2015/09/24 by Bhabani Prasad Mandal, Brijesh Kumar Mourya, Brijesh K. Mourya +3
Physics and Astronomy · #Condensed matter physics #Dirac (video compression format) #Hermitian matrix #Massless particle #Mathematical physics #Neutrino #Phase (matter) #Phase transition #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spectrum (functional analysis) #Topological Materials and Phenomena #hep-th #quant-ph
paper · pdf · doi:10.1016/j.aop.2015.09.022
published as Annals of Physics, Volume 363 (2015), 185-193 · 13 pages, Latex, 2 Figs ( Version to appear in Annals of Physics)
arxiv created 2015/09/24 · openalex publication_date 2015/10/10 · arxiv updated 2016/04/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.