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

Abstract

Recent discovery of the half quantized thermal Hall conductivity in $\alpha$-RuCl${}_3$, 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.

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Cited by in corpus (83)

• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Geometrical frustration versus Kitaev interactions in BaCo${}_2$(AsO${}_4$)${}_2$
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Thermodynamic perspective on the field-induced behavior of $\alpha$-RuCl${}_3$
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Theory of the Kitaev model in a [111] magnetic field
• Tensor network wavefunction of $S=1$ Kitaev spin liquids
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Variational study of the Kitaev-Heisenberg-Gamma model
• Emergence of a nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets
• Simulation of three-dimensional quantum systems with projected entangled-pair states
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Superconducting stripes in the hole-doped three-band Hubbard model
• The dynamics of local magnetic moments induced by itinerant Weyl electrons
• Kitaev Quantum Spin Liquids
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Evidence for the first-order topological phase transition in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Multinode quantum spin liquids on the honeycomb lattice
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Ground-state properties of the $K-\Gamma$ model on a honeycomb lattice
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Proximate Kitaev system for an intermediate magnetic phase in in-plane magnetic fields
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Phase diagrams of spin-$S$ Kitaev ladders
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Differentiable programming tensor networks for Kitaev magnets
• Scattering phenomena for spin transport in Kitaev spin liquid
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Efficient tensor network algorithm for layered systems
• Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
• Spectral functions with infinite projected entangled-pair states
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• Topological phase transitions and thermal Hall effect in a noncollinear spin texture
• Chiral spin state and nematic ferromagnet in the spin-1 Kitaev-$\Gamma$ model
• Competing States in the Two-Dimensional Frustrated Kondo-Necklace Model
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction
• Electric field control of a quantum spin liquid in weak Mott insulators
• Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Emergent Hyper-Magic Manifold in Twisted Kitaev Bilayers
• High-field quantum spin liquid transitions and angle-field phase diagram of Kitaev magnet $\alpha$-RuCl${}_3$
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Exploiting the Hermitian symmetry in tensor network algorithms
• Quantum Spin Liquid phases in Kitaev Materials
• Efficient optimization and conceptual barriers in variational finite Projected Entangled-Pair States
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Field tuning Kitaev systems for spin fractionalization and topological order
• Accelerating two-dimensional tensor network contractions using QR decompositions
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• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• The field-angle anisotropy of proximate Kitaev systems under an in-plane magnetic field
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition