Emergent phases in a compass chain with multisite interactions

You, W.-L.; Zhang, C.-J.; Ni, W.; Gong, M.; Oleś, A. M.

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Emergent phases in a compass chain with multisite interactions

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Oleś, A. M.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

You, W.-L., Zhang, C.-J., Ni, W., Gong, M., & Oleś, A. M. (2017). Emergent phases in a compass chain with multisite interactions. Physical Review B, 95(22): 224404.

Cite as: https://hdl.handle.net/21.11116/0000-000E-D310-1

Abstract

We study a dimerized spin chain with biaxial magnetic interacting ions in the presence of externally induced three-site interactions out of equilibrium. In the general case, the three-site interactions play a role in renormalizing the effective uniform magnetic field. We find that the existence of zero-energy Majorana modes is intricately related to the sign of Pfaffian of the Bogoliubov-de Gennes Hamiltonian and the relevant Z(2) topological invariant. In contrast, we show that an exotic spin-liquid phase can emerge in the compass limit through a Berezinskii-Kosterlitz-Thouless (BKT) quantum phase transition. Such a BKT transition is characterized by a large dynamic exponent z = 4, and the spin-liquid phase is robust under a uniform magnetic field. We find the relative entropy and the quantum discord can signal the BKT transitions. We also uncover a few differences in deriving the correlation functions for the systems with broken reflection symmetry.