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Understanding the interplay among different magnetic exchange interactionsand its physical consequences, especially in the presence of itinerantelectrons and disorders, remains one of the central themes in condensed matterphysics. In this vein, the coupling between antiferromagnetic and spin glassorders may lead to large exchange bias, a property of potential broadtechnological applications. In this article, we report the coexistence ofantiferromagnetic order and spin glass behaviors in a quasi-one-dimensionaliron telluride TaFe$_{1+x}$Te$_3$ ($x$=0.25). Its antiferromagnetism isbelieved to arise from the antiferromagnetic interchain coupling between theferromagnetically aligned FeTe chains along the $b$-axis, while the spin glassystate stems from the disordered Fe interstitials. This dichotomic role of chainand interstitial sublattices is responsible for the large exchange biasobserved at low temperatures, with the interstitial Fe acting as theuncompensated moment and its neighboring Fe chain providing the source for itspinning. This iron-based telluride may thereby represent a new paradigm tostudy the large family of transition metal chalcogenides whose magnetic orderor even the dimensionality can be tuned to a large extent, forming a fertileplayground to manipulate or switch the spin degrees of freedom thereof.

Coupling between Antiferromagnetic and Spin Glass Orders in the Quasi-One-Dimensional Iron Telluride TaFe$_{1+x}$Te$_3$ ($x$=0.25)