Understanding the Random Displacement Model: From Ground State Properties to Localization
DOI10.1007/978-3-0348-0414-1_10zbMath1273.82024arXiv1107.0386OpenAlexW1489694958MaRDI QIDQ2841837
Shu Nakamura, Frédéric Klopp, Michael Loss, Günter Stolz
Publication date: 30 July 2013
Published in: Spectral Analysis of Quantum Hamiltonians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.0386
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Random linear operators (47B80)
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Cites Work
- Localization for the random displacement model
- Localization for the random displacement model at weak disorder
- Lifshitz tails for generalized alloy-type random Schrödinger operators
- Wegner estimate and Anderson localization for random magnetic fields
- Moment analysis for localization in random Schrödinger operators
- On Bernoulli decompositions for random variables, concentration bounds, and spectral localization
- Low energy properties of the random displacement model
- Localization near fluctuation boundaries via fractional moments and applications
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- A short introduction to the theory of random Schrödinger operators
- Localization at large disorder and at extreme energies: an elementary derivation
- Wegner estimate and the density of states of some indefinite Alloy-type Schrödinger operators
- Anderson localization for Bernoulli and other singular potentials
- Localization for one-dimensional, continuum, Bernoulli-Anderson models.
- The integrated density of states for some random operators with nonsign definite potentials
- Delocalization in random polymer models
- Localization for some continuous random Schrödinger operators
- Wegner estimates and Anderson localization for alloy-type potentials
- A comprehensive proof of localization for continuous Anderson models with singular random potentials
- An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators
- Localization for Schrödinger operators with Poisson random potential
- On localization in the continuous Anderson-Bernoulli model in higher dimension
- Minimizing the ground state energy of an electron in a randomly deformed lattice
- On the Placement of an Obstacle or a Well so as to Optimize the Fundamental Eigenvalue
- Discrete Schrödinger Operators with Random Alloy-type Potential
- An Invitation to Random Schroedinger operators
- Two-parameter spectral averaging and localization for non-monotonic random Schrödinger operators
- Caught by disorder. Bound states in random media
- The \(L^p\)-theory of the spectral shift function, the Wegner estimate, and the integrated density of states for some random operators.
- Bootstrap multiscale analysis and localization in random media
- Spectral extrema and Lifshitz tails for non-monotonous alloy type models
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