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Reply to the comments on “Dependence of the magnetization law on structural disorder in amorphous ferromagnets” by V.A. Ignatchenko and R.S. Iskhakov
Journal of Magnetism and Magnetic Materials 92 (1990) 267 North-Holland
267
Reply to the comments on "Dependence of the magnetization law on structural disorder in amorphous ferromagnets" by V.A. Ignatchenko and R.S. Iskhakov E u g e n e M. C h u d n o v s k y Physics Department, Lehman College, The City University of New York, Bronx, NY 10468-1589, USA Received 31 January 1990; in revised form 3 April 1990
The main result of my paper [1], as is stated in the Introduction, is its formula (3), 8M
Mo
K 2R H foo = ~ I dx e-X/R"x2C(x),
30A 2 "0
(1)
not eq. (23) (eq. (1) of the Comment), as has been erroneously decided by the authors of the Comment. This formula gives an explicit dependence of the magnetization law on the correlation function of a short-range structural order in amorphous solid, C(x); A and K being the exchange and anisotropy constants respectively, Rn = ~ A / M o H . Eqs. (23) and (24) of my paper are particular cases of this formula at C ( x ) = exp(-x/r¢) and C ( x ) = e x p ( - x 2 / 2 r ~ ) correspondingly, listed for the illustration purpose, while the general formula allows one, using the inverse Laplace transformation of the magnetization curve, to obtain an explicit form of C(x), not only a structural correlation radius rc. As far as I know, this formula had never appeared in scientific literature before. Its derivation is based upon the method developed in my earlier work [2] with
Wayne Saslow and Slava Serota. That work, in its turn, was based upon the correlated spin glass (CSG) model of amorphous ferromagnet which Serota and I introduced in refs. [3,4]. In these and our later works [5] magnetic properties of amorphous solids due to structural disorder, including the magnetization law, have been discussed in much detail. Regretfully, Dr. Ignatchenko and Dr. Iskhakov were apparently unaware of our work and of a large piece of experimental activity which was parallel to theirs.
References [1] E.M. Chudnovsky, J. Magn. Magn. Mat. 79 (1989) 127. [2] E.M. Chudnovsky, W.M. Saslow and R.A. Serota, Phys. Rev. B 33 (1986) 251. [3] E.M. Chudnovsky and R.A. Serota, Phys. Rev. B 26 (1982) 2697. [4] E.M. Chudnovsky and R.A. Serota, J. Phys. C 16 (1983) 4181. [5] See, e.g., my review on magnetic properties of amorphous ferromagnets: E.M. Chudnovsky, J. Appl. Phys. 64 (1988) 5770.
0304-8853/90/$03.50 © 1990 - Elsevier Science Publishers B.V. (North-Holland)
267
Reply to the comments on "Dependence of the magnetization law on structural disorder in amorphous ferromagnets" by V.A. Ignatchenko and R.S. Iskhakov E u g e n e M. C h u d n o v s k y Physics Department, Lehman College, The City University of New York, Bronx, NY 10468-1589, USA Received 31 January 1990; in revised form 3 April 1990
The main result of my paper [1], as is stated in the Introduction, is its formula (3), 8M
Mo
K 2R H foo = ~ I dx e-X/R"x2C(x),
30A 2 "0
(1)
not eq. (23) (eq. (1) of the Comment), as has been erroneously decided by the authors of the Comment. This formula gives an explicit dependence of the magnetization law on the correlation function of a short-range structural order in amorphous solid, C(x); A and K being the exchange and anisotropy constants respectively, Rn = ~ A / M o H . Eqs. (23) and (24) of my paper are particular cases of this formula at C ( x ) = exp(-x/r¢) and C ( x ) = e x p ( - x 2 / 2 r ~ ) correspondingly, listed for the illustration purpose, while the general formula allows one, using the inverse Laplace transformation of the magnetization curve, to obtain an explicit form of C(x), not only a structural correlation radius rc. As far as I know, this formula had never appeared in scientific literature before. Its derivation is based upon the method developed in my earlier work [2] with
Wayne Saslow and Slava Serota. That work, in its turn, was based upon the correlated spin glass (CSG) model of amorphous ferromagnet which Serota and I introduced in refs. [3,4]. In these and our later works [5] magnetic properties of amorphous solids due to structural disorder, including the magnetization law, have been discussed in much detail. Regretfully, Dr. Ignatchenko and Dr. Iskhakov were apparently unaware of our work and of a large piece of experimental activity which was parallel to theirs.
References [1] E.M. Chudnovsky, J. Magn. Magn. Mat. 79 (1989) 127. [2] E.M. Chudnovsky, W.M. Saslow and R.A. Serota, Phys. Rev. B 33 (1986) 251. [3] E.M. Chudnovsky and R.A. Serota, Phys. Rev. B 26 (1982) 2697. [4] E.M. Chudnovsky and R.A. Serota, J. Phys. C 16 (1983) 4181. [5] See, e.g., my review on magnetic properties of amorphous ferromagnets: E.M. Chudnovsky, J. Appl. Phys. 64 (1988) 5770.
0304-8853/90/$03.50 © 1990 - Elsevier Science Publishers B.V. (North-Holland)