Journal
PHYSICAL REVIEW B
Volume 75, Issue 1, Pages -Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevB.75.014307
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We calculate the real space and time formation of a polaron quasiparticle from a bare electron. The time-dependent Schrodinger equation for the Holstein model of electron-phonon coupling is numerically integrated in a large Hilbert space to obtain the time evolution of the electron and phonon densities and the electron-phonon (el-ph) correlation functions. The quantum dynamical nature of the phonons is preserved. As the el-ph coupling increases, qualitative changes in polaron formation occur when the one-phonon polaron bound state forms. A potential barrier between the quasifree and heavy polaron states exists in dimensions D >= 2, consistent with earlier adiabatic theory. We compare to recent experiments.
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