Abstract
In this study, we analyzed the composition-dependent phenomena in (Cd\(_{1-x}\)Mn\(_x\))\(_3\)As\(_2\) polycrystals with x = 0 – 0.08. We showed that the Mn-induced stabilization of minor \(\alpha \mathrm {''}\)-phase in these systems occurs without substantial decrease in the characteristic crystallite sizes. The comparison of the estimated relevant length scales suggests that polycrystalline character of the studied samples plays only a minor role in electron transport, while the increase in defect density along with Mn content has more profound effect. We observed low-temperature linear magnetoresistance even for the samples with high Mn content. The decrease in the corresponding effect amplitude can be explained in terms of basic properties of the parent Cd\(_3\)As\(_2\) compound. Therefore, we argue that Mn-doping qualitatively conserves characteristic features of the Dirac semimetal phase in the system with relatively high Fermi energies, in accordance with previous band calculations of the (Cd\(_{1-x}\)Mn\(_x\))\(_3\)As\(_2\) compound.
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Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment: All data presented in the current study are available from the corresponding author on reasonable request.]
References
T. Zhang, Y. Jiang, Z. Song, H. Huang, Y. He, Z. Fang, H. Weng, C. Fang, Catalogue of topological electronic materials. Nature 566, 475–479 (2019). https://doi.org/10.1038/s41586-019-0944-6
M.G. Vergniory, L. Elcoro, C. Felser, N. Regnault, B.A. Bernevig, Z. Wang, A complete catalogue of high-quality topological materials. Nature 566, 480–485 (2019). https://doi.org/10.1038/s41586-019-0954-4
N.P. Armitage, E.J. Mele, A. Vishvanath, Weyl and Dirac semimetals in three-dimensional solids. Rev. Mod. Phys. 90, 015001 (2018). https://doi.org/10.1103/RevModPhys.90.015001
H.-Z. Lu, S.-Q. Shen, Quantum transport in topological semimetals under magnetic fields. Front. Phys. 12, 127201 (2017). https://doi.org/10.1007/s11467-016-0609-y
L.P. He, X.C. Hong, J.K. Dong, J. Pan, Z. Zhang, J. Zhang, S.Y. Li, Quantum transport evidence for the three-dimensional Dirac semimetal phase in Cd\(_3\)As\(_2\). Phys. Rev. Lett. 113, 246402 (2014). https://doi.org/10.1103/PhysRevLett.113.246402
Y. Zhao, H. Liu, C. Zhang, H. Wang, J. Wang, Z. Lin, Y. Xing, H. Lu, J. Liu, Y. Wang, S.M. Brombosz, Z. Xiao, S. Jia, X.C. Xie, J. Wang, Anisotropic Fermi surface and quantum limit transport in high mobility three-dimensional Dirac semimetal Cd\(_3\)As\(_2\). Phys. Rev. 5, 031037 (2015). https://doi.org/10.1103/PhysRevX.5.031037
M. Neupane, S.-Y. Xu, R. Sankar, N. Alidoust, G. Bian, C. Liu, I. Belopolski, T.-R. Chang, H.-T. Jeng, H. Lin, A. Bansil, F. Chou, M.Z. Hasan, Observation of a three dimensional topological Dirac semimetal phase in high-mobility Cd\(_3\)As\(_2\). Nat. Commun. 5, 3786 (2014). https://doi.org/10.1038/ncomms4786
