Multiple non-hermitian phase transitions on quantum torus surface

• URL: http://arxiv.org/abs/2408.12108v1
• Date: Thu, 22 Aug 2024 03:45:16 GMT
• Title: Multiple non-hermitian phase transitions on quantum torus surface
• Authors: José A. S. Lourenço, Ygor Pará, J. Furtado,
• Abstract summary: We consider a single fermion whose dynamics is governed by the Dirac equation confined to move on a quantum torus surface. The effects of the geometry are take into account by using the tetrad formalism and the spin connection.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper we investigate the arising of non-hermitian phase transitions on quantum torus surfaces. We consider a single fermion whose dynamics is governed by the Dirac equation confined to move on a quantum torus surface. The effects of the geometry are take into account by using the tetrad formalism and the spin connection. The Dirac equation gives rise to two coupled first-order differential equations for each spinor component. The eigenvalues and eigenfunctions for each spinor component are computed numerically and the non-hermitian phase transitions are investigated in terms of the geometric features of the torus and the magnitude of the imaginary component of the mass.

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