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An insulated state in a non-interacting system arising from the destructive interference among multiple-scattering paths in a condensed matter system.

2 votes
1 answer
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Divergences in resolvent expansion of Anderson hamiltonian

I'm reading these lecture notes on Anderson localization, and I cannot understand how the resonant regions contribute to the divergence of the resolvent expansion (sections 3.1 and 3.2). The relevant …
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2 votes
1 answer
637 views

A quadratic Hamiltonian is a model of independent particles - why?

I'm reading some notes on the Anderson Hamiltonian: $$ H=\sum h_i c_i^\dagger c_i -q\sum_{\langle i,j\rangle}(c_i^\dagger c_j+c_j^\dagger c_i)$$ Where the $c_i/c_i^\dagger$ are fermionic annihilation/ …
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