Abstract

The phase transitions of the geometrically frustrated antiferromagnet $\mathrm{TbNiAl}$ in a magnetic field are studied by means of neutron powder diffraction, ac susceptibility, and muon spin relaxation $(\ensuremath{\mu}\mathrm{SR})$ measurements. Neutron powder diffraction reveals that, in addition to antiferromagnetic order, ferromagnetic order is induced in a field as low as $B\ensuremath{\sim}0.02\phantom{\rule{0.3em}{0ex}}\mathrm{T}$. At higher fields, ferromagnetic and antiferromagnetic order coexist in different domains in the sample, and the domain balance depends on both magnetic field and temperature. Antiferromagnetic Bragg reflections are observed below a N\'eel temperature of ${T}_{\mathrm{N}}=47\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ which is independent of the field. Ferromagnetic Bragg peaks are observed below a field-dependent Curie temperature which increases from ${T}_{\mathrm{C}}=52\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ at $B=0.2\phantom{\rule{0.3em}{0ex}}\mathrm{T}$ to ${T}_{\mathrm{C}}=70\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ at $B=5\phantom{\rule{0.3em}{0ex}}\mathrm{T}$. Both phase transitions are concurrently observed in ac susceptibility and $\ensuremath{\mu}\mathrm{SR}$ measurements.

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