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On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials |
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| Authors: | Vadim Kostrykin Ivan Veselić |
| Institution: | 1. Fraunhofer-Institut für Lasertechnik, Steinbachstra?e 15, D-52074, Aachen, Germany 3. Institut für Mathematik, TU Clausthal, Erzstra?e 1, D-38678, Clausthal-Zellerfeld, Germany 2. Fakult?t für Mathematik, TU Chemitz, D-09107, Chemnitz, Germany |
| Abstract: | The present paper is devoted to the study of spectral properties of random Schrödinger operators. Using a finite section method for Toeplitz matrices, we prove a Wegner estimate for some alloy type models where the single site potential is allowed to change sign. The results apply to the corresponding discrete model, too. In certain disorder regimes we are able to prove the Lipschitz continuity of the integrated density of states and/or localization near spectral edges. |
| Keywords: | 35J10 47B80 82B44 47B35 |
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