Numerical solution of the Holstein polaron problem
نویسندگان
چکیده
منابع مشابه
Phonon spectral function of the Holstein polaron
The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small charge-carrier density are related to the known (electronic) spectral properties of Holstein polarons such as the polaron band dispersion. Particular emphasis is laid...
متن کاملSpectral functions of the spinless Holstein model
An analytical approach to the one-dimensional spinless Holstein model is proposed, which is valid at finite charge-carrier concentrations. Spectral functions of charge carriers are computed on the basis of self-energy calculations. A generalization of the Lang-Firsov canonical transformation method is shown to provide an interpolation scheme between the extreme weak– and strong-coupling cases. ...
متن کاملVariational study of the Holstein polaron
The paper deals with the ground and the first excited state of the polaron in the one dimensional Holstein model. Various variational methods are used to investigate both the weak coupling and strong coupling cases, as well as the crossover regime between them. Two of the methods, which are presented here for the first time, introduce new elements to the understanding of the nature of the polar...
متن کاملThe small polaron crossover: comparison between exact results and vertex correction approximation
We study the phase diagram of Holstein model for a single electron by means of both exact and self-consistent calculations in one dimension and on an infinite coordination lattice. We show that the crossover occurs when both strong coupling (λ > 1) and multiphonon (α > 1) conditions are fulfilled. We also show that the self-consistent calculations obtained by including the first electron-phonon...
متن کاملThe Holstein Polaron
We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest computational resources (12-digit accuracy for the 1d polaron energy at intermediate coupling). We compute ground and low-lying excited state properties of the model at...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008