Z.K. Liu, J. Jiang, B. Zhou, Z.J. Wang, Y. Zhang, H.M. Weng, D. Prabhakaran, S.-K. Mo, H. Peng, P. Dudin, T. Kim, M. Hoesch, Z. Fang, X. Dai, Z.X. Shen, D.L. Feng, Z. Hussain, Y.L. Chen, A stable three-dimensional topological Dirac semimetal Cd\(_3\)As\(_2\). Nat. Mater. 13, 677–681 (2014). https://doi.org/10.1038/nmat3990
S. Jeon, B.B. Zhou, A. Gyenis, B.E. Feldman, I. Kimchi, A.C. Potter, Q.D. Gibson, R.J. Cava, A. Vishwanath, A. Yazdani, Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd\(_3\)As\(_2\). Nat. Mater. 13, 851–856 (2014). https://doi.org/10.1038/nmat4023
M. Uchida, Y. Nakazawa, S. Nishihaya, K. Akiba, M. Kriener, Y. Kozuka, A. Miyake, Y. Taguchi, M. Tokunaga, N. Nagaosa, Y. Tokura, M. Kawasaki, Quantum Hall states observed in thin films of Dirac semimetal Cd\(_3\)As\(_2\). Nat. Commun. 8, 2274 (2017). https://doi.org/10.1038/s41467-017-02423-1
T. Schumann, L. Galletti, D.A. Kealhofer, H. Kim, M. Goyal, S. Stemmer, Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd\(_3\)As\(_2\). Phys. Rev. Lett. 120, 016801 (2018). https://doi.org/10.1103/PhysRevLett.120.016801
A.V. Suslov, A.B. Davydov, L.N. Oveshnikov, L.A. Morgun, K.I. Kugel, V.S. Zakhvalinskii, E.A. Pilyuk, A.V. Kochura, A.P. Kuzmenko, V.M. Pudalov, B.A. Aronzon, Observation of subkelvin superconductivity in Cd\(_3\)As\(_2\) thin films. Phys. Rev. B 99, 094512 (2019). https://doi.org/10.1103/PhysRevB.99.094512
L.N. Oveshnikov, A.B. Davydov, A.V. Suslov, A.I. Ril’, S.F. Marenkin, A.L. Vasiliev, B.A. Aronzon, Superconductivity and Shubnikov—de Haas effect in polycrystalline Cd\(_3\)As\(_2\) thin films. Sci. Rep. 10, 4601 (2020). https://doi.org/10.1038/s41598-020-61376-6
A. Narayanan, M.D. Watson, S.F. Blake, N. Bruyant, L. Drigo, Y.L. Chen, D. Prabhakaran, B. Yan, C. Felser, T. Kong, P.C. Canfield, A.I. Coldea, Linear magnetoresistance caused by mobility fluctuations in \(n\)-doped Cd\(_3\)As\(_2\). Phys. Rev. Lett. 114, 117201 (2015). https://doi.org/10.1103/PhysRevLett.114.117201
T. Liang, Q. Gibson, M.N. Ali, M. Liu, R.J. Cava, N.P. Ong, Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd\(_3\)As\(_2\). Nat. Mater. 14, 280–284 (2015). https://doi.org/10.1038/nmat4143
J. Feng, Y. Pang, D. Wu, Z. Wang, H. Weng, J. Li, X. Dai, Z. Fang, Y. Shi, L. Lu, Large linear magnetoresistance in Dirac semimetal Cd\(_3\)As\(_2\) with Fermi surfaces close to the Dirac points. Phys. Rev. B 92, 081306 (2015). https://doi.org/10.1103/PhysRevB.92.081306
Z.J. Xiang, D. Zhao, Z. Jin, C. Shang, L.K. Ma, G.J. Ye, B. Lei, T. Wu, Z.C. Xia, X.H. Chen, Angular-dependent phase factor of Shubnikov—de Haas oscillations in the Dirac semimetal Cd\(_3\)As\(_2\). Phys. Rev. Lett. 115, 226401 (2015). https://doi.org/10.1103/PhysRevLett.115.226401
H. Li, H. He, H.-Z. Lu, H. Zhang, H. Liu, R. Ma, Z. Fan, S.-Q. Shen, J. Wang, Negative magnetoresistance in Dirac semimetal Cd\(_3\)As\(_2\). Nat. Commun. 7, 10301 (2016). https://doi.org/10.1038/ncomms10301
