PT phase transition in a (2+1)-d relativistic system

Abstract

We study a massless Dirac particle with PT symmetric non-Hermitian Rashba interaction in the background of Dirac oscillator potential to show the PT phase transition in a (2+1) dimensional relativistic system analytically. PT phase transition occurs when strength of the (i) imaginary Rashba interaction or (ii) transverse magnetic field exceed their respective critical values. Small mass gap in the spectrum, consistent with other approaches is generated as long as the system is in the unbroken phase. Relativistic Landau levels are constructed explicitly for such a system.

arXiv comment13 pages, Latex, 2 Figs ( Version to appear in Annals of Physics)

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Cited by in corpus (9)

• Eigenstate entanglement entropy in $PT$ invariant non-Hermitian system
• Deconfinement to Confinement as PT phase transition
• New scattering features in non-Hermitian space fractional quantum mechanics
• $PT$-symmetric graphene under a magnetic field
• PT-Symmetry Breaking Transitions in Polymeric Systems
• A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
• Fall-to-the-centre as a $\mathcal{P}\mathcal{T}$ symmetry breaking transition
• Emergence of Hermitian topology from non-Hermitian knots
• Quantum phase transitions and entanglement entropy in a non-Hermitian Jaynes-Cummings model