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We present numeric results for ground state and angle resolved photoemissionspectra (ARPES) for single hole in t-J model coupled to optical phonons. Thesystematic-error free diagrammatic Monte Carlo is employed where the Feynmangraphs for the Matsubara Green function in imaginary time are summed upcompletely with respect to phonons variables, while magnetic variables aresubjected to non-crossing approximation. We obtain that at electron-phononcoupling constants relevant for high Tc cuprates the polaron undergoesself-trapping crossover to strong coupling limit and theoretical ARPESdemonstrate features observed in experiment: a broad peak in the bottom of thespectra has momentum dependence which coincides with that of hole in pure t-Jmodel.Comment: 4 pages, 4 figure

physical review letters

Electron-Phonon Coupling and a Polaron in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mtext mathvariant="normal">−</mml:mtext><mml:mi>J</mml:mi></mml:math>Model: From the Weak to the Strong Coupling Regime

Electron-Phonon Coupling and a Polaron in thet−JModel: From the Weak to the Strong Coupling Regime