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    AuthorTitleYearJournal/ProceedingsReftypeDOI/URL
    Ciuchi, S., de Pasquale, F., Fratini, S. & Feinberg, D. Dynamical mean-field theory of the small polaron 1997 prb
    Vol. 56, pp. 4494-4512 
    article DOI  
    Review: In this paper we develop DMFT for the single polaron. This paper is the base for the data presented in this page
    BibTeX:
    @article{1997PhRvB..56.4494C,
      author = {Ciuchi, S. and de Pasquale, F. and Fratini, S. and Feinberg, D.},
      title = {Dynamical mean-field theory of the small polaron},
      journal = {prb},
      year = {1997},
      volume = {56},
      pages = {4494-4512},
      doi = {http://dx.doi.org/10.1103/PhysRevB.56.4494}
    }
    
    Capone, M., Ciuchi, S. & Grimaldi, C. The small-polaron crossover: Comparison between exact results and vertex correction approximation 1998 Europhysics Letters
    Vol. 42, pp. 523-528 
    article DOI  
    Review: The small polaron crossover is studied. In particular the key role of the adiabatic parameter.
    BibTeX:
    @article{1998EL.....42..523C,
      author = {Capone, M. and Ciuchi, S. and Grimaldi, C.},
      title = {The small-polaron crossover: Comparison between exact results and vertex correction approximation},
      journal = {Europhysics Letters},
      year = {1998},
      volume = {42},
      pages = {523-528},
      doi = {http://dx.doi.org/10.1209/epl/i1998-00283-5}
    }
    
    Bronold, F.X., Saxena, A. & Bishop, A.R. Dynamics of a single electron in the disordered Holstein model 2001 Phys. Rev. B
    Vol. 63(23), pp. 235109 
    article DOI  
    Review: Effects of local (on-site) disorder on the polaron spectral properties
    BibTeX:
    @article{PhysRevB.63.235109,
      author = {Bronold, F. X. and Saxena, A. and Bishop, A. R.},
      title = {Dynamics of a single electron in the disordered Holstein model},
      journal = {Phys. Rev. B},
      publisher = {American Physical Society},
      year = {2001},
      volume = {63},
      number = {23},
      pages = {235109},
      doi = {http://dx.doi.org/10.1103/PhysRevB.63.235109}
    }
    
    Fratini, S., de Pasquale, F. & Ciuchi, S. Optical absorption from a nondegenerate polaron gas 2001 prb
    Vol. 63(15), pp. 153101-+ 
    article DOI  
    Review: A first paper on small polarons optical conductivity using DMFT.
    BibTeX:
    @article{2001PhRvB..63o3101F,
      author = {Fratini, S. and de Pasquale, F. and Ciuchi, S.},
      title = {Optical absorption from a nondegenerate polaron gas},
      journal = {prb},
      year = {2001},
      volume = {63},
      number = {15},
      pages = {153101-+},
      doi = {http://dx.doi.org/10.1103/PhysRevB.63.153101}
    }
    
    Fratini, S. & Ciuchi, S. Dynamical Mean-Field Theory of Transport of Small Polarons 2003 Physical Review Letters
    Vol. 91(25), pp. 256403-+ 
    article DOI  
    Review: The small polarons resistivity by DMFT.
    BibTeX:
    @article{2003PhRvL..91y6403F,
      author = {Fratini, S. and Ciuchi, S.},
      title = {Dynamical Mean-Field Theory of Transport of Small Polarons},
      journal = {Physical Review Letters},
      year = {2003},
      volume = {91},
      number = {25},
      pages = {256403-+},
      doi = {http://dx.doi.org/10.1103/PhysRevLett.91.256403}
    }
    
    Fratini, S. & Ciuchi, S. Spectral properties and isotope effect in strongly interacting systems: Mott-Hubbard insulator versus polaronic semiconductor 2005 prb
    Vol. 72(23), pp. 235107-+ 
    article DOI  
    Review: Spectral properties of small polaron semiconductors and Mott-Hubbard insulators are compared.
    BibTeX:
    @article{2005PhRvB..72w5107F,
      author = {Fratini, S. and Ciuchi, S.},
      title = {Spectral properties and isotope effect in strongly interacting systems: Mott-Hubbard insulator versus polaronic semiconductor},
      journal = {prb},
      year = {2005},
      volume = {72},
      number = {23},
      pages = {235107-+},
      doi = {http://dx.doi.org/10.1103/PhysRevB.72.235107}
    }
    
    Alvermann, A. & Fehske, H. Stochastic Green's function approach to disordered systems 2006 Journal of Physics: Conference Series
    Vol. 35, pp. 145-156 
    article URL 
    Abstract: Based on distributions of local Green's functions we present a stochastic approach to disordered systems. specifically we address Anderson localisation and cluster effects in binary alloys. Taking Anderson localisation of Holstein polarons as an example we discuss how this stochastic approach can be used for the investigation of interacting disordered systems.
    Review: Stat-DMFT a review
    BibTeX:
    @article{1742-6596-35-1-012,
      author = {A Alvermann and H Fehske},
      title = {Stochastic Green's function approach to disordered systems},
      journal = {Journal of Physics: Conference Series},
      year = {2006},
      volume = {35},
      pages = {145-156},
      url = {http://stacks.iop.org/1742-6596/35/145}
    }
    
    Berciu, M. Green's Function of a Dressed Particle 2006 Physical Review Letters
    Vol. 97(3), pp. 036402 
    article DOI URL 
    Review: The Momentum Average (MA) approximation
    BibTeX:
    @article{berciu:036402,
      author = {Mona Berciu},
      title = {Green's Function of a Dressed Particle},
      journal = {Physical Review Letters},
      publisher = {APS},
      year = {2006},
      volume = {97},
      number = {3},
      pages = {036402},
      url = {http://link.aps.org/abstract/PRL/v97/e036402},
      doi = {http://dx.doi.org/10.1103/PhysRevLett.97.036402}
    }
    
