The chiral anomalous Hall effect at high magnetic fields in Au-Fe alloys

References

• E.H. Hall, On the ‘Rotational coefficient’ in nickel and cobalt, Philos. Mag. 12 (1881), pp. 157–172.
   Google Scholar
• A.W. Smith, The variation of the Hall effect in metals with change of temperature, Phys. Rev. 30 (1910), pp. 1–35.
   Google Scholar
• R. Karplus and J.M. Luttinger, Hall effect in ferromagnetics, Phys. Rev. 95 (1954), pp. 1154–1160.
   Web of Science ®Google Scholar
• T. Jungwirth, Q. Niu, and A.H. MacDonald, Anomalous Hall effect in ferromagnetic semiconductors, Phys. Rev. Lett. 88 (2002), pp. 1–4.
   Web of Science ®Google Scholar
• J. Ye, Y.B. Kim, A.J. Millis, B.I. Schraiman, P. Majumdar, and Z. Tesanovic, Berry phase theory of the anomalous Hall effect: application to colossal magnetoresistance manganites, Phys. Rev. Lett. 83 (1999), pp. 3737–3740.
   Web of Science ®Google Scholar
• N. Nagaosa, J. Sinova, S. Onoda, A.H. MacDonald, and N.P. Ong, Anomalous Hall effect, Rev. Mod. Phys. 82 (2010), pp. 1539–1592.
   Web of Science ®Google Scholar
• A. Neubauer, C. Pfleiderer, B. Binz, A. Rosh, R. Ritz, P.G. Niklowitz, and P. Boni, Topological Hall effect in the a phase of MnSi, Phys. Rev. Lett. 102 (2009), pp. 1–4.
   Web of Science ®Google Scholar
• S.D. Yi, S. Onoda, N. Nagaosa, and J.H. Han, Skyrmions and anomalous Hall effect in a Dzyaloshinskii-Moriya spiral magnet, Phys. Rev. B 80 (2009), pp. 1–6.
   Web of Science ®Google Scholar
• Z.H. Liu, Y.J. Zhang, G.D. Liu, B. Ding, E.K. Liu, H.M. Jafri, Z.P. Hou, W.H. Wang, X.Q. Ma, and G.H. Wu, Transition from anomalous Hall effect to topological Hall effect in hexagonal non-collinear magnet Mn3Ga, Sci. Rep. 7 (2017), pp. 1–7.
   PubMedGoogle Scholar
• V.V. Glushkov, M.A. Anisimov, A.V. Bogach, A.D. Bozhko, S.V. Demishev, V.N. Krasnorussky, A.N. Samarin, V.B. Filipov, and N.Yu. Shitsevalova, Anomalous Hall effect in frustrated magnets, Phys. Sol. State 61 (2019), pp. 1622–1626.
   Web of Science ®Google Scholar
• G. Tatara and H. Kawamura, Chirality-driven anomalous Hall effect in weak coupling regime, J. Phys. Soc. Jpn. 71 (2002), pp. 2613–2616.
   Google Scholar
• H. Kawamura, Anomalous Hall effect as a probe of the chiral order in spin glasses, Phys. Rev. Lett.90 (2003), pp. 1–4.
   Web of Science ®Google Scholar
• P. Pureur, F. Wolff Fabris, J. Schaf, and I.A. Campbell, Chiral susceptibility in canonical spin glass and reentrant alloys from Hall effect measurements, Europhys. Lett. 67 (2004), pp. 123–129.
   Google Scholar
• T. Taniguchi, K. Yamanaka, H. Sumioka, T. Yamazaki, Y. Tabata, and S. Kawarazaki, Direct observation of chiral susceptibility in the canonical spin glass AuFe, Phys. Rev. Lett. 93 (2004), pp. 1–4.
   Web of Science ®Google Scholar
• F. Wolff Fabris, P. Pureur, J. Schaf, V.N. Vieira, and I.A. Campbell, Chiral anomalous Hall effect in reentrant AuFe alloys, Phys. Rev. B 74 (2006), pp. 1–7.
   Web of Science ®Google Scholar
• G. Tatara and H. Kohno, Permanent current from noncommutative spin algebra, Phys. Rev. B 67 (2003), pp. 1–3.
   Web of Science ®Google Scholar
• Y. Taguchi, Y. Oohara, H. Yoshizawa, N. Nagaosa, and Y. Takura, Spin chirality, Berry phase and anomalous Hall effect in a frustrated ferromagnet, Science 291 (2001), pp. 2573–2576.
   PubMed Web of Science ®Google Scholar
• B.R. Coles, B.V.B. Sarkissian, and R.H. Taylor, The role of finite magnetic clusters in Au-Fe alloys near the percolation concentration, Philos. Mag. 37 (1978), pp. 489–498.
   Web of Science ®Google Scholar
• I.A. Campbell and S. Senoussi, Re-entrant systems: a compromise between spin glass and ferromagnetic order, Phil. Mag. B 65 (1992), pp. 1267–1274.
   Web of Science ®Google Scholar
• H. Dartige, H. Bouchiat, and P. Monod, X-ray determination of atomic short-range order in the spin-glass system AuFe, Phys. Rev. B 25 (1982), pp. 6995–7002.
   Web of Science ®Google Scholar
• R.D. Barnard and I. Ul-Haq, The low-field Hall effect and susceptibility of archetypal spin glasses – evidence for a second magnetic transition, J. Phys. F: Metal Phys. 18 (1988), pp. 1253–1270.
   Google Scholar
• J.A. Mydosh, P.J. Ford, M.P. Kawatra, and T.E. Whall, Electrical resistivity of Au Fe alloys in the spin-glass, mictomagnetic, and ferromagnetic regimes, Phys. Rev. B 10 (1974), pp. 2845–2856.
   Web of Science ®Google Scholar
• J.J. Smit, G.J. Nieuwenhuys, and L.J. de Jongh, Magnetization measurements for AuFe spin-glass alloys in fields up to 40 T, Solid State Commun. 32 (1979), pp. 233–238.
   Web of Science ®Google Scholar
• H. Rakoto, J.C. Ousset, S. Senoussi, and I.A. Campbell, High magnetic field studies of AuFe alloys from spin glass to randomly canted ferromagnetism, J. Magn. Magn. Mat. 46 (1984), pp. 212–218.
   Web of Science ®Google Scholar
• J. Xu, B.J. Hickey, M.A. Howson, D. Greig, R. Cochrane, S. Mahon, C. Achilleos, and N. Wiser, Giant magnetoresistance in AuFe alloys: evidence for the progressive unblocking of superparamagnetic particles, Phys. Rev. B 56 (1997), pp. 14602–14606.
   Web of Science ®Google Scholar
• H. Taniguchi, M. Watanabe, T. Ibe, M. Tokuda, T. Arakawa, T. Taniguchi, B. Gu, T. Ziman, S. Maekawa, K. Kobayashi, and Y. Niimi, Spin treacle in a frustrated magnet observed with spin current, Phys. Rev. B 102 (2020), pp. 1–7.
   Web of Science ®Google Scholar