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Exotic Phases of Strongly Correlated Fermions in Low Dimensions

Student: Potapova Anastasiya

Supervisor: Evgeny Burovskiy

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Supercomputer Modeling in Science and Engineering (Master)

Final Grade: 8

Year of Graduation: 2021

We investigate quasi-one-dimensional systems of a two-component spin-polarized Fermi gas at zero temperature based on the quantum Hubbard model. Specifically, various profiles of the grand canonical phase diagrams of ladder-type lattices are investigated when some parameters of the system change, such as the number of guides in the ladders, the transverse amplitude of tunneling and the type of boundary conditions. The results obtained allow us to see a significant difference between a one-dimensional system and quasi-one-dimensional systems and it is possible to reveal some patterns of these differences.

Full text (added May 20, 2021)

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