Method to characterize spinons as emergent elementary particles

Abstract

We develop a technique to directly study spinons (emergent spin S = 1/2 particles) in quantum spin models in any number of dimensions. The size of a spinon wave packet and of a bound pair (a triplon) are defined in terms of wave-function overlaps that can be evaluated by quantum Monte Carlo simulations. We show that the same information is contained in the spin-spin correlation function as well. We illustrate the method in one dimension. We confirm that spinons are well defined particles (have exponentially localized wave packet) in a valence-bond-solid state, are marginally defined (with power-law shaped wave packet) in the standard Heisenberg critical state, and are not well defined in an ordered Néel state (achieved in one dimension using long-range interactions).

5 pages, 5 figures, published version

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Cited by in corpus (32)

• Quantum criticality with two length scales
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Universal Signatures of Fractionalized Quantum Critical Points
• Finite-size scaling and boundary effects in two-dimensional valence-bond-solids
• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• Quantum Kagome Ice
• Confinement and Deconfinement of Spinons in Two Dimensions
• Generalized Moment Method for Gap Estimation and Quantum Monte Carlo Level Spectroscopy
• Properties of the random-singlet phase: from the disordered Heisenberg chain to an amorphous valence-bond solid
• Quantum Monte Carlo studies of spinons in one-dimensional spin systems
• Spinon confinement: dynamics of weakly coupled Hubbard chains
• Deconfined quantum criticality in spin-1/2 chains with long-range interactions
• First-principle simulations of 1+1d quantum field theories at $\theta =\pi$ and spin-chains
• Emergent Spin Excitations in a Bethe Lattice at Percolation
• Field-driven quantum phase transitions in $S=1/2$ spin chains
• Numerical Investigations of SO(4) Emergent Extended Symmetry in Spin-1/2 Heisenberg Antiferromagnetic Chains
• Localization of spinons in random Majumdar-Ghosh chains
• Correlated valence-bond states
• Metamagnetism and zero-scale-factor universality in the two-dimensional $J$-$Q$ model
• Dulmage-Mendelsohn percolation: Geometry of maximally-packed dimer models and topologically-protected zero modes on site-diluted bipartite lattices
• Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point
• 1D valence bond solids in a magnetic field
• Dual dynamic scaling in deconfined quantum criticality
• The Néel-VBS transition in three-dimensional SU($N$) antiferromagnets
• Detecting emergent continuous symmetries at quantum criticality
• Indicators of Conformal Field Theory: entanglement entropy and multiple-point correlators
• Massive spinons in $S=1/2$ spin chains: spinon-pair operator representation
• Emergent O(4) symmetry at an one-dimensional deconfined quantum tricritical point
• Valence bond distribution and correlation in bipartite Heisenberg antiferromagnets
• Short-imaginary-time quantum critical dynamics in the J-Q${}_3$ spin chain
• Magnetization jump in one dimensional $J-Q_2$ model with anisotropic exchange
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states