2010
DOI: 10.1103/physrevlett.104.046403
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Tuning the Conductance of Dirac Fermions on the Surface of a Topological Insulator

Abstract: We study the transport properties of the Dirac fermions with a Fermi velocity v{F} on the surface of a topological insulator across a ferromagnetic strip providing an exchange field J over a region of width d. We show that the conductance of such a junction, in the clean limit and at low temperature, changes from oscillatory to a monotonically decreasing function of d beyond a critical J. This leads to the possible realization of a magnetic switch using these junctions. We also study the conductance of these D… Show more

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Cited by 123 publications
(109 citation statements)
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“…In this work, we are interested in how this local TRS breaking affects the surface states of the TI. However, the local TRS breaking occurs at a length scale which is of the order of the lattice spacing in the antiferromagnet (for e.g., 8.85Å for MnO). Therefore the effects of local TRS breaking occur at very large momenta, which makes it difficult to observe them in experiments.…”
mentioning
confidence: 99%
See 1 more Smart Citation
“…In this work, we are interested in how this local TRS breaking affects the surface states of the TI. However, the local TRS breaking occurs at a length scale which is of the order of the lattice spacing in the antiferromagnet (for e.g., 8.85Å for MnO). Therefore the effects of local TRS breaking occur at very large momenta, which makes it difficult to observe them in experiments.…”
mentioning
confidence: 99%
“…One of the mechanisms by which the surface modes can be disrupted is by breaking the time reversal invariance upon applying a magnetic field. There have been several studies on the effects of a magnetic field either applied directly perpendicular to the surface of a TI 7 or by the proximity effect of a ferromagnet in a heterostructure 8,9 . On the other hand, the effects of an antiferromagnet or a spin density wave on the surface states of the TI is a topic which is much less well-explored.…”
mentioning
confidence: 99%
“…Experiments aimed at observing such phenomena have primarily focused on magnetically doped TIs [3][4][5][6][7]. Complementary to the direct magnetic doping of TIs, several theoretical schemes have proposed explorations of a different sample geometry wherein a patterned ferromagnet (FM) is interfaced with a TI [8][9][10][11]. When the magnetic easy axis of the FM overlayer is out-of-plane, a gap opens in the surface states of the vicinal TI and this massive Dirac Hamiltonian should lead to chiral 1D edge states along FM domain walls where the mass changes sign.…”
mentioning
confidence: 99%
“…We find that the approximate formula fits well already for ∆ 0.5 and show in Fig. 3 the comparison between the full integration and the approximation (10).…”
Section: The Out-of-plane Configurationmentioning
confidence: 62%
“…Proximity induced ferromagnetism, where the order parameter can in general be inhomogeneous and timedependent gives rise to phenomena interesting for spintronics and magnetotransport [10][11][12][13] . Due to the spinmomentum locking, electrical current flow leads to a significant contribution to the spin-torque acting on the magnetization dynamics [11][12][13] .…”
Section: Introduction and Modelmentioning
confidence: 99%