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https://www.um.edu.mt/library/oar/handle/123456789/118294
Title: | Lifshits tails for random smooth magnetic vortices |
Authors: | Borg, James L. Pulé, J. V. |
Keywords: | Condensed materials Condensed matter Mathematical physics Phase transformations (Statistical physics) Pauli exclusion principle |
Issue Date: | 2004 |
Publisher: | American Institute of Physics |
Citation: | Borg, J. L., & Pulé, J. V. (2004). Lifshits tails for random smooth magnetic vortices. Journal of mathematical physics, 45(12), 4493-4505. |
Abstract: | We study the density of states of the Pauli Hamiltonian with a Poisson random distribution of smooth finite-width vortices and we obtain classical bounds for the Lifshits tails for them. These Hamiltonians are smooth approximations to the selfadjoint extensions of the Aharonov–Bohm Hamiltonian. In this case because pairs of impurities are coupled by the magnetic field we cannot use the Laplace characteristic functional. |
URI: | https://www.um.edu.mt/library/oar/handle/123456789/118294 |
Appears in Collections: | Scholarly Works - FacSciMat |
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Lifshits_tails_for_random_smooth_magnetic_vortices.pdf Restricted Access | 139.66 kB | Adobe PDF | View/Open Request a copy |
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