E.K. Arushanov, Crystal growth and characterization of II\(_3\)V\(_2\) compounds. Prog. Cryst. Growth Charact. 3, 211–255 (1980). https://doi.org/10.1016/0146-3535(80)90020-9
Z. Wang, H. Weng, Q. Wu, X. Dai, Z. Fang, Three-dimensional Dirac semimetal and quantum transport in Cd\(_3\)As\(_2\). Phys. Rev. B 88, 125427 (2013). https://doi.org/10.1103/PhysRevB.88.125427
M.N. Ali, Q. Gibson, S. Jeon, B.B. Zhou, A. Yazdani, R.J. Cava, The crystal and electronic structures of Cd\(_3\)As\(_2\), the three-dimensional electronic analogue of graphene. Inorg. Chem. 53, 4062–4067 (2014). https://doi.org/10.1021/ic403163d
R. Sankar, M. Neupane, S.-Y. Xu, C.J. Butler, I. Zeljkovic, I.P. Muthuselvam, F.-T. Huang, S.-T. Guo, S.K. Karna, M.-W. Chu, W.L. Lee, M.-T. Lin, R. Jayavel, V. Madhavan, M.Z. Hasa, F.C. Chou, Large single crystal growth, transport property, and spectroscopic characterizations of three-dimensional Dirac semimetal Cd\(_3\)As\(_2\). Sci. Rep. 5, 12966 (2015). https://doi.org/10.1038/srep12966
W.J.M. De Jonge, M. Otto, C.J.M. Denissen, F.A.P. Blom, C. Van Der Steen, K. Kopinga, Spin-glass behavior of (Cd\(_{1-x}\)Mn\(_x\))\(_3\)As\(_2\). J. Magn. Magn. Mater. 31–34, 1373–1374 (1983). https://doi.org/10.1016/0304-8853(83)90932-0
Z. Celinski, A. Burian, B. Rzepa, W. Zdanowicz, Preparation, structure and magnetic properties of (Cd\(_{1-x}\)Mn\(_x\))\(_3\)As\(_2\) crystals. Mater. Res. Bull. 22, 419–426 (1987). https://doi.org/10.1016/0025-5408(87)90061-4
J.J. Neve, C. Bouwens, F. Blom, Shubnikov—de Haas effect in (Cd\(_{1-x}\)Mn\(_x\))\(_3\)As\(_2\). Solid State Commun. 38, 27–30 (1981). https://doi.org/10.1016/0038-1098(81)91156-X
H. Wang, J. Ma, Q. Wei, J. Zhao, Mn doping effects on the gate-tunable transport properties of Cd\(_3\)As\(_2\) films epitaxied on GaAs. J. Semicond. 41, 072903 (2020). https://doi.org/10.1088/1674-4926/41/7/072903
A. Rancati, N. Pournaghavi, M.F. Islam, A. Debernardi, C.M. Canali, Impurity-induced topological phase transitions in Cd\(_3\)As\(_2\) and Na\(_3\)Bi. Phys. Rev. B 102, 195110 (2020). https://doi.org/10.1103/PhysRevB.102.195110
N.M. Shchelkachev, V.G. Yarzhemsky, Influence of crystal structure and 3\(d\) impurities on the electronic structure of the topological material Cd\(_3\)As\(_2\). Inorg. Mater. 54, 1093–1098 (2018). https://doi.org/10.1134/S0020168518110110
H. Jin, Y. Dai, Y.-D. Ma, X.-R. Li, W. Wei, L. Yu, B.-B. Huang, The electronic and magnetic properties of transition-metal element doped three-dimensional Dirac semimetal in Cd\(_3\)As\(_2\). J. Mater. Chem. C 3, 3547–3551 (2015). https://doi.org/10.1039/c4tc02609h
E.T. Kulatov, Yu.A. Uspenskii, L.N. Oveshnikov, A.B. Mekhiya, A.B. Davydov, A.I. Ril’, S.F. Marenkin, B.A. Aronzon, Electronic, magnetic and magnetotransport properties of Mn-doped Dirac semimetal Cd\(_3\)As\(_2\). Acta Mater. 219, 117249 (2021). https://doi.org/10.1016/j.actamat.2021.117249
