Spinon excitations in the XX chain: spectra, transition rates, observability

Abstract

The exact one-to-one mapping between (spinless) Jordan-Wigner lattice fermions and (spin-1/2) spinons is established for all eigenstates of the one-dimensional s = 1=2 XX model on a lattice with an even or odd number N of lattice sites and periodic boundary conditions. Exact product formulas for the transition rates derived via Bethe ansatz are used to calculate asymptotic expressions of the 2-spinon and 4-spinon parts (for large even N) as well as of the 1-spinon and 3-spinon parts (for large odd N) of the dynamic spin structure factors. The observability of these spectral contributions is assessed for finite and infinite N.

19 pages, 10 figures

References in corpus (10)

• Quantum Inverse Scattering Method and Correlation Functions
• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• Temperature Correlations of Quantum Spins
• Exact two-spin dynamic structure factor of the one-dimensional s=1/2 Heisenberg-Ising antiferromagnet
• Gaussian, exponential, and power-law decay of time-dependent correlation functions in quantum spin chains
• Dynamics of spin correlations in the spin-1/2 isotropic XY chain in a transverse field
• Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet
• Spectrum and transition rates of the XX chain analyzed via Bethe ansatz
• Dimer and trimer fluctuations in the s=1/2 transverse XX chain

Cited by in corpus (15)

• Entanglement entropy of excited states
• On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain
• On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin $1/2$ chain
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
• Tracking the effects of interactions on spinons in gapless Heisenberg chains
• Thermodynamics of statistically interacting quantum gas in D dimensions
• Finite temperature correlation functions from discrete functional equations
• Dynamic properties of quantum spin chains: Simple route to complex behavior
• Statistically interacting quasiparticles in Ising chains
• On the absorption of microwaves by the one-dimensional spin-1/2 Heisenberg-Ising magnet
• Lattice vs. continuum theory of the periodic Heisenberg chain
• The Kondo effect in the quantum $XX$ spin chain
• Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry
• Interaction and thermodynamics of spinons in the XX chain
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions