Please use this identifier to cite or link to this item: 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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