Feshbach-Schur RG for the Anderson Model

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• John Imbrie (University of Virginia)
• Friday 26 October 2018, 14:30-15:30
• Seminar Room 1, Newton Institute.

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SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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