    Fratini, S. & Ciuchi, S. Optical properties of small polarons from dynamical mean-field theory 2006 prb
    Vol. 74(7), pp. 075101-+ 
    article DOI  
    Review: A long paper on small polarons optical conductivity describing its behaviour in all range of parameters.
    BibTeX:
    @article{2006PhRvB..74g5101F,
      author = {Fratini, S. and Ciuchi, S.},
      title = {Optical properties of small polarons from dynamical mean-field theory},
      journal = {prb},
      year = {2006},
      volume = {74},
      number = {7},
      pages = {075101-+},
      doi = {http://dx.doi.org/10.1103/PhysRevB.74.075101}
    }
    
    Goodvin, G.L., Berciu, M. & Sawatzky, G.A. Green's function of the Holstein polaron 2006 Physical Review B (Condensed Matter and Materials Physics)
    Vol. 74(24), pp. 245104 
    article DOI URL 
    Review: A longer paper on The Momentum Average approximation (MA)
    BibTeX:
    @article{goodvin:245104,
      author = {Glen L. Goodvin and Mona Berciu and George A. Sawatzky},
      title = {Green's function of the Holstein polaron},
      journal = {Physical Review B (Condensed Matter and Materials Physics)},
      publisher = {APS},
      year = {2006},
      volume = {74},
      number = {24},
      pages = {245104},
      url = {http://link.aps.org/abstract/PRB/v74/e245104},
      doi = {http://dx.doi.org/10.1103/PhysRevB.74.245104}
    }
    
    Berciu, M. & Goodvin, G.L. Systematic improvement of the momentum average approximation for the Green's function of a Holstein polaron 2007 Physical Review B (Condensed Matter and Materials Physics)
    Vol. 76(16), pp. 165109 
    article DOI URL 
    Review: The Momenutm Average (MA) approximation is improved systematically
    BibTeX:
    @article{berciu:165109,
      author = {Mona Berciu and Glen L. Goodvin},
      title = {Systematic improvement of the momentum average approximation for the Green's function of a Holstein polaron},
      journal = {Physical Review B (Condensed Matter and Materials Physics)},
      publisher = {APS},
      year = {2007},
      volume = {76},
      number = {16},
      pages = {165109},
      url = {http://link.aps.org/abstract/PRB/v76/e165109},
      doi = {http://dx.doi.org/10.1103/PhysRevB.76.165109}
    }
    
    Cappelluti, E., Ciuchi, S. & Fratini, S. Polaronic features in the optical properties of the Holstein t-J model 2007 prb
    Vol. 76(12), pp. 125111-+ 
    article DOI  
    Review: The optical conductivity of a low density gas of holes in the Holstein t-J model as a function of temperature in all range of parameters by DMFT.
    BibTeX:
    @article{2007PhRvB..76l5111C,
      author = {Cappelluti, E. and Ciuchi, S. and Fratini, S.},
      title = {Polaronic features in the optical properties of the Holstein t-J model},
      journal = {prb},
      year = {2007},
      volume = {76},
      number = {12},
      pages = {125111-+},
      doi = {http://dx.doi.org/10.1103/PhysRevB.76.125111}
    }
    
    Covaci, L. & Berciu, M. Holstein polaron: The effect of coupling to multiple-phonon modes 2007 EPL (Europhysics Letters)
    Vol. 80(6), pp. 67001 (6pp) 
    article URL 
    Abstract: We investigate the effects of coupling to multiple-phonon modes on the properties of a Holstein polaron. To this end, we generalize the Momentum Average approximations MA(0) and MA(1) to deal with multiple-phonon modes. As for a single-phonon mode, these approximations are found to be numerically very efficient. They become exact for very weak or very strong couplings, and are highly accurate in the intermediate regimes, e.g. the spectral weights obey exactly the first six, respectively eight, sum rules. Our results show that the effect on ground-state properties is cumulative in nature. As a result, if the effective coupling to one mode is much larger than to all the others, this mode effectively determines the ground-state properties. However, even very weak coupling to a second phonon mode has important non-perturbational effects on the higher-energy spectrum, in particular on the dispersion and the phonon statistics of the polaron band. This has important consequences on the analysis and interpretation of data for real materials.
    BibTeX:
    @article{0295-5075-80-6-67001,
      author = {L. Covaci and M. Berciu},
      title = {Holstein polaron: The effect of coupling to multiple-phonon modes},
      journal = {EPL (Europhysics Letters)},
      year = {2007},
      volume = {80},
      number = {6},
      pages = {67001 (6pp)},
      url = {http://stacks.iop.org/0295-5075/80/67001}
    }
    
    Goodvin, G.L. & Berciu, M. Momentum average approximation for models with electron-phonon coupling dependent on the phonon momentum 2008 Physical Review B (Condensed Matter and Materials Physics)
    Vol. 78(23), pp. 235120 
    article DOI URL 
    Review: Non local e-ph approx in the MA approximation
    BibTeX:
    @article{goodvin:235120,
      author = {Glen L. Goodvin and Mona Berciu},
      title = {Momentum average approximation for models with electron-phonon coupling dependent on the phonon momentum},
      journal = {Physical Review B (Condensed Matter and Materials Physics)},
      publisher = {APS},
      year = {2008},
      volume = {78},
      number = {23},
      pages = {235120},
      url = {http://link.aps.org/abstract/PRB/v78/e235120},
      doi = {http://dx.doi.org/10.1103/PhysRevB.78.235120}
    }
    

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