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PhD research thesis

Interacting Fermions
with SU(N) symmetry

What do insulation, magnetism and superconductivity have in common? All of these diverse and interesting properties of materials arise from the behavior of electrons in a lattice.

I seek to understand this behavior by stripping the system down to its very simple form named the Hubbard model, which accurately describes ultracold atomic systems that serve as quantum simulators of macroscopic materials.

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Thermodynamics and magnetism  in the 2D-3D crossover of the Hubbard model

Anisotropic systems are relevant to the physics of cuprate superconductors and other strongly correlated phenomena. In this work, I studied a simple realization of an anisotropic Hubbard model that interpolates from 2D-3D. 

An interesting implication of the work is that as the system evolves from 3D to 2D, the entropy at a fixed temperature increases. Correspondingly, at fixed entropy, the temperature will decrease going from 3D to 2D. This suggests a cooling protocol in which the dimensionality is adiabatically changed from 3D to 2D.

Phys. Rev. A 102, 033340 (2020)

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