Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case

L. Erdös, Probability Theory and Related Fields 121 (2001) 219–236.

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Abstract
We establish the exact low-energy asymptotics of the integrated density of states (Lifschitz tail) in a homogeneous magnetic field and Poissonian impurities with a repulsive single-site potential of Gaussian decay. It has been known that the Gaussian potential tail discriminates between the so-called "classical" and "quantum" regimes, and precise asymptotics are known in these cases. For the borderline case, the coexistence of the classical and quantum regimes was conjectured. Here we settle this last remaining open case to complete the full picture of the magnetic Lifschitz tails.
Publishing Year
Date Published
2001-10-01
Journal Title
Probability Theory and Related Fields
Volume
121
Issue
2
Page
219 - 236
IST-REx-ID

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Erdös L. Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case. Probability Theory and Related Fields. 2001;121(2):219-236. doi:10.1007/PL00008803
Erdös, L. (2001). Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case. Probability Theory and Related Fields, 121(2), 219–236. https://doi.org/10.1007/PL00008803
Erdös, László. “Lifschitz Tail in a Magnetic Field: Coexistence of Classical and Quantum Behavior in the Borderline Case.” Probability Theory and Related Fields 121, no. 2 (2001): 219–36. https://doi.org/10.1007/PL00008803.
L. Erdös, “Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case,” Probability Theory and Related Fields, vol. 121, no. 2, pp. 219–236, 2001.
Erdös L. 2001. Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case. Probability Theory and Related Fields. 121(2), 219–236.
Erdös, László. “Lifschitz Tail in a Magnetic Field: Coexistence of Classical and Quantum Behavior in the Borderline Case.” Probability Theory and Related Fields, vol. 121, no. 2, Springer, 2001, pp. 219–36, doi:10.1007/PL00008803.

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