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Anisotropic conductivity in magnetic topological insulators
A Sabzalipour1, J Abouie, S H Abedinpour
1Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731,Iran.
We investigated surface conductivity in magnetic topological insulators (TIs). Doping with magnetic impurities creates anisotropic conductivity, with minimum conductivity when impurity spins are perpendicular to the TI surface.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Phenomena
Background:
- Topological insulators (TIs) possess unique surface states with spin-momentum locking.
- Magnetic impurities break time-reversal symmetry, influencing surface electron behavior.
- Standard relaxation time approximations fail due to anisotropic scattering in magnetic TIs.
Purpose of the Study:
- To investigate the surface conductivity of a three-dimensional topological insulator (3D TI) doped with magnetic impurities.
- To develop a theoretical framework applicable to systems where standard approximations are invalid.
- To analyze the dependence of surface conductivity on magnetic impurity properties and bulk magnetization.
Main Methods:
- Utilized the semiclassical Boltzmann approach.
- Employed a generalized relaxation time scheme to account for anisotropic scattering.
- Derived closed-form expressions for relaxation times and analytic formulas for surface conductivity.
Main Results:
- Surface conductivity is anisotropic and strongly dependent on impurity spin orientation and bulk magnetization.
- Minimum surface conductivity occurs when impurity spins are aligned perpendicular to the TI surface.
- Enhanced backscattering probability is observed due to magnetic torque from impurities.
Conclusions:
- The study provides a theoretical model for surface conductivity in magnetic TIs.
- Anisotropic scattering effects due to magnetic impurities are crucial for understanding surface transport.
- Controlling impurity spin orientation offers a potential mechanism for tuning surface conductivity.
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