Classification of multipole order and its application to transport phenomena in antiferromagnet

Hikaru WATANABE

Kyoto University

The physics of multipole moment has been discussed in broad systems such as
strongly-correlated electron systems [1], multiferroic materials [2], and so on. Multipole
moments arise from the coupling between spin, orbital, sublattice degrees of freedom,
and lead to various phenomena in condensed matter: e.g. unconventional phases and
peculiar responses to external fields.
Furthermore, recent studies suggest that the uniform alignment of parityviolating
multipole moments, namely, odd-parity multipole order induces exotic
quantum phases and cross-correlated responses in metals [3]. An important feature of
odd-parity multipole ordered systems is unusual itinerant properties. In fact,
spontaneous emergence of spin-momentum coupling or asymmetric band structure is
closely related to intriguing quantum phenomenon.
In our work, we classified the even-/odd-parity multipole from the viewpoint of
point-group classification [4]. Our results systematically clarify the physical properties
of odd-parity multipole ordered systems and cross-correlated responses both in metals
and insulators, while previous studies have been limited to case studies [3]. We further
identified a novel transport phenomenon, magneto-piezoelectric effect, which is caused
by a coupling between elasticity and electricity in “conductors” [5]. This response may
suggest a topic in a recently developed field, antiferromagnetic spintronics [6], and will
promote functionalities of antiferromagnets.

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