2015/06/28 by Niv Cohen, Oded Kenneth, Cohen, Niv +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Terahertz technology and applications #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.48550/arxiv.1506.08394
5 pages, 2 figures
arxiv created 2015/06/28 · openalex publication_date 2015/06/28 · arxiv updated 2015/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Aharonov Casher effect predicts the existence in two dimensions of ceil(Phi/2pi) -1 bounded zero modes associated with a magnetic flux Phi. Aharonov and Casher discussed the case of gyromagnetic factor equals 2, we will discuss the general case of any gyromagnetic factor. As a simple model, we study the case where the magnetic field lies in a thin annulus. First we examine the wavefunctions of the zero-energy bounded states, predicted by the Aharonov Casher Effect for electrons with gyromagnetic ratio equal 2. We then calculate the wave function and energies for a gyromagnetic ratio g not equal to 2. We give the dependence of the bound states energies on g and the angular momentum. Finally, we provide an order of magnitude estimations for the binding energies.