PT phase transition in a (2+1)-d relativistic system
Bhabani Prasad Mandal, Brijesh K. Mourya, Kawsar Ali, Ananya Ghatak
TL;DR
This paper analytically investigates PT phase transitions in a (2+1)-dimensional relativistic system with a massless Dirac particle, revealing critical conditions for phase change due to imaginary Rashba interaction or magnetic field, and constructing relativistic Landau levels.
Contribution
It provides an analytical study of PT phase transitions in a relativistic Dirac system with non-Hermitian interactions, including explicit construction of Landau levels.
Findings
PT phase transition occurs at critical interaction or magnetic field strength.
A small mass gap appears in the unbroken phase.
Relativistic Landau levels are explicitly constructed.
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.
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