Wegner estimate and Anderson localization for random magnetic fields

L. Erdös, D. Hasler, Communications in Mathematical Physics 309 (2012) 507–542.

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Abstract
We consider a two dimensional magnetic Schrödinger operator with a spatially stationary random magnetic field. We assume that the magnetic field has a positive lower bound and that it has Fourier modes on arbitrarily short scales. We prove the Wegner estimate at arbitrary energy, i. e. we show that the averaged density of states is finite throughout the whole spectrum. We also prove Anderson localization at the bottom of the spectrum.
Publishing Year
Date Published
2012-01-01
Journal Title
Communications in Mathematical Physics
Volume
309
Issue
2
Page
507 - 542
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Erdös L, Hasler D. Wegner estimate and Anderson localization for random magnetic fields. Communications in Mathematical Physics. 2012;309(2):507-542. doi:10.1007/s00220-011-1373-z
Erdös, L., & Hasler, D. (2012). Wegner estimate and Anderson localization for random magnetic fields. Communications in Mathematical Physics, 309(2), 507–542. https://doi.org/10.1007/s00220-011-1373-z
Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization for Random Magnetic Fields.” Communications in Mathematical Physics 309, no. 2 (2012): 507–42. https://doi.org/10.1007/s00220-011-1373-z.
L. Erdös and D. Hasler, “Wegner estimate and Anderson localization for random magnetic fields,” Communications in Mathematical Physics, vol. 309, no. 2, pp. 507–542, 2012.
Erdös L, Hasler D. 2012. Wegner estimate and Anderson localization for random magnetic fields. Communications in Mathematical Physics. 309(2), 507–542.
Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization for Random Magnetic Fields.” Communications in Mathematical Physics, vol. 309, no. 2, Springer, 2012, pp. 507–42, doi:10.1007/s00220-011-1373-z.

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