Statistical Mechanical Interpretation of 2D Pauli Crystals

Swarnava Mitra; Aditya Mishra

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arXiv · 2203.07053

Statistical Mechanical Interpretation of 2D Pauli Crystals

Swarnava Mitra·Aditya Mishra

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Abstract

A manifestation of the Pauli Exclusion Principle is observed when fermions are trapped in the ground state of a 2D harmonic oscillator trap at very low temperatures. This non-interaction of fermions results in the formation of Pauli crystals. This work introduces a statistical mechanical interpretation of the principles that led to the observation of Pauli crystals by calculating the energy, radius and other parameters of the non-interacting arrangement of ultra-cold fermions. This model approaches the problem from two different directions, namely fermion degeneracy and harmonic oscillator treatment. Unifying the two different approaches gives a more comprehensive and robust description of the various parameters of Pauli crystals.

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Swarnava Mitra, Aditya Mishra. 2022-03-14. Statistical Mechanical Interpretation of 2D Pauli Crystals. https://arxiv.org/abs/2203.07053

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