Field-Induced Spin-Flop in Antiferromagnetic Semiconductors with Commensurate and Incommensurate Magnetic Structures: Li<sub>2</sub>FeGeS<sub>4</sub> (LIGS) and Li<sub>2</sub>FeSnS<sub>4</sub> (LITS)

Abstract

Li<sub>2</sub>FeGeS<sub>4</sub> (LIGS) and Li<sub>2</sub>FeSnS<sub>4</sub> (LITS), which are among the first magnetic semiconductors with the wurtz-kesterite structure, exhibit antiferromagnetism with <i>T</i><sub>N</sub> ≈ 6 and 4 K, respectively. Both compounds undergo a conventional metamagnetic transition that is accompanied by a hysteresis; a reversible spin-flop transition is dominant. On the basis of constant-wavelength neutron powder diffraction data, we propose that LIGS and LITS exhibit collinear magnetic structures that are commensurate and incommensurate with propagation vectors <b>k</b><sub>m</sub> = [<sup>1</sup>/<sub>2</sub>, <sup>1</sup>/<sub>2</sub>, <sup>1</sup>/<sub>2</sub>] and [0, 0, 0.546(1)], respectively. The two compounds exhibit similar magnetic phase diagrams, as the critical fields are temperature-dependent. The nuclear structures of the bulk powder samples were verified using time-of-flight neutron powder diffraction along with synchrotron X-ray powder diffraction. <sup>57</sup>Fe and <sup>119</sup>Sn Mössbauer spectroscopy confirmed the presence of Fe<sup>2+</sup> and Sn<sup>4+</sup> as well as the number of crystallographically unique positions. LIGS and LITS are semiconductors with indirect and direct bandgaps of 1.42 and 1.86 eV, respectively, according to optical diffuse-reflectance UV–vis–NIR spectroscopy

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