Berry phase mechanism of the anomalous Hall effect in a disordered two-dimensional magnetic semiconductor structure.

Oveshnikov, L. N.; Kulbachinskii, V. A.; Davydov, A. B.; Aronzon, B. A.; Rozhansky, I. V.; Averkiev, N. S.; Kugel, K. I.; Tripathi, V.

doi:10.1038/srep17158

Title: Berry phase mechanism of the anomalous Hall effect in a disordered two-dimensional magnetic semiconductor structure.

Journal Article · Tue Nov 24 00:00:00 EST 2015 · Scientific Reports

DOI:https://doi.org/10.1038/srep17158· OSTI ID:1251159

Oveshnikov, L. N. ^[1]; Kulbachinskii, V. A. ^[2]; Davydov, A. B. ^[3]; Aronzon, B. A. ^[1]; Rozhansky, I. V. ^[4]; Averkiev, N. S. ^[5]; Kugel, K. I. ^[3]; Tripathi, V. ^[6]

National Research Center Kurchatov Institute, Moscow (Russia); Russian Acad. Sci., Moscow (Russia)
National Research Center Kurchatov Institute, Moscow (Russia); M. V. Lomonosov Moscow State Univ., Moscow (Russia)
Russian Acad. Sci., Moscow (Russia)
Russian Acad. Sci., St. Petersburg (Russia); Peter the Great St. Petersburg Polytechnic Univ., St. Petersburg (Russia)
Russian Acad. Sci., St. Petersburg (Russia)
Argonne National Lab. (ANL), Argonne, IL (United States); Tata Institute of Fundamental Research, Mumbai (India)

In this study, the anomalous Hall effect (AHE) arises from the interplay of spin-orbit interactions and ferromagnetic order and is a potentially useful probe of electron spin polarization, especially in nanoscale systems where direct measurement is not feasible. While AHE is rather well-understood in metallic ferromagnets, much less is known about the relevance of different physical mechanisms governing AHE in insulators. As ferromagnetic insulators, but not metals, lend themselves to gatecontrol of electron spin polarization, understanding AHE in the insulating state is valuable from the point of view of spintronic applications. Among the mechanisms proposed in the literature for AHE in insulators, the one related to a geometric (Berry) phase effect has been elusive in past studies. The recent discovery of quantized AHE in magnetically doped topological insulators - essentially a Berry phase effect - provides strong additional motivation to undertake more careful search for geometric phase effects in AHE in the magnetic semiconductors. Here we report our experiments on the temperature and magnetic field dependences of AHE in insulating, strongly-disordered two-dimensional Mn delta-doped semiconductor heterostructures in the hopping regime. In particular, it is shown that at sufficiently low temperatures, the mechanism of AHE related to the Berry phase is favoured.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1251159

Journal Information:: Scientific Reports, Vol. 5, Issue 16; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 25 works

Citation information provided by
Web of Science

References (26)

