PT phase transition in a \((2+1)\)-d relativistic system. (English) Zbl 1360.81162
Summary: 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.
MSC:
| 81Q12 | Nonselfadjoint operator theory in quantum theory including creation and destruction operators |
Keywords:
PT phase transition in \(2+1\) d relativistic system; non-Hermitian PT symmetric relativistic system; Dirac oscillator; massless Dirac particle with imaginary Rashba interaction; generation of mass gap in unbroken PT phase; lowest Landau levelsReferences:
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