Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-07-07
Phys. Rev. Lett. 107, 157201 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 5 figures, published version
Scientific paper
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 N\'eel state (achieved in one dimension using long-range interactions).
Sandvik Anders. W.
Tang Ying
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