A.I. Ril’, S.F. Marenkin, V.V. Volkov, L.N. Oveshnikov, V.V. Kozlov, Formation of the \(\alpha ^{\prime \prime }\)-phase and study of the solubility of Mn in Cd\(_3\)As\(_2\). J. Alloys J. Alloys Compd. 892, 162082 (2021). https://doi.org/10.1016/j.jallcom.2021.162082
N.N. Kovaleva, F.V. Kusmartsev, A.B. Mekhiya, I.N. Trunkin, D. Chvostova, A.B. Davydov, L.N. Oveshnikov, O. Pacherova, I.A. Sherstnev, A. Kusmartseva, K.I. Kugel, A. Dejneka, F.A. Pudonin, Y. Luo, B.A. Aronzon, Control of Mooij correlations at the nanoscale in the disordered metallic Ta-nanoisland FeNi multilayers. Sci. Rep. 10, 21172 (2020). https://doi.org/10.1038/s41598-020-78185-6
E.I. Yakovleva, L.N. Oveshnikov, A.V. Kochura, K.G. Lisunov, E. Lahderanta, B.A. Aronzon, Anomalous Hall effect in the In\(_{1-x}\)Mn\(_x\)Sb dilute magnetic semiconductor with MnSb inclusions. JETP Lett. 101, 130–135 (2015). https://doi.org/10.1134/S0021364015020149
L.N. Oveshnikov, E.I. Nekhaeva, A.V. Kochura, A.B. Davydov, M.A. Shakhov, S.F. Marenkin, O.A. Novodvorskii, A.P. Kuzmenko, A.L. Vasiliev, B.A. Aronzon, E. Lahderanta, High-temperature magnetism and microstructure of a semiconducting ferromagnetic (GaSb)\(_{1-x}\)(MnSb)\(_x\) alloy. Beilstein J. Nanotechnol. 9, 2457–2465 (2018). https://doi.org/10.3762/bjnano.9.230
A.B. Mekhiya, A.A. Kazakov, L.N. Oveshnikov, A.B. Davydov, A.I. Ril, S.F. Marenkin, B.A. Aronzon, Quantum corrections and magnetotransport in 3D Dirac semimetal Cd\(_{3-x}\)Mn\(_x\)As\(_2\) films. Semiconductors 53, 1439–1444 (2019). https://doi.org/10.1134/S1063782619110137
I. Rosenman, Effet Shubnikov de Haas dans Cd\(_3\)As\(_2\): forme de la surface de Fermi et modele non parabolique de la bande de conduction. J. Phys. Chem. Solids 30, 1385–1402 (1969). https://doi.org/10.1016/0022-3697(69)90200-5
X. Yuan, P. Cheng, L. Zhang, C. Zhang, J. Wang, Y. Liu, Q. Sun, P. Zhou, D.W. Zhang, Z. Hu, X. Wan, H. Yan, Z. Li, F. Xiu, Direct observation of Landau level resonance and mass generation in Dirac semimetal Cd\(_3\)As\(_2\). Nano Lett. 17, 2211–2219 (2017). https://doi.org/10.1021/acs.nanolett.6b04778
A.V. Kochura, L.N. Oveshnikov, A.P. Kuzmenko, A.B. Davydov, S.Y. Gavrilkin, V.S. Zakhvalinskii, V.A. Kulbachinskii, N.A. Khokhlov, B.A. Aronzon, Vapor-phase synthesis and magnetoresistance of (Cd\(_{0.093}\)Zn\(_{0.007}\))\(_3\)As\(_2\) single crystals. JETP Lett. 109, 175–179 (2019). https://doi.org/10.1134/S0021364019030019
H. Lu, X. Zhang, Y. Bian, S. Jia, Topological phase transition in single crystals of (Cd\(_{1-x}\)Zn\(_{x}\))\(_3\)As\(_2\). Sci. Rep. 7, 3148 (2017). https://doi.org/10.1038/s41598-017-03559-2
B. Skinner, Coulomb disorder in three-dimensional Dirac systems. Phys. Rev. B 90, 060202 (2014). https://doi.org/10.1103/PhysRevB.90.060202
S. Borisenko, Q. Gibson, D. Evtushinsky, V. Zabolotnyy, B. Buchner, R.J. Cava, Experimental realization of a three-dimensional Dirac semimetal. Phys. Rev. Lett. 113, 027603 (2014). https://doi.org/10.1103/PhysRevLett.113.027603
