- 00-120 Laszlo Erdos
- Lifschitz tail in a magnetic field: coexistence of classical
and quantum behavior in the borderline case.
Mar 21, 00
(auto. generated ps),
of related papers
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.