Anomalous Hall effect Nagaosa, Naoto; Sinova, Jairo; Onoda, Shigeki Reviews of Modern Physics, Vol. 82, Issue 2 https://doi.org/10.1103/RevModPhys.82.1539	journal	May 2010
The spontaneous hall effect in ferromagnetics I Smit, J. Physica, Vol. 21, Issue 6-10 https://doi.org/10.1016/S0031-8914(55)92596-9	journal	January 1955
Influence of spin-orbit interaction on the transport processes in ferromagnetic nickel alloys, in the presence of a degeneracy of the 3d band Berger, L. Physica, Vol. 30, Issue 6 https://doi.org/10.1016/0031-8914(64)90105-3	journal	June 1964
Side-Jump Mechanism for the Hall Effect of Ferromagnets Berger, L. Physical Review B, Vol. 2, Issue 11 https://doi.org/10.1103/PhysRevB.2.4559	journal	December 1970
Topological Nature of Anomalous Hall Effect in Ferromagnets Onoda, Masaru; Nagaosa, Naoto Journal of the Physical Society of Japan, Vol. 71, Issue 1 https://doi.org/10.1143/JPSJ.71.19	journal	January 2002
Anomalous Hall Effect in Ferromagnetic Semiconductors Jungwirth, T.; Niu, Qian; MacDonald, A. H. Physical Review Letters, Vol. 88, Issue 20 https://doi.org/10.1103/PhysRevLett.88.207208	journal	May 2002
Anomalous Hall Effect in Ferromagnetic Semiconductors in the Hopping Transport Regime Burkov, A. A.; Balents, Leon Physical Review Letters, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevLett.91.057202	journal	July 2003
Charge transport in manganites: Hopping conduction, the anomalous Hall effect, and universal scaling Lyanda-Geller, Y.; Chun, S. H.; Salamon, M. B. Physical Review B, Vol. 63, Issue 18 https://doi.org/10.1103/PhysRevB.63.184426	journal	April 2001
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator Chang, C. -Z.; Zhang, J.; Feng, X. Science, Vol. 340, Issue 6129 https://doi.org/10.1126/science.1234414	journal	March 2013
Quantized Hall Conductance in a Two-Dimensional Periodic Potential Thouless, D. J.; Kohmoto, M.; Nightingale, M. P. Physical Review Letters, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevLett.49.405	journal	August 1982
Large thermal Hall conductivity of neutral spin excitations in a frustrated quantum magnet Hirschberger, Max; Krizan, Jason W.; Cava, R. J. Science, Vol. 348, Issue 6230 https://doi.org/10.1126/science.1257340	journal	April 2015
Anomalous Hall effect in ferromagnetic semiconductors with hopping transport Allen, W.; Gwinn, E. G.; Kreutz, T. C. Physical Review B, Vol. 70, Issue 12 https://doi.org/10.1103/PhysRevB.70.125320	journal	September 2004
Ferromagnetism of low-dimensional Mn-doped III-V semiconductor structures in the vicinity of the insulator-metal transition Aronzon, B. A.; Pankov, M. A.; Rylkov, V. V. Journal of Applied Physics, Vol. 107, Issue 2 https://doi.org/10.1063/1.3267314	journal	January 2010
Charge inhomogeneities and transport in semiconductor heterostructures with a Mn $δ$ -layer Tripathi, Vikram; Dhochak, Kusum; Aronzon, B. A. Physical Review B, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevB.84.075305	journal	August 2011
Noise studies of magnetization dynamics in dilute magnetic semiconductor heterostructures Tripathi, Vikram; Dhochak, Kusum; Aronzon, B. A. Physical Review B, Vol. 85, Issue 21 https://doi.org/10.1103/PhysRevB.85.214401	journal	June 2012
Magnetotransport in disordered delta-doped heterostructures Tripathi, V.; Kennett, M. P. Physical Review B, Vol. 74, Issue 19 https://doi.org/10.1103/PhysRevB.74.195334	journal	November 2006
Ferromagnetism of semiconducting structures with the indirect interaction of magnetic impurities through a quasi-two-dimensional conduction channel Meilikhov, E. Z.; Farzetdinova, R. M. JETP Letters, Vol. 87, Issue 9 https://doi.org/10.1134/S0021364008090075	journal	July 2008
Resonant indirect exchange via spatially separated two-dimensional channel Rozhansky, I. V.; Krainov, I. V.; Averkiev, N. S. Applied Physics Letters, Vol. 106, Issue 25 https://doi.org/10.1063/1.4922806	journal	June 2015
Determining Curie temperatures in dilute ferromagnetic semiconductors: High Curie temperature (Ga,Mn)As Wang, M.; Marshall, R. A.; Edmonds, K. W. Applied Physics Letters, Vol. 104, Issue 13 https://doi.org/10.1063/1.4870521	journal	March 2014
Anomalous Hall Effect in Field-Effect Structures of (Ga,Mn)As Chiba, D.; Werpachowska, A.; Endo, M. Physical Review Letters, Vol. 104, Issue 10 https://doi.org/10.1103/PhysRevLett.104.106601	journal	March 2010
Theory of ferromagnetic (III,Mn)V semiconductors Jungwirth, T.; Sinova, Jairo; Mašek, J. Reviews of Modern Physics, Vol. 78, Issue 3 https://doi.org/10.1103/RevModPhys.78.809	journal	August 2006
Berry Phase Theory of the Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites Ye, Jinwu; Kim, Yong Baek; Millis, A. J. Physical Review Letters, Vol. 83, Issue 18 https://doi.org/10.1103/PhysRevLett.83.3737	journal	November 1999
Quantum, normal and anomalous Hall effect in 2D ferromagnetic structures: GaAs/InGaAs/GaAs quantum well with remote Mn delta-layer Aronzon, B.; Davydov, A.; Goiran, M. Journal of Physics: Conference Series, Vol. 456 https://doi.org/10.1088/1742-6596/456/1/012001	journal	August 2013
Spin ordering in semiconductor heterostructures with ferromagnetic $δ$ layers Men’shov, V. N.; Tugushev, V. V.; Caprara, S. Physical Review B, Vol. 80, Issue 3 https://doi.org/10.1103/physrevb.80.035315	journal	July 2009
Anomalous Hall effect in ferromagnetic semiconductors Jungwirth, T.; Niu, Qian; MacDonald, A. H. arXiv https://doi.org/10.48550/arxiv.cond-mat/0110484	text	January 2001
Anomalous Hall Effect in Ferromagnetic Semiconductors in the Hopping Transport Regime Burkov, A. A.; Balents, Leon arXiv https://doi.org/10.48550/arxiv.cond-mat/0302562	text	January 2003

