Abstract
As novel topological phases in correlated electron systems, we have found two examples of non-ferromagnetic states that exhibit a large anomalous Hall effect. One is the chiral spin liquid compound , which exhibits a spontaneous Hall effect in a spin liquid state due to spin ice correlation. The other is the chiral antiferromagnets
and
that exhibit a large anomalous Hall effect at room temperature. The latter shows a sign change of the anomalous Hall effect by a small change in the magnetic field by a few 100 G, which should be useful for various applications. We will discuss that the magnetic Weyl metal states are the origin for such a large anomalous Hall effect observed in both the spin liquid and antiferromagnet that possess almost no magnetisation.
Acknowledgements
We thank Naoki Kiyohara, Yosuke Matsumoto, Akito Sakai, Collin Broholm, Luis Balicas, Takashi Kondo, Ryotaro Arita, Michito Suzuki, Leon Balents and Yong Baek Kim for useful discussions. The use of the facilities of the Materials Design and Characterisation Laboratory at the Institute for Solid State Physics, The University of Tokyo, is gratefully acknowledged.
Notes
No potential conflict of interest was reported by the authors.