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Theoretical Study on Various Contributions to the Magnetization of Pb1-xMnxS and Pb1-xMnxSe

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Abstract

Three different contributing mechanisms have been considered to calculate the magnetization (M) of p-type Pb1-xMnxSe for a hole density of p = 5 × 1018 cm−3and n-type Pb1-xMnxS for an electron density of n = 6 × 1018 cm−3.The first mechanism comes from the valence band diamagnetism which is calculated in a frame of the two-band model. The second mechanism which we consider arises from the spin densities of holes and electrons and we use a six-level \(\vec{k}.\vec{\pi }\) theory in second-order perturbation theory in the effective mass representation. The third mechanism is the impurity Mn+2 ions contribution, and we consider small clusters consisting of one, two and three spins to evaluate it. The three spin clusters include both open and closed types. It has been observed that the former two mechanisms contribute very little to the magnetization compared to the latter one. However, their importance cannot be ignored because they provide a deeper understanding of the underlying physical mechanisms involved with carrier spin polarization and orbital diamagnetism of the host matrix, in which the Mn+2 spins are embedded. Good agreement of our theory with experiment is the other interesting and distinct feature of this work.

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  1. Department of Physics, Abhayapuri College, Abhayapuri, Assam, 783381, India

    H. Roy

  2. Department of Physics, Central Institute of Technology, Kokrajhar, Assam, 783370, India

    R. L. Hota

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Roy, H., Hota, R.L. Theoretical Study on Various Contributions to the Magnetization of Pb1-xMnxS and Pb1-xMnxSe. J Low Temp Phys 205, 82–98 (2021). https://doi.org/10.1007/s10909-021-02611-w

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  • DOI: https://doi.org/10.1007/s10909-021-02611-w

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