PhysRevA.89.042107.pdf (272.73 kB)
Zeeman shift of an electron trapped near a surface
journal contribution
posted on 2023-06-08, 17:06 authored by Claudia Eberlein, Robert BennettBoundary-dependent corrections to the spin energy eigenvalues of an electron in a weak magnetic field and confined by a harmonic trapping potential are investigated. The electromagnetic field is quantized through a normal-mode expansion obeying the Maxwell boundary conditions at the material surface. We couple the electron to this photon field and a classical magnetic field in the Dirac equation, to which we apply the unitary Foldy-Wouthuysen transformation in order to generate a nonrelativistic approximation of the Hamiltonian to the desired order. We obtain the Schrödinger eigenstates of an electron subject to double confinement by a harmonic potential and a classical magnetic field, and then use these within second-order perturbation theory to calculate the spin energy shift that is attributable to the surface-modified quantized field. We find that a pole at the eigenfrequency of a set of generalized Landau transitions gives dominant oscillatory contributions to the energy shift in the limit of tight harmonic confinement in a weak magnetic field, which also make the energy shift preferable to the magnetic moment for a physically meaningful interpretation.
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- Published
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- Published version
Journal
Physical Review AISSN
1050-2947Publisher
American Physical SocietyExternal DOI
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89Page range
042107Department affiliated with
- Physics and Astronomy Publications
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- Yes
Peer reviewed?
- Yes
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2014-05-01First Open Access (FOA) Date
2014-05-01First Compliant Deposit (FCD) Date
2014-05-01Usage metrics
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