## Abstract

A theory of high-energy optical conductivity of La_{0.7}Ca_{0.3}MnO_{3} has been proposed previously. The proposed theory works to explain the temperature-dependence of the optical conductivity for the photon energy region above ∼0.5 eV for up to ∼22 eV, but fails to capture the correct physics close to the dc limit in which metal-insulator transition occurs. The missing physics at the low energy has been acknowledged as mainly due to not incorporating phonon degree of freedom and electron-phonon interactions. In this study, we aim to complete the above theory by proposing a more complete Hamiltonian incorporating additional terms such as crystal field, two modes of Jahn-Teller vibrations, and coupling between electrons and the two Jahn-Teller vibrational modes. We solve the model by means of dynamical mean-field theory. At this stage, we aim to derive the analytical formulae involved in the calculation, and formulate the algorithmic implementation for the self-consistent calculation process. Our final goal is to compute the density of states and the optical conductivity for the complete photon energy range from 0 to 22 eV at various temperatures, and compare them with the experimental data. We expect that the improved model preserves the correct temperature-dependent physics at high photon energies, as already captured by the previous model, while it would also reveal ferromagnetic metal - paramagnetic insulator transition at the dc limit.

Original language | English |
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Title of host publication | International Symposium on Current Progress in Mathematics and Sciences 2016, ISCPMS 2016 |

Subtitle of host publication | Proceedings of the 2nd International Symposium on Current Progress in Mathematics and Sciences 2016 |

Editors | Kiki Ariyanti Sugeng, Djoko Triyono, Terry Mart |

Publisher | American Institute of Physics Inc. |

ISBN (Electronic) | 9780735415362 |

DOIs | |

Publication status | Published - 10 Jul 2017 |

Event | 2nd International Symposium on Current Progress in Mathematics and Sciences 2016, ISCPMS 2016 - Depok, Jawa Barat, Indonesia Duration: 1 Nov 2016 → 2 Nov 2016 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1862 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

Conference | 2nd International Symposium on Current Progress in Mathematics and Sciences 2016, ISCPMS 2016 |
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Country/Territory | Indonesia |

City | Depok, Jawa Barat |

Period | 1/11/16 → 2/11/16 |

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