Abstract
We develop a model Hamiltonian to treat intrinsic anomalous Hall conductivity in dilute magnetic semiconductor (DMS) of type (III, Mn, V) and obtain the Berry potential and Berry curvature which are responsible for intrinsic anomalous Hall conductivity in Ga1-x MnxAs DMS. Based on Kubo formalism, we establish the relation between Berry curvature and intrinsic anomalous Hall conductivity. We find that for strong spin-orbit interaction intrinsic anomalous Hall conductivity is quantized which is in agreement with recent experimental observation. In addition, we show that the intrinsic anomalous Hall conductivity (AHC) can be controlled by changing concentration of magnetic impurities as well as exchange field. Since Berry curvature related contribution of anomalous Hall conductivity is believed to be dissipationless, our result is a significant step toward achieving dissipationless electron transport in technologically relevant conditions in emerging of spintronics.
Highlights
Hall discovered that when a conductor carrying longitudinal current was placed in a vertical magnetic field, the carrier would be pressed against the transverse side of the conductor, which led to an observed transverse voltage
The quantum Hall effect was discovered by K. von Klitzing in 1982 in a two-dimensional electron gas (2DEG) at low temperature and strong magnetic field [2]
dilute magnetic semiconductor (DMS) like Ga1−xMnxAs the Hall effect is anomalous and controlled more by magnetization than by Lorentz forces [3] [4], called the anomalous Hall resistivity and the phenomenon is known as anomalous Hall effect (AHE)
Summary
DMSs like Ga1−xMnxAs the Hall effect is anomalous and controlled more by magnetization than by Lorentz forces [3] [4], called the anomalous Hall resistivity and the phenomenon is known as anomalous Hall effect (AHE) This phenomenon attracted both experimental and theoretical interest due to its potential application in emerging science of spintronics [5]. Intrinsic AHE results from curvature of electrons below the Fermi surface, as a consequence of the spin-orbit coupling induced topological properties in Bloch bands [13] This anomalous Hall effect (AHE) has become a standard tool to determine the magnetization of ferromagnet and has been known for more than a century, its mechanism is still under debate. We develop model Hamiltonian on basis of above discussion, which obtains analytical expression for Berry potential and Berry curvature; secondly after applying Quantum Kubo formulism the connection between Berry curvature and intrinsic Anomalous Hall conductivity is established
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