Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCo${}_2$V${}_2$O${}_8$

Abstract

Since the seminal ideas of Berezinskii, Kosterlitz and Thouless, topological excitations are at the heart of our understanding of a whole novel class of phase transitions. In most of the cases, those transitions are controlled by a single type of topological objects. There are however some situations, still poorly understood, where two dual topological excitations fight to control the phase diagram and the transition. Finding experimental realization of such cases is thus of considerable interest. We show here that this situation occurs in BaCo${}_2$V${}_2$O${}_8$, a spin-1/2 Ising-like quasi-one dimensional antiferromagnet when subjected to a uniform magnetic field transverse to the Ising axis. Using neutron scattering experiments, we measure a drastic modification of the quantum excitations beyond a critical value of the magnetic field. This quantum phase transition is identified, through a comparison with theoretical calculations, to be a transition between two different types of solitonic topological objects, which are captured by different components of the dynamical structure factor.

9 pages, 4 figures; 10 additional pages of supplemental information containing 6 figures

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• Experimental Observation of Quantum Many-Body Excitations of $E_8$ Symmetry in the Ising Chain Ferromagnet CoNb${}_2$O${}_6$
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• Probing magnon dynamics and interactions in a ferromagnetic spin-1 chain
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• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• Confinement and bound states of bound states in a transverse-field two-leg Ising ladder
• Nonlinear spectroscopy of bound states in perturbed Ising spin chains
• Intrinsic Jump Character of the First-Order Quantum Phase Transitions
• Quantum Spin Supersolid as a precursory Dirac Spin Liquid in a Triangular Lattice Antiferromagnet
• Phase diagram and quantum criticality of Heisenberg spin chains with Ising-like interchain couplings -- Implication to YbAlO${}_3$
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• Magnetic phase diagram of the quantum spin chain compound SrCo${}_2$V${}_2$O${}_8$: a single-crystal neutron diffraction study in magnetic field
• Unconventional field-induced spin gap in an $S=1/2$ chiral staggered chain
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• Topological transition between competing orders in quantum spin chains
• Experimental observation of repulsively bound magnons
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• From "Weak" to "Strong" Hole Confinement in a Mott Insulator
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• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
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• Spin dynamics of the $E_8$ particles
• Field-Tuned Quantum Effects in a Triangular-Lattice Ising Magnet
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• Field-induced dimer orders in quantum spin chains
• Confinement of many-body Bethe strings
• Refined Spin Wave Model and Multi-magnon Bound States in $L{i}_{2}Cu{O}_2$
• Charging a Dimerized Quantum XY Chain
• Na${}_5$Co${}_{15.5}$Te${}_6$O${}_{36}$: an $S$ = 1/2 stacked Ising kagome antiferromagnet with a partially disordered ground state
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• Repulsively bound magnon excitations of a spin-1/2 XXZ chain in a staggered transverse field
• A possible spin Jahn-Teller material: ordered pseudobrookite FeTi2O5
• Successive magnetic orderings in the Ising spin chain magnet DyNi${}_5$Ge${}_3$
• Persistence of Ising-like easy-axis spin correlations in the paramagnetic state of the spin-1 chain compound NiTe${}_2$O${}_5$
• Quasi-fractionalization of spin in a cluster-based Haldane state supported by chirality of a triangular spin tube
• Signatures of Domain-Wall Confinement in Raman Spectroscopy of Ising Spin Chains
• Second-order magnetic responses in quantum magnets: Magnetization under ac magnetic fields
• Confinement of spinons in the XXZ spin-1/2 chain in presence of the transverse magnetic field
• Few-body precursors of topological frustration
• Quantized ΔS=2 Excitation Spectra by Confinement in an S=1 Spin Chain
• Semiclassical approach to spin dynamics of a ferromagnetic S=1 chain
• Realization of a Spin-1/2 Hexagonal-Plaquette Chain with Ising-Like Anisotropy
• Exploring Low-Dimensional Magnetism in Cobalt Vanadates, $A$CoV${}_2$O${}_7$~($A$~=~Ca, Sr) : Crystal Growth and Magnetic Properties of Effective Spin-1/2 Zigzag Chains