J. Cao, S. Liang, C. Zhang, Y. Liu, J. Huang, Z. Jin, Z.-G. Chen, Z. Wang, Q. Wang, J. Zhao, S. Li, X. Dai, J. Zou, Z. Xia, L. Li, F. Xiu, Landau level splitting in Cd\(_3\)As\(_2\) under high magnetic fields. Nat. Commun. 6, 7779 (2015). https://doi.org/10.1038/ncomms8779
M.M. Parish, P.B. Littlewood, Non-saturating magnetoresistance in heavily disordered semiconductors. Nature 426, 162–165 (2003). https://doi.org/10.1038/nature02073
M.M. Parish, P.B. Littlewood, Classical magnetotransport of inhomogeneous conductors. Phys. Rev. B 72, 094417 (2005). https://doi.org/10.1103/PhysRevB.72.094417
D. Stroud, F.P. Pan, Effect of isolated inhomogeneities on the galvanomagnetic properties of solids. Phys. Rev. B 13, 1434–1438 (1976). https://doi.org/10.1103/PhysRevB.13.1434
P. Kapitza, The change of electrical conductivity in strong magnetic fields. Part I.—experimental results. Proc. R. Soc. A Math. Phys. Eng. Sci. 123, 292–341 (1929). https://doi.org/10.1098/rspa.1929.0072
P. Kapitza, The change of electrical conductivity in strong magnetic fields. Part II.—the analysis and the interpretation of the experimental results. Proc. R. Soc. A Math. Phys. Eng. Sci. 123, 342–372 (1929). https://doi.org/10.1098/rspa.1929.0073
A.A. Abrikosov, Quantum magnetoresistance. Phys. Rev. B 58, 2788–2794 (1998). https://doi.org/10.1103/physrevb.58.2788
A.A. Abrikosov, Quantum linear magnetoresistance. Europhys. Lett. 49, 789–793 (2000). https://doi.org/10.1209/epl/i2000-00220-2
D. Nandi, B. Skinner, G.H. Lee, K.-F. Huang, K. Shain, C.-Z. Chang, Y. Ou, S.-P. Lee, J. Ward, J.S. Moodera, P. Kim, B.I. Halperin, A. Yacoby, Signatures of long-range-correlated disorder in the magnetotransport of ultrathin topological insulators. Phys. Rev. B 98, 214203 (2018). https://doi.org/10.1103/PhysRevB.98.214203
C.M. Wang, X.L. Lei, Linear magnetoresistance on the topological surface. Phys. Rev. B 86, 035442 (2012). https://doi.org/10.1103/PhysRevB.86.035442
D. Xiao, M.-C. Chang, Q. Niu, Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010). https://doi.org/10.1103/RevModPhys.82.1959
J. Guo, X. Zhao, N. Sun, X. Xiao, W. Liu, Z. Zhang, Tunable quantum Shubnikov-de Hass oscillations in antiferromagnetic topological semimetal Mn-doped Cd\(_3\)As\(_2\). J. Mater. Sci. Technol. 76, 247–253 (2021). https://doi.org/10.1016/j.jmst.2020.11.023
Acknowledgements
The work was supported by the Russian Science Foundation, Grant No. 21-12-00254 (https://rscf.ru/en/project/21-12-00254/). X-ray diffraction studies were performed at the Center of Shared Equipment of IGIC RAS. Authors are grateful to D.R. Streltsov for the help in manuscript preparation.
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Oveshnikov, L.N., Ril’, A.I., Mekhiya, A.B. et al. Low-field linear magnetoresistance and transport parameters of (Cd\(_{1-x}\)Mn\(_x\))\(_3\)As\(_2\) polycrystals. Eur. Phys. J. Plus 137, 374 (2022). https://doi.org/10.1140/epjp/s13360-022-02560-7
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DOI: https://doi.org/10.1140/epjp/s13360-022-02560-7