Quantum phase transitions of the Dirac oscillator in a minimal length scenario
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We obtain exact solutions of the (2+1) dimensional Dirac oscillator in a homogeneous magnetic field within a minimal length ($\Delta x_0=\hbar \sqrt{\beta}$), or generalised uncertainty principle (GUP) scenario. This system in ordinary quantum mechanics has a single left-right chiral quantum phase transition (QPT). We show that a non zero minimal length turns on a infinite number of quantum phase transitions which accumulate towards the known QPT when $\beta \to 0$. It is also shown that the presence of the minimal length modifies the degeneracy of the states and that in this case there exist a new class of states which do not survive in the ordinary quantum mechanics limit $\beta \to 0$.
Original language | English |
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Article number | 045032 |
Journal | Physical review D: Particles and fields |
Volume | 91 |
Number of pages | 8 |
ISSN | 0556-2821 |
DOIs | |
Publication status | Published - 2015 |
Externally published | Yes |
Bibliographical note
7 pages, 1 figure
ID: 211817712