Wolf, Fabian Alexander (2015): Solving dynamical mean-field theory using matrix product states. Dissertation, LMU München: Faculty of Physics |

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**DOI**: 10.5282/edoc.18937

### Abstract

This thesis advances and applies matrix product state (MPS) based algorithms to the solution of dynamical mean-field theory (DMFT) and its variants. The advances enable to solve quantum many-body problems in and out of equilibrium that were previously out of reach for any numerical treatment. In equilibrium, this concerns in particular the computation of the electronic --- such as insulating, metallic, spin-freezed and many other --- phases of highly complex realistic models for correlated materials. In non-equilibrium, this concerns in particular the understanding of the fundamental mechanisms of the relaxation behavior of quantum many-body systems on short and intermediate time scales.

Item Type: | Theses (Dissertation, LMU Munich) |
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Subjects: | 500 Natural sciences and mathematics 500 Natural sciences and mathematics > 530 Physics |

Faculties: | Faculty of Physics |

Language: | English |

Date of oral examination: | 16. October 2015 |

1. Referee: | Schollwöck, Ulrich |

MD5 Checksum of the PDF-file: | d3d1c4116f3a2cdb322d236eb7a5ea9d |

Signature of the printed copy: | 0001/UMC 23462 |

ID Code: | 18937 |

Deposited On: | 19. Jan 2016 08:38 |

Last Modified: | 23. Oct 2020 21:24 |