Asymmetric tunneling of holes through a semiconductor junction in an arbitrary magnetization configuration

Loan T. Nguyen, Haidang Phan, Hoai T. L. Nguyen
Author affiliations

Authors

  • Loan T. Nguyen \(^1\)Hong Duc University, 565 Quang Trung road, Dong Ve, Thanh Hoa, Vietnam
    \(^2\)Graduate University of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
  • Haidang Phan \(^1\)Graduate University of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
    \(^2\) Faculty of Civil Engineering, VNU University of Engineering and Technology, Hanoi, Vietnam
  • Hoai T. L. Nguyen \(^1\)Graduate University of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
    \(^2\)Institute of Physics, Vietnam Academy of Science and Technology,

DOI:

https://doi.org/10.15625/0868-3166/18218

Keywords:

spin-orbit interaction, III-V semiconductor, magnetic tunnel junction, multi-band transport, transfer matrix, k.p method

Abstract

In this paper, we investigate the asymmetry of holes tunneling through GaMnAs/GaAs/GaMnAs heterostructures in the cases general, where the magnetization of the two electrodes are not colinear and their magnitude are not equal. The six-bands $\textbf{k.p}$ Hamiltonian is employed to describe the holes in the GaAs and GaMnAs layers, taking into account both spin-orbit and exchange interactions. The multi-band transfer-matrix formalism is applied for numerically solving the Schrodinger equation to derive the hole wave transmission. We then calculate the transmission asymmetry and discuss its dependence on the right electrode magnetization magnitude, as well as the angles determining relatively the orientation of two magnetization vectors. The study may provide the insights into dynamic of Anomalous Tunneling Hall current during magnetization switching process which are important in spintronics technology for device design and measurement.

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References

B. Engel, J. Akerman, B. Butcher, R. Dave, M. DeHerrera, M. Durlam et al., A 4-mb toggle mram based on a novel bit and switching method, IEEE Trans. Magn. 41 (2005) 132.

Everspin Technologies Inc, “Spin-transfer torque DDR products.” https://www.everspin.com/

spin-transfer-torque-mram-products, 2020.

M. N. Baibich, J. M. Broto, A. Fert, F. N. Van Dau, F. Petroff, P. Etienne et al., Giant magnetoresistance of (001) Fe/(001) Cr magnetic superlattices, Phys. Rev. Lett. 61 (1988) 2472.

G. Binasch, P. Grünberg, F. Saurenbach andW. Zinn, Enhanced magnetoresistance in layered magnetic structures with antiferromagnetic interlayer exchange, Phys. Rev. B 39 (1989) 4828.

M. Julliere, Tunneling between ferromagnetic films, Phys. Lett. A 54 (1975) 225.

J. C. Slonczewski, Current-driven excitation of magnetic multilayers, J. Magn. Magn. Mater. 159 (1996) L1.

J. Hirsch, Spin hall effect, Phys. Rev. Lett. 83 (1999) 1834.

S. D. Ganichev, E. Ivchenko, V. Bel’Kov, S. Tarasenko, M. Sollinger, D. Weiss et al., Spin-galvanic effect, Nature 417 (2002) 153.

E. I. Rashba, Spin currents in thermodynamic equilibrium: The challenge of discerning transport currents, Phys. Rev. B 68 (2003) 241315.

T. H. Nguyen, H.-J. Drouhin and G. Fishman, Spin trajectory along an evanescent loop in zinc-blende semiconductors, Physical Review B 80 (2009) 075207.

A. Matos-Abiague and J. Fabian, Tunneling anomalous and spin hall effects, Phys. Rev. Lett. 115 (2015) 056602.

T. H. Dang, H. Jaffrès, T. H. Nguyen and H.-J. Drouhin, Giant forward-scattering asymmetry and anomalous tunnel hall effect at spin-orbit-split and exchange-split interfaces, Phys. Rev. B 92 (2015) 060403.

T. H. Dang, D. Q. To, E. Erina, T. H. Nguyen, V. Safarov, H. Jaffrès et al., Theory of the anomalous tunnel hall effect at ferromagnet-semiconductor junctions, J. Magn. Magn. Mater. 459 (2018) 37.

D. Q. To, T.-H. Dang, H. Nguyen, V. Safarov, J.-M. George, H.-J. Drouhin et al., Spin-orbit currents, spin-transfer torque and anomalous tunneling in iii–v heterostructures probed by advanced 30-and 40-bands k p tunneling methods, IEEE Trans. Magn. 55 (2019) 1.

I. Rozhansky, D. Q. To, H. Jaffrès and H.-J. Drouhin, Chirality-induced tunneling asymmetry at a semiconductor interface, Phys. Rev. B 102 (2020) 045428.

M. Y. Zhuravlev, A. Alexandrov, L. Tao and E. Y. Tsymbal, Tunneling anomalous hall effect in a ferroelectric tunnel junction, Appl. Phys. Lett. 113 (2018) .

D.-F. Shao, S.-H. Zhang, R.-C. Xiao, Z.-A. Wang, W. J. Lu, Y. P. Sun et al., Spin-neutral tunneling anomalous hall effect, Phys. Rev. B 106 (2022) L180404.

G. Fishman, Semi-conducteurs: les bases de la théorie kp. Editions Ecole Polytechnique, 2010.

T. Dietl, o. H. Ohno and F. Matsukura, Hole-mediated ferromagnetism in tetrahedrally coordinated semiconductors, Phys. Rev. B 63 (2001) 195205.

T. H. Nguyen, H.-J. Drouhin and G. Fishman, Spin trajectory along an evanescent loop in zinc-blende semiconductors, Phys. Rev. B 80 (2009) 075207.

D.-Q. To, Advanced kp multiband methods for semiconductor-based spinorbitronics, Ph.D. thesis, Institut polytechnique de Paris, 2019.

M. Lantz, H. Hug, R. Hoffmann, S. Martin, A. Baratoff and H.-J. Güntherodt, Short-range electrostatic interactions

in atomic-resolution scanning force microscopy on the si (111) 7 7 surface, Phys. Rev. B 68 (2003) 035324.

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Published

10-08-2023

How to Cite

[1]
L. Nguyen, H. Phan and H. T. L. Nguyen, Asymmetric tunneling of holes through a semiconductor junction in an arbitrary magnetization configuration, Comm. Phys. 33 (2023) 263. DOI: https://doi.org/10.15625/0868-3166/18218.

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Funding data

Received 04-04-2023
Accepted 26-05-2023
Published 10-08-2023