Feshbach-Schur RG for the Anderson Model
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About this item
| Description: |
Imbrie, J
Friday 26th October 2018 - 14:30 to 15:30 |
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| Created: | 2018-10-29 10:38 |
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| Collection: | Scaling limits, rough paths, quantum field theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Imbrie, J |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Consider the localization problem for the Anderson model of a quantum particle moving in a random potential. We develop a renormalization-group framework based on a sequence of Feshbach-Schur maps. Each map produces an effective Hamiltonian on a lower-dimensional space by localizing modes in space and in energy. Randomness in ever-larger neighborhoods produces nontrivial eigenvalue movement and separates eigenvalues, making the next step of the RG possible. We discuss a particularly challenging case where the disorder has a discrete distribution. |
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