Re-entrant phase transitions in non-commutative quantum mechanics

23rd International Conference on Integrable Systems and Quantum Symmetries

Panella, Orlando^1 ; Roy, Pinaki^2

INFN, Sezione di Perugia, Via A. Pascoli, Perugia

I-06123, Italy^1

Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, India^2

关键词: Black Hole physics;    Chiral phase transitions;    Commutativity;    Condensed matter;    Non-commutative quantum mechanics;    Noncommutativity;    Quantum phase transitions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012040/pdf
DOI  :  10.1088/1742-6596/670/1/012040

来源: IOP

【 摘 要 】

We discuss the (2+1)-dimensional Dirac oscillator in a magnetic field in non commutative quantum mechanics. The system is known to be characterised by a left right- chiral phase transition in ordinary Quantum mechanics. We show that the momentum noncommutativity shifts the know phase transition while the space non commutativity introduces a new right-left chiral quantum phase transition giving rise to the intriguing phenomenon of re-entrant phase transition observed in condensed matter as well as in black hole physics.