Marina-Aura Dariescu and Ciprian Dariescu 2007 J. Phys.: Condens. Matter 19 256203 doi:10.1088/0953-8984/19/25/256203
Persistent currents and critical magnetic field in planar dynamics of charged bosons
Marina-Aura Dariescu and Ciprian Dariescu
Show affiliationsThe aim of the present paper is the analysis from both quantum mechanics and thermodynamic points of view of the Hall-type behaviour of a relativistic charged scalar particle. Starting with the Euler–Lagrange equation, we obtain the solution and the Landau-type energy levels which exhibit a general dependence on the exterior electric and magnetic fields and on the particle momentum. For an ultra-relativistic particle, the characteristic function allows us to derive the so-called persistent currents, the state equation and the magnetization. In the last section, we add a self-interacting contribution to the Lagrangian and we get the critical magnetic induction values when the symmetry of the model is restored.
- PACS
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72.10.-d Theory of electronic transport; scattering mechanisms
- Subjects
- Dates
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Issue 25 (27 June 2007)
Received 24 February 2007, in final form 10 May 2007
Published 31 May 2007
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Persistent currents and critical magnetic field in planar dynamics of charged bosons
Marina-Aura Dariescu and Ciprian Dariescu 2007 J. Phys.: Condens. Matter 19 256203
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