Density matrix embedding theory for interacting electron-phonon systems
We describe the extension of the density matrix embedding theory framework to coupled interacting fermion-boson systems. This provides a frequency-independent, entanglement embedding formalism to treat bulk fermion-boson problems. We illustrate the concepts within the context of the one-dimensional Hubbard-Holstein model, where the phonon bath states are obtained from the Schmidt decomposition of a self-consistently adjusted coherent state. We benchmark our results against accurate density matrix renormalization group calculations.
© 2016 American Physical Society. Received 12 February 2016. Revised 24 June 2016. We are grateful to Eric Jeckelmann and Holger Fehske for supplying the DMRG reference energies. We acknowledge helpful discussions with Boxiao Zheng. This work was primarily supported by the US Department of Energy via DE-SC0010530. Additional support was provided by the US Department of Energy, SciDAC DE-SC0008624, as well as through the Simons Foundation, through the Simons Collaboration on the Many-Electron Problem.
Accepted Version - 1602.04195.pdf
Published - PhysRevB.94.085115.pdf