Cited By (11)

Thermal generation of shift electric current Budkin, G. V.; Tarasenko, S. A. New Journal of Physics, Vol. 22, Issue 1 https://doi.org/10.1088/1367-2630/ab64af	journal	January 2020
Tuning the Skyrmion Hall Effect via Engineering of Spin-Orbit Interaction Akosa, Collins Ashu; Li, Hang; Tatara, Gen Physical Review Applied, Vol. 12, Issue 5 https://doi.org/10.1103/physrevapplied.12.054032	journal	November 2019
General theory of the topological Hall effect in systems with chiral spin textures Denisov, K. S.; Rozhansky, I. V.; Averkiev, N. S. Physical Review B, Vol. 98, Issue 19 https://doi.org/10.1103/physrevb.98.195439	journal	November 2018
Topological Hall effect for electron scattering on nanoscale skyrmions in external magnetic field Denisov, K. S.; Rozhansky, I. V.; Potkina, M. N. Physical Review B, Vol. 98, Issue 21 https://doi.org/10.1103/physrevb.98.214407	journal	December 2018
Electron Scattering on a Magnetic Skyrmion in the Nonadiabatic Approximation Denisov, K. S.; Rozhansky, I. V.; Averkiev, N. S. Physical Review Letters, Vol. 117, Issue 2 https://doi.org/10.1103/physrevlett.117.027202	journal	July 2016
High-temperature magnetism and microstructure of a semiconducting ferromagnetic (GaSb) ₁₋ _x (MnSb) _x alloy Oveshnikov, Leonid N.; Nekhaeva, Elena I.; Kochura, Alexey V. Beilstein Journal of Nanotechnology, Vol. 9 https://doi.org/10.3762/bjnano.9.230	journal	January 2018
Tuning skyrmion Hall effect via engineering of spin-orbit interaction Akosa, Collins Ashu; Li, Hang; Tretiakov, Oleg A. Unpublished https://doi.org/10.13140/rg.2.2.24149.37600	text	January 2019
General theory of topological Hall effect in systems with chiral spin textures Denisov, K. S.; Rozhansky, I. V.; Averkiev, N. S. arXiv https://doi.org/10.48550/arxiv.1807.07396	text	January 2018
High-performance nanoscale topological energy transduction Philip, Timothy M.; Gilbert, Matthew J. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-06965-8	journal	July 2017
Chiral spin ordering of electron gas in solids with broken time reversal symmetry Denisov, K. S.; Rozhansky, I. V.; Averkiev, N. S. Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-47274-6	journal	July 2019
A nontrivial crossover in topological Hall effect regimes Denisov, K. S.; Rozhansky, I. V.; Averkiev, N. S. arXiv https://doi.org/10.48550/arxiv.1702.04985	text	January 2017

Similar Records

Layer Hall effect in a 2D topological axion antiferromagnet

Journal Article · Wed Jul 21 00:00:00 EDT 2021 · Nature (London) · OSTI ID:1251159

Gao, Anyuan; Liu, Yu-Fei; Hu, Chaowei; +33 more

Anomalous Hall effect and perpendicular magnetic anisotropy in ultrathin ferrimagnetic NiCo2O4 films

Journal Article · Mon Jun 13 00:00:00 EDT 2022 · Applied Physics Letters · OSTI ID:1251159

Chen, Xuegang; Wu, Qiuchen; Zhang, Le; +4 more

Large intrinsic anomalous Hall effect in SrIrO₃ induced by magnetic proximity effect

Journal Article · Wed Jun 02 00:00:00 EDT 2021 · Nature Communications · OSTI ID:1251159

Yoo, Myoung-Woo; Tornos, J.; Sander, A.; +27 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
magnetic properties and materials
spintronics
two-dimensional materials

Title: Berry phase mechanism of the anomalous Hall effect in a disordered two-dimensional magnetic semiconductor structure.

Citation Formats

References (26)

Cited By (11)

Similar Records

Related Subjects