Persistent currents in Dirac fermion rings

Doru Sticlet, B. Dóra, Jérôme Cayssol

Research output: Contribution to journalArticle

19 Citations (Scopus)

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 current 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.

Original languageEnglish
Article number205401
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume88
Issue number20
DOIs
Publication statusPublished - Nov 4 2013

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Fermions
fermions
Impurities
rings
continuums
impurities
Electron energy levels
Analytical models
decay
symmetry
Temperature
simulation
temperature
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Persistent currents in Dirac fermion rings. / Sticlet, Doru; Dóra, B.; Cayssol, Jérôme.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 88, No. 20, 205401, 04.11.2013.

Research output: Contribution to journalArticle

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