Ground state and polarization of an hydrogen-like atom near a Weyl semimetal
arXiv:2201.10741 · doi:10.1103/PhysRevA.107.032814
Abstract
In this paper we study the effects of a topological Weyl semimetal (WSM) upon the ground state and polarization of an hydrogen-like atom near its surface. The WSM is assumed to be in the equilibrium state and at the neutrality point, such that the interaction between the atomic charges and the material is fully described (in the non retarded regime) by axion electrodynamics, which is an experimentally observable signature of the anomalous Hall effect in the bulk of the WSM. The atom-WSM interaction provides additional contributions to the Casimir-Polder potential thus modifying the energy spectra and wave function, which now became distance dependent. Using variational methods, we solve the corresponding Schrödinger equation for the atomic electron. The ground state and the polarization are analyzed as a function of the atom-surface distance, and we directly observe the effects of the nontrivial topology of the material by comparing our results with that of a topologically trivial sample. We also study the impact of the medium's permittivity by assuming a hydrogen atom in vacuum, and a donor impurity in the semiconductors gallium arsenide (GaAs) and gallium phosphide (GaP). We found that the topological interaction behaves as an effective-attractive charge so that the electronic cloud tends to be polarized to the interface of materials. Moreover, the loss of wave-function normalization is interpreted as a critical location from below which the bound state is broken.
arXiv comment17 pages, 14 figures. Material systems and parameter changed. Discussion improved. Data repository at https://github.com/djuliannader/WSMs-H
References in corpus (35)
- Topological insulators and superconductors
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Topological Field Theory of Time-Reversal Invariant Insulators
- Weyl Semimetal in a Topological Insulator Multilayer
- Topological response in Weyl semimetals and the chiral anomaly
- Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
- Heavily Doped Semiconductor Nanocrystal Quantum Dots
- Electromagnetic Response of Weyl Semimetals
- Exchange in silicon-based quantum computer architecture
- Notes on Anomaly Induced Transport
- An ideal Weyl semimetal induced by magnetic exchange
- Surface plasmon polaritons in topological Weyl semimetals
- Theory of Kerr and Faraday rotations and linear dichroism in Topological Weyl Semimetals
- Helicons in Weyl semimetals
- Green's function approach to Chern-Simons extended electrodynamics: an effective theory describing topological insulators
- Topological insulator Bi2Se3 thin films as an alternative channel material in MOSFETs
- Electro and magneto statics of topological insulators as modeled by planar, spherical and cylindrical boundaries: Green function approach
- Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators
- Resonant and Bound States of Charged Defects in Two-Dimensional Semiconductors
- Casimir-Polder Shift and Decay Rate in the Presence of Nonreciprocal Media
- The Electromagnetic Green's Function for Layered Topological Insulators
- Electromagnetic signatures of the chiral anomaly in Weyl semimetals
- Optical response of a topological-insulator--quantum-dot hybrid interacting with a probe electric field
- Helium- and Lithium-like ionic sequences: Critical charges
- An accurate few-parameter ground state wave function for the Lithium atom
- Reversed electromagnetic Vavilov-Čerenkov radiation in naturally existing magnetoelectric media
- Magnetoelectric effect in cylindrical topological insulators
- Electromagnetic fields induced by an electric charge near a Weyl semimetal
- Interaction of a hydrogenlike ion with a planar topological insulator
- Dynamics of a Rydberg hydrogen atom near a topologically insulating surface
- Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. II. Spin-singlet (excited) and spin-triplet (lowest) states of the Helium sequence
- Optical intersubband properties of a core-shell semiconductor-topological insulator quantum dot described by -Electrodynamics
- Fano resonances induced by the topological magnetoelectric effect
- Finite Hydrogenic molecular chain H and ion H exist in a strong magnetic field
- Exact solution of the Schrödinger equation for an hydrogen atom at the interface between the vacuum and a topologically insulating surface