Questions tagged [anderson-localization]

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

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Deriving spatial correlation of the intensity of multifractal eigenstates

I am struggling how to derive the spatial correlation of the intensity of multifractal eigenstates. From the book '50 Years of Anderson Localization, page 114', the following correlation holds (Eq.(2....
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Inverse participation ratio (IPR) literature

I am curently working with the inverse participation ratio (IPR) as a measure of localization but I can't find literature that just explains why and how exactly it relates to localization. I get the ...
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Intuition behind bound of second moment of Greens function by fractional moment

Consider the Hilbert space $\mathcal{H} = l^2(\mathbb{Z}^d)$ for some dimension $d$ with basis given by the basisvectors $\{ \vert {x} \rangle \}_{x \in \mathbb{Z}^d}$. Let $A$ be an either self-...
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(Anderson Localization)Time evolution of occupation number of free fermion model

I encounter a difficulty in comouting the time evolution of occupation number. I want to compute the time evolution of occupation number of Aubry-Andre model to show that there exists Anderson ...
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Experimental detection of Anderson localization of light in 3D vs 2D

I have a question about the experimental realization of Anderson localization of light. I am a theorist, and have not worked much in optics, so please bear with me. Anderson localization of light in ...
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Scale invariance beyond the critical point

Using Anderson localization as an example, I understand how scale invariance comes into play at a critical point - at a critical point, the localization length $\xi$ (the average "radius" of ...
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Phase transition vs. critical phenomena

Just trying to get some clarity in terminology: is phase transitions synonymous with critical phenomena? At the first glance they mean the same thing, but I am not sure whether phase transitions ...
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What is the meaning or definition of 'correlation length' in the context of Anderson localization?

I was reading a paper that talks about Anderson localization. It mentions the quantity called 'correlation length' or 'localization length' but no formal definition is given as to what it actually ...
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Proof that the self-energy is an inverse lifetime

My question concerns the self-energy of a diagonal propagator for a single-particle lattice problem. The context is Anderson Localisation, but really it's a problem of complex analysis. I would like ...
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What is many body localization?

Is there any good definition of many body localization? It is the property of one state or it is the property of a Hamiltonian? Why does disorder play an important role in many body localization? ...
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Localization of wave or particles

Nonlinear field theories contain a large number of localized solutions. I have found this text in a article. What I don't understand is "what is localized?". Is it refer defining position ...
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