Muon-Spin Motion at the Crossover Regime between Gaussian and Lorentzian Distribution of Magnetic Fields

Author:

Umar Muhamad Darwis12,Ishida Katsuhiko1,Murayama Rie1,Sari Dita Puspita13,Widyaiswari Utami14,Fronzi Marco3,Rozak Harion15,Zaharim Wan Nurfadhilah15,Watanabe Isao1245,Iwasaki Masahiko1

Affiliation:

1. RIKEN, Hirosawa 2-1, Wako-shi, Saitama 351-0198, Japan

2. Hokkaido University, Kita 10 Nishi 8, Sapporo, 060-0810, Japan

3. Shibaura Institute of Technology, 307 Fukasaku, Minuma, Saitama 337-8570, Japan

4. Universitus Indonesia, Depok 16424, Indonesia

5. Universiti Sains Malaysia, Pulau Pinang 11800, Malaysia

Abstract

Abstract The muon spin relaxation method (μSR) is a powerful microscopic tool to probe electronic states of materials observing local magnetic field distributions on the muon. It often happens that a distribution of local magnetic fields shows intermediate state between Gaussian and Lorentzian shapes. In order to generally describe intermediate field distributions, we dealt the convolution of two isotropic distributions in the three dimension and derived exact muon-spin relaxation functions which can be applied to all crossover regimes between the Gaussian and Lorentzian.

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

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