Thermodynamics of quantum phase transitions of a Dirac oscillator in a homogenous magnetic field
A M Frassino, D Marinelli, O Panella, P Roy
Abstract
Abstract The Dirac oscillator in a homogeneous magnetic field exhibits a chirality phase transition at a particular (critical) value of the magnetic field. Recently, this system has also been shown to be exactly solvable in the context of noncommutative quantum mechanics featuring the interesting phenomenon of re-entrant phase transitions. In this work we provide a detailed study of the thermodynamics of such quantum phase transitions (both in the standard and in the noncommutative case) within the Maxwell–Boltzmann statistics pointing out that the magnetization has discontinuities at critical values of the magnetic field even at finite temperatures.
Topics & Concepts
PhysicsQuantum phase transitionMagnetic fieldCondensed matter physicsQuantum mechanicsMagnetizationDirac (video compression format)Phase transitionQuantumContext (archaeology)Quantum phasesNoncommutative geometryField (mathematics)Classification of discontinuitiesPhase (matter)Work (physics)Superfluid filmQuantum critical pointQuantum electrodynamicsQuantum statistical mechanicsChirality (physics)Quantum field theoryNoncommutative and Quantum Gravity TheoriesQuantum many-body systemsAdvanced Operator Algebra Research