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The Holstein polaron: results from numerical and analytical ... - PiTP

The Holstein polaron: results from numerical and analytical ... - PiTP

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weak coupling, g = “small” low-energy eigenstates of known k:<br />

with eigenenergies (for k< k cross )<br />

E k<br />

<strong>The</strong> phonons can be<br />

quite far spatially <strong>from</strong> the<br />

electron large <strong>polaron</strong><br />

<strong>polaron</strong> + one- phonon<br />

continuum (finite lifetimes)<br />

k<br />

Ω<br />

<strong>polaron</strong> b<strong>and</strong> (infinitely<br />

long-lived quasiparticle)<br />

high-k: wavefunction<br />

dominated by el+1ph<br />

contributions<br />

low-k: wavefunction dominated<br />

by free electron contribution

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