Quasi-fractionalization of spin in a cluster-based Haldane state supported by chirality of a triangular spin tube
arXiv:2108.00681 · doi:10.1038/s42005-023-01399-3
Abstract
Fractionalization of quantum degrees of freedom holds the key to finding new phenomena in physics, e.g., the quark model in hadron physics, the spin-charge separation in strongly-correlated electron systems, and the fractional quantum Hall effect. A typical example of the fractionalization in quantum spin systems is the spin- Haldane state, whose intriguing characteristics are well described by fractionalized virtual spins in a bilinear-biquadratic spin- chain, the so-called Affleck--Kennedy--Lieb--Tasaki model, delivering two individual spin- degrees of freedom as edge states. Here we theoretically propose an exotic extension of the Haldane state and chirality in a triangular spin tube, inducing a quasi-fractionalization of spin- degree of freedom, i.e., a quarter spin. Existence of the edge state is confirmed both analytically and numerically, combining a low-energy perturbation theory and variational matrix-product state method. Our study can not only propose a new quantum spin property but pave a way to novel quantum states of matter.
arXiv comment10 pages, 3 figures
References in corpus (31)
- Topological insulators and superconductors
- Anyons in an exactly solved model and beyond
- A variational eigenvalue solver on a quantum processor
- The density-matrix renormalization group in the age of matrix product states
- Entanglement spectrum of a topological phase in one dimension
- A History of Dark Matter
- Symmetry protection of topological order in one-dimensional quantum spin systems
- Complete classification of 1D gapped quantum phases in interacting spin systems
- Novel schemes for measurement-based quantum computation
- Symmetry-protected phases for measurement-based quantum computation
- Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian
- Quantum computation on the edge of a symmetry-protected topological order
- Dynamics of composite Haldane spin chains in IPA-CuCl3
- Three-leg Antiferromagnetic Heisenberg Ladder with Frustrated Boundary Condition; Ground State Properties
- Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCoVO
- Magnetic characterization of the frustrated three-leg ladder compound [(CuCl2tachH)3Cl]Cl2
- Frustrated three-leg spin tubes: from spin 1/2 with chirality to spin 3/2
- Quantum computational renormalization in the Haldane phase
- Quantum phase transitions of the asymmetric three-leg spin tube
- Low-lying excitations of the three-leg spin tube using the density-matrix renormalization group method
- Heat capacity uncovers physics of a frustrated spin tube
- Soliton binding and low-lying singlets in frustrated odd-legged S=1/2 spin tubes
- Vector chirality and inhomogeneous magnetization in frustrated spin tubes in high magnetic fields
- Cluster-based Haldane state in edge-shared tetrahedral spin-cluster chain: Fedotovite KCuO(SO)
- Quantum phase transitions in three-leg spin tubes
- Spin-Chirality Separation and S_3-Symmetry Breakings in the Magnetization Plateau of the Quantum Spin Tube
- Cluster-based Haldane phases, bound magnon crystals and quantum spin liquids of a mixed spin-1 and spin-1/2 Heisenberg octahedral chain
- Ground state phase diagram of twisted three-leg spin tube in magnetic field
- Cluster-Based Haldane States in Spin-1/2 Cluster Chains
- Low-energy effective theory and two distinct critical phases in a spin-1/2 frustrated three-leg spin tube
- Ground-State Phases of Anisotropic Mixed Diamond Chains with Spins 1 and 1/2