Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects

Abstract

Transverse field Ising model is a common model in quantum magnetism and is often illustrated as an example for quantum phase transition. Its physical origin in quantum magnets, however, is actually not quite well-understood. The quantum mechanical properties of this model on frustrated systems are not well-understood either. We here clarify the physical origin, both extrinsic one and intrinsic one, for the transverse field of the quantum Ising model, and then explain the quantum effects in the Kagome system. We discuss the quantum plaquette order and the quantum phase transition out of this ordered state in the rare-earth Kagome magnets. Our specific results can find their relevance in the rare-earth tripod Kagome magnets.

arXiv comment10 pages

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Cited by in corpus (19)

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• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
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• Exchange renormalized crystal field excitation in a quantum Ising magnet KTmSe${}_2$
• Excitation Spectrum and Spin Hamiltonian of the Frustrated Quantum Ising Magnet Pr${}_3$BWO${}_9$
• Ordered ground states of kagome magnets with generic exchange anisotropy
• Field-Tuned Quantum Effects in a Triangular-Lattice Ising Magnet
• U(1) Dirac quantum spin liquid candidate in triangular-lattice antiferromagnet CeMgAl${}_{11}$O${}_{19}$
• A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
• Emergent Berezinskii-Kosterlitz-Thouless and Kugel-Khomskii physics in the triangular lattice bilayer colbaltate
• Emergent Halperin-Saslow mode and Gauge Glass in quantum Ising magnet TmMgGaO${}_4$
• Induced quantum magnetism on a triangular lattice of non-Kramers ions in PrMgAl11O19
• Doping-induced structural transformation in the spin-1/2 triangular-lattice antiferromagnet Na${}_2$Ba${}_{1-x}$Sr${}_x$Co(PO${}_4$)${}_2$
• Emergent transverse-field Ising model in ${\mathbf{d}}^4$ spin-orbit Mott insulators
• Crystal-Field--Driven Magnetoelectric Coupling in the Non-Kramers Hexaaluminate PrMgAl11O19
• Three-dimensional Sandglass Magnet with Non-Kramers ions
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
• Canted ferromagnetic order in a distorted triangular-lattice magnet Na${}_2$SrCo(VO${}_4$)${}_2$