Localization for the random displacement model
From MaRDI portal
Publication:410098
DOI10.1215/00127094-1548353zbMath1285.82030arXiv1007.2483MaRDI QIDQ410098
Günter Stolz, Frédéric Klopp, Michael Loss, Shu Nakamura
Publication date: 17 April 2012
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.2483
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random linear operators (47B80)
Related Items
Spectral localization for quantum Hamiltonians with weak random delta interaction ⋮ Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate ⋮ Lifshitz tails for Anderson models with sign-indefinite single-site potentials ⋮ On the spatial extent of localized eigenfunctions for random Schrödinger operators ⋮ Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum ⋮ Lifshitz tails for Schrödinger operators with random breather potential ⋮ Low lying spectrum of weak-disorder quantum waveguides ⋮ Conditional Wegner estimate for the standard random breather potential ⋮ Asymptotic ergodicity of the eigenvalues of random operators in the localized phase ⋮ Localization in asymmetric random displacements models with infinite range of interaction ⋮ Low lying eigenvalues of randomly curved quantum waveguides ⋮ Optimal volume Wegner estimate for random magnetic Laplacians on ${\mathbb {Z}}^2$Z2 ⋮ The weak localization for the alloy-type Anderson model on a cubic lattice ⋮ Wegner estimate for random magnetic Laplacian on \(\mathbb Z^2\) ⋮ Understanding the Random Displacement Model: From Ground State Properties to Localization ⋮ Band edge localization beyond regular Floquet eigenvalues ⋮ Estimates of initial scales for layers with small random negative-definite perturbations ⋮ Localisation for Delone operators via Bernoulli randomisation ⋮ Anderson localization in discrete random displacements models ⋮ An optimal result on localization in random displacements models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Localization for the random displacement model at weak disorder
- Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice
- Lifshitz tails for generalized alloy-type random Schrödinger operators
- Low energy properties of the random displacement model
- Brownian survival and Lifshitz tail in perturbed lattice disorder
- Power-law bounds on transfer matrices and quantum dynamics in one dimension
- Anderson localization for 2D discrete Schrödinger operators with random magnetic fields
- 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 Schrödinger operators with Poisson random potential
- Lower transport bounds for one-dimensional continuum Schrödinger operators
- Minimizing the ground state energy of an electron in a randomly deformed lattice
- Multiscale Analysis and Localization of Random Operators
- Spectral averaging and the Krein spectral shift
- 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
