Charge Neutral Current Generation in a Spontaneous Quantum Hall Antiferromagnet

Intrinsic Hall conductivity, emerging when chiral symmetry is broken, at the heart of future low energy consumption devices because it can generate non-dissipative charge neutral current. A breaking state also induced by electronic correlation even for centro-symmetric crystalline materials. However, generation current intrinsic conductivity such spontaneous experimentally elusive. Here we report and a in antiferromagnetic zero Landau level bilayer graphene, where spin valley contrasting has been theoretically predicted. We performed nonlocal transport experiment found cubic scaling relationship between local resistance, as striking evidence effect. Observation milestone toward understanding effect on transport. Our result paves way electrical non-magnetic graphene via coupling this combined with