Spinon confinement and deconfinement in spin-1 chains

Abstract

Motivated by the rich phase diagrams recently unveiled in frustrated spin-1 chains with competing next-nearest neighbour and four-spin interactions, we investigate the nature of the elementary excitations of spin-1 chains in the vicinity of phase transitions using the matrix-product state (MPS) representation of elementary excitations. First, we show that both spinons and magnons naturally arise in SU(2) invariant spin chains when describing ground states and elementary excitations using MPS. Then we investigate the nature of the elementary excitations across the first-oder transition between the Haldane phase and the topologically trivial next-nearest neighbor Haldane phase. We show explicitly that spinons deconfine at the transition, and we calculate the dispersion of these deconfined spinons with MPS. We also show that, immediately away from the transition line, spinons confine, forming dispersive spinon/anti-spinon bound states on both sides of the transition. Finally, we show that deconfined spinons also appear at the transition between the Haldane phase and the spontaneously dimerized phase when this transition is first order.

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Cited by in corpus (18)

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• Quenches and confinement in a Heisenberg-Ising spin ladder
• Generating function for projected entangled-pair states
• Momentum-resolved time evolution with matrix product states
• Bound states and deconfined spinons in the dynamical structure factor of the $J_1-J_2$ spin-1 chain
• Lattice regularisation and entanglement structure of the Gross-Neveu model
• The Haldane gap in the SU(3) [3 0 0] Heisenberg chain
• Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit
• Realization of Wess-Zumino-Witten transitions with levels $k=6$ and $k=4$ in a frustrated spin-3 chain
• Efficient and systematic calculation of arbitrary observables for the matrix product state excitation ansatz
• Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains
• Probing universal critical scaling with scan-DMRG
• Excitations and dynamical structure factor of $J_1-J_2$ spin-$3/2$ and spin-$5/2$ Heisenberg spin chains
• Relativistic meson spectra on ion-trap quantum simulators
• Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain
• Confinement, deconfinement, and bound states in the spin-$1$ and spin-$3/2$ generalizations of the Majumdar--Ghosh chain
• Extended Ashkin-Teller transition in two coupled frustrated Haldane chains