A Spin $1/2$ Fermions Chain with $XY$ Interaction

• URL: http://arxiv.org/abs/2105.04326v1
• Date: Mon, 10 May 2021 13:04:17 GMT
• Title: A Spin $1/2$ Fermions Chain with $XY$ Interaction
• Authors: Gianluca Francica
• Abstract summary: We consider a chain of spinful fermions with nearest neighbor hopping in the presence of a $XY$ antiferromagnetic interaction. The $XY$ term is mapped onto a Kitaev chain at half-filling such that displays a bosonic zero mode topologically protected and long-range order.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider a chain of spinful fermions with nearest neighbor hopping in the presence of a $XY$ antiferromagnetic interaction. The $XY$ term is mapped onto a Kitaev chain at half-filling such that displays a bosonic zero mode topologically protected and long-range order. As the strength of the hopping amplitude is changed, the system undergoes a quantum phase transition from the topological non-trivial to the trivial phase. We apply the finite-size scaling method to determinate the phase diagram of the model.

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