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beddalumia authored Nov 2, 2020
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Expand Up @@ -7,9 +7,9 @@ Brief description of the contenent:

- **HFHubbardLab** is a theoretically inclined training on static mean-field (*aka* Hartree Fock) treatment of Hubbard models. Nevertheless some interesting numerical aspects arise as stability of the self-consistency loop is concerned (mainly around first-order critical lines, where the loop may converge on metastable solutions). The correspondent preparatory course has been given by prof. Massimo Capone at SISSA.

- **HeisenbergED** is an exact diagonalization implementation for the spin-1/2 XXX model, focusing on Sz- and momentum- sectors selection as a physics informed routine for the block-reduction of the eigenproblem. Due to prohibitive scaling of the many-body Hilbert space special attention has been devoted to memory management and fast build of matrices, following closely the standard reference by Sandvik ([arXiv:1101.3281](https://arxiv.org/abs/1101.3281)). Furthermore a statistical analysis based on *Phys. Rev. B 75, 155111 (2007)* has been carried out on the ED results. Correspondent preparatory lectures have been given by prof. Mario Collura at SISSA.
- **HeisenbergED** is an exact diagonalization implementation for the spin-1/2 XXX model, focusing on Sz- and momentum- sectors selection as a physics informed routine for the block-reduction of the eigenproblem. Due to prohibitive scaling of the many-body Hilbert space, special attention has been devoted to memory management and fast build of matrices, following closely the standard reference by Sandvik ([arXiv:1101.3281](https://arxiv.org/abs/1101.3281)). Further statistical analysis, based on *Phys. Rev. B 75, 155111 (2007)*, has been carried out on the ED results. Correspondent preparatory lectures have been given by prof. Mario Collura at SISSA.

- **SolidStateLab** consists of three distinct projects, tackled within the infamous *Solid-State Problems* course given by prof. Stefano de Gironcoli at SISSA. Main focus is electronic structure theory, ranging from more-or-less-realistic tight binding calculations on 2D materials to berry-phase-related properties of minimalistic topological models. The final problem set on lattice dynamics shifts towards a more quantitative point of view, focusing on accurate reproduction of experimental literature.
- **SolidStateLab** consists of three distinct projects, tackled within the infamous *Solid-State Problems* course given by prof. Stefano de Gironcoli at SISSA. Main focus is electronic structure theory, ranging from more-or-less-realistic tight binding calculations on 2D materials to berry-phase-related properties of minimalistic topological models. The final problem set on lattice dynamics shifts towards a more quantitative approach, focusing on accurate reproduction of experimental literature.

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