# Parallel magnetic field driven quantum phase transition in a thin topological insulator film

@article{Zyuzin2011ParallelMF,
title={Parallel magnetic field driven quantum phase transition in a thin topological insulator film},
author={Alexander A. Zyuzin and Michael David Hook and Anton A. Burkov},
journal={Physical Review B},
year={2011},
volume={83}
}
• Published 2 February 2011
• Physics
• Physical Review B
It is well-known that helical surface states of a three-dimensional topological insulator (TI) do not respond to a static in-plane magnetic field. Formally this occurs because the in-plane magnetic field appears as a vector potential in the Dirac Hamiltonian of the surface states and can thus be removed by a gauge transformation of the surface electron wavefunctions. Here we show that when the top and bottom surfaces of a thin film of TI are hybridized and the Fermi level is in the…
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## References

SHOWING 1-10 OF 33 REFERENCES
Inverse spin-galvanic effect in the interface between a topological insulator and a ferromagnet.
• Physics
Physical review letters
• 2010
The possibility of dissipationless current-induced magnetization reversal in monolayer-thin, insulating ferromagnets with a soft perpendicular anisotropy is studied and possible applications of this effect are discussed.
Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Physics
• 2010
We study transport and optical properties of the surface states which lie in the bulk energy gap of a thin-film topological insulator. When the film thickness is comparable with the surface state
Electric charging of magnetic textures on the surface of a topological insulator
• Physics
• 2010
A three-dimensional topological insulator manifests gapless surface modes, described by two-dimensional Dirac equation. We study magnetic textures, such as domain walls and vortices, in a
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
• Physics
• 2009
Recent experiments and theories have suggested that strong spin–orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator,
Spin and charge transport on the surface of a topological insulator.
• Physics
Physical review letters
• 2010
The diffusion equations, which describe spin-charge coupled transport on the helical metal surface of a three-dimensional topological insulator, are derived and a new magnetoresistance effect is predicted, which manifests in a non-Ohmic correction to a voltage drop between a ferromagnetic spin-polarized electrode and a nonmagnetic electrode.
Exciton condensation and charge fractionalization in a topological insulator film.
• Physics
Physical review letters
• 2009
This work shows that in a thin-film geometry and under external bias, electron-hole pairs that reside in these surface states can condense to form a novel exotic quantum state which it proposes to call "topological exciton condensate" (TEC).
Magnetotransport of Dirac fermions on the surface of a topological insulator
• Physics
• 2010
We study the properties of Dirac fermions on the surface of a topological insulator in the presence of crossed electric and magnetic fields. We provide an exact solution to this problem and
Anomalous magnetoresistance of a two-dimensional ferromagnet/ferromagnet junction on the surface of a topological insulator
• Physics
• 2010
We investigate charge transport in two-dimensional ferromagnet/ferromagnet junction on a topological insulator. The conductance across the interface depends sensitively on the directions of the
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Physics
Science
• 2006
We show that the quantum spin Hall (QSH) effect, a state of matter with topological properties distinct from those of conventional insulators, can be realized in mercury telluride–cadmium telluride
Tuning the conductance of dirac fermions on the surface of a topological insulator.
• Physics
Physical review letters
• 2010
It is shown 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, which leads to the possible realization of a magnetic switch using these junctions.