Persistent currents in Dirac fermion rings

Abstract

The persistent current in strictly one-dimensional Dirac systems is investigated within two different models, defined in the continuum and on a lattice, respectively. The object of the study is the effect of a single magnetic or nonmagnetic impurity in the two systems. In the continuum Dirac model, an analytical expression for the persistent current flowing along a ring with a single delta-like magnetic impurity is obtained after regularization of the unbounded negative energy states. The predicted decay of the persistent agrees with the lattice simulations. The results are generalized to finite temperatures. To realize a single Dirac massless fermion, the lattice model breaks the time-reversal symmetry, and, in contrast with the continuum model, a pointlike nonmagnetic impurity can lead to a decay in the persistent current.

18 pages, 14 figures

References in corpus (13)

• The electronic properties of graphene
• Classification of topological insulators and superconductors in three spatial dimensions
• Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
• Persistent currents in normal metal rings
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Topology induced anomalous defect production by crossing a quantum critical point
• Quasi-ballistic transport of Dirac fermions in a Bi2Se3 nanowire
• Thermal Instability of Protected End States in a 1-D Topological Insulator
• Spherical topological insulator
• Non-Equilibrium Transport Through a Gate-Controlled Barrier on the Quantum Spin Hall Edge
• Searching for thermal signatures of persistent currents in normal metal rings

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