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Quantum critical behavior of the hyperkagome magnet Mn$$_3$$CoSi

Yamauchi, Hiroki   ; Sari, D. P.*; Yasui, Yukio*; Sakakura, Terutoshi*; Kimura, Hiroyuki*; Nakao, Akiko*; Ohara, Takashi   ; Honda, Takashi*; Kodama, Katsuaki   ; Igawa, Naoki   ; Ikeda, Kazutaka*; Iida, Kazuki*; Ueta, Daichi*; Yokoo, Tetsuya*; Frontzek, M. D.*; Chi, S.*; Fernandez-Baca, J. A.*; Kojima, Kenji M*; Arseneau, D.*; Morris, G.*; Hitti, B.*; Cai, Y.*; Berlie, A.*; Watanabe, Isao*; Hsu, P.-T.*; Chen, Y.-S.*; Lee, M. K.*; Hall, A. E.*; Balakrishnan, G.*; Chang, L.-J.*; Shamoto, Shinichi  

$$beta$$-Mn-type family alloys Mn$$_3$$$$TX$$ have three-dimensional antiferromagnetic (AFM) corner-shared triangular network. The antiferromagnet Mn$$_3$$RhSi shows magnetic short-range order (SRO) over a wide temperature range of approximately 500 K above the N$'{e}$el temperature $$T_{rm N}$$ = 190 K. Mn$$_3$$CoSi has the smallest lattice parameter and the lowest $$T_{rm N}$$ in the family compounds. The quantum critical point (QCP) from AFM to the quantum paramagnetic state is expected near a cubic lattice parameter of 6.15 $AA. Although $T_N$$ of Mn$$_3$$CoSi is only 140 K, quantum critical behavior is observed in Mn$$_3$$CoSi as the enhancement of the electronic specific heat coefficient $$gamma$$. We study how the magnetic SRO appears in Mn$$_3$$CoSi by using neutron scattering, $$mu$$SR, and physical property measurements. The experimental results show that the neutron scattering intensity of the magnetic SRO does not change much regardless of the suppressed magnetic moment in the long-range magnetic ordered state compared to those of Mn$$_3$$RhSi. The initial asymmetry drop ratio of $$mu$$SR above $$T_{rm N}$$ becomes small, and the magnetic SRO temperature $$T_{SRO}$$ is suppressed to 240 K. The results suggest that the Mn$$_3$$CoSi is close to the QCP in the Mn$$_3$$$$TX$$ system.

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