article published yes László Erdös author 4DBD5372-F248-11E8-B48F-1D18A9856A870000-0001-5366-9603 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. Springer2001 eng 0044-3719 math-ph/000302310.1007/PL00008803 1212219 - 236 yes Erdös L. Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case. <i>Probability Theory and Related Fields</i>. 2001;121(2):219-236. doi:<a href="https://doi.org/10.1007/PL00008803">10.1007/PL00008803</a> 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. L. Erdös, Probability Theory and Related Fields 121 (2001) 219–236. Erdös, László. “Lifschitz Tail in a Magnetic Field: Coexistence of Classical and Quantum Behavior in the Borderline Case.” <i>Probability Theory and Related Fields</i>. Springer, 2001. <a href="https://doi.org/10.1007/PL00008803">https://doi.org/10.1007/PL00008803</a>. L. Erdös, “Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case,” <i>Probability Theory and Related Fields</i>, vol. 121, no. 2. Springer, pp. 219–236, 2001. Erdös, L. (2001). Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case. <i>Probability Theory and Related Fields</i>. Springer. <a href="https://doi.org/10.1007/PL00008803">https://doi.org/10.1007/PL00008803</a> Erdös, László. “Lifschitz Tail in a Magnetic Field: Coexistence of Classical and Quantum Behavior in the Borderline Case.” <i>Probability Theory and Related Fields</i>, vol. 121, no. 2, Springer, 2001, pp. 219–36, doi:<a href="https://doi.org/10.1007/PL00008803">10.1007/PL00008803</a>. 27352018-12-11T11:59:19Z2023-05-16T12:20:42Z