Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm
arXiv:2506.22948 · doi:10.1063/5.0204689
Abstract
Spin chains are correlated quantum models of great interest in quantum systems and materials exhibiting quasi-one-dimensional magnetic properties. Here we review results on quantum problems associated with spin chains that are beyond the usual spinon paradigm. In this review we consider two quantum problems that are beyond the spinon representation: (a) Spin Bethe strings of length n that have no spinon representation, contribute to the dynamical properties of the spin-1/2 XXZ chain with anisotropy larger than 1 and for n=1,2,3 were experimentally identified and realized in the zigzag materials SrCo2V2O8 and BaCo2V2O8; (b) The spin stiffness associated with ballistic spin transport at arbitrary finite temperature, which involves a huge number of energy eigenstates, many of which are generated in the thermodynamic limit from ground states by an infinite number of elementary processes.
28 pages, 11 figures
References in corpus (45)
- Quantum sensing
- Antiferromagnetic spintronics
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Semiconductor Spin Qubits
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Finite-temperature transport in one-dimensional quantum lattice models
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Spin diffusion from an inhomogeneous quench in an integrable system
- Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
- Spin transport in a tunable Heisenberg model realized with ultracold atoms
- Families of quasi-local conservation laws and quantum spin transport
- Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
- Super-diffusion in one-dimensional quantum lattice models
- Colloquium: Atomic spin chains on surfaces
- Atomtronic circuits: from many-body physics to quantum technologies
- Experimental Observation of Bethe Strings
- Quantum limits to the energy resolution of magnetic field sensors
- Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin- chain
- Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
- Novel ordering of an S = 1/2 quasi one-dimensional Ising-like anitiferromagnet in magnetic field
- Geometry and the Hidden Order of Luttinger Liquids: the Universality of Squeezed Space
- Lower Bounding Diffusion Constant by the Curvature of Drude Weight
- Dispersions of Many-Body Bethe strings
- Field-induced incommensurate order for the quasi-one-dimensional XXZ model in a magnetic field
- Quantum Critical Dynamics of a Heisenberg-Ising Chain in a Longitudinal Field: Many-Body Strings versus Fractional Excitations
- Anomalous transport from hot quasiparticles in interacting spin chains
- Quasiparticles governing the zero-temperature dynamics of the 1D spin-1/2 Heisenberg antiferromagnet in a magnetic field
- High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
- Field-induced magnetic behavior in quasi-one-dimensional Ising-like antiferromagnet BaCo2V2O8: A single-crystal neutron diffraction study
- Signatures of integrability in charge and thermal transport in 1D quantum systems
- Giant magnetic-field dependence of the coupling between spin Tomonaga-Luttinger liquids in BaCo2V2O8
- Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin chains
- Pseudoparticle approach to 1D integrable quantum models
- Absence of high-temperature ballistic transport in the spin- chain within the grand-canonical ensemble
- Magnetic phase diagram of the quantum spin chain compound SrCoVO: a single-crystal neutron diffraction study in magnetic field
- Direct determination of the Tomonaga-Luttinger parameter in quasi-one-dimensional spin systems
- Dynamical structure factors of the spin-1/2 XXX chain at finite magnetic field
- Zigzag materials: selective interchain couplings control the coexistence of one-dimensional physics and deviations from it
- Field-induced antiferromagnetism and Tomonaga-Luttinger liquid behavior in the quasi-one-dimensional Ising-Antiferromagnet SrCo2V2O8
- Bethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain
- The role of q-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain
- Effects of finite-range interactions on the one-electron spectral properties of one-dimensional metals: Application to Bi/InSb(001)
- Inhomogeneous spin excitations in weakly coupled spin-1/2 chains
- Effects of finite-range interactions on the one-electron spectral properties of TTF-TCNQ
- Diffusive spin transport of the spin-1/2 XXZ chain in the Ising regime at zero magnetic field and finite temperature