Magnetic field induced quantum phases in a tensor network study of Kitaev magnets

Hyun-Yong Lee, Ryui Kaneko, Li Ern Chern, Tsuyoshi Okubo, Youhei Yamaji, Naoki Kawashima and Yong Baek Kim ()
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Hyun-Yong Lee: University of Tokyo
Ryui Kaneko: University of Tokyo
Li Ern Chern: University of Toronto
Tsuyoshi Okubo: University of Tokyo
Youhei Yamaji: University of Tokyo
Naoki Kawashima: University of Tokyo
Yong Baek Kim: University of Toronto

Nature Communications, 2020, vol. 11, issue 1, 1-7

Abstract: Abstract Recent discovery of the half quantized thermal Hall conductivity in $$\alpha$$α-RuCl$${}_{3}$$3, a candidate material for the Kitaev spin liquid, suggests the presence of a highly entangled quantum state in external magnetic fields. This field induced phase appears between the low field zig-zag magnetic order and the high field polarized state. Motivated by this experiment, we study possible field induced quantum phases in theoretical models of the Kitaev magnets, using the two dimensional tensor network approach or infinite tensor product states. We find various quantum ground states in addition to the chiral Kitaev spin liquid occupying a small area in the phase diagram. They form a band of emergent quantum phases in an intermediate window of external magnetic fields, somewhat reminiscent of the experiment. We discuss the implications of these results in view of the experiment and previous theoretical studies.

Date: 2020
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DOI: 10.1038/s41467-020-15320-x

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