Emergent phases in a compass chain with multisite interactions
arXiv:1705.10976 · doi:10.1103/PhysRevB.95.224404
Abstract
We study a dimerised spin chain with biaxial magnetic interacting ions in the presence of an 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 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 , 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.
12 pages, 10 figures
References in corpus (25)
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Quantum critical scaling of the geometric tensors
- Quantum discord and quantum phase transition in spin chains
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- Mixed-state fidelity and quantum criticality at finite temperature
- Ground-state fidelity in one-dimensional gapless model
- Criticality in correlated quantum matter
- Loschmidt Echo Revivals: Critical and Noncritical
- Spin model of magnetostrictions in multiferroic Mn perovskites
- Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
- Many-Body Interactions with Tunable-Coupling Transmon Qubits
- Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
- Multicriticality and entanglement in the one-dimensional quantum compass model
- Multiferroicity in the spin-1/2 quantum matter of LiCu2O2
- Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
- Dynamic properties of the spin-1/2 XY chain with three-site interactions
- Generalized fidelity susceptibility at phase transitions
- Magnetocaloric effect in spin-1/2 chains with three-spin interactions
- Exact treatment of magnetism-driven ferroelectricity in the one-dimensional compass model
- Quantum phase transitions in exactly solvable one-dimensional compass models
- Exact solution of a spin-1/2 chain with three-site interactions in a random transverse field: Influence of randomness on quantum phase transition
- Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions
- A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model
- Energy dynamics in a generalized compass chain
- Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction