion. We show that vibrational-rotational-vibrational type transitions can be tuned with the topological magnetoelectric polarizability.

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A. Martín-Ruiz, E. Chan-López. 2017-11-08. Dynamics of a Rydberg hydrogen atom near a topologically insulating surface. https://doi.org/10.1209/0295-5075%2F119%2F53001

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