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- Looking for spinon deconfinement in two dimensions

We have used a recently proposed quantum Monte Carlo

algorithm [1] to study spinons (emergent S = 1/2 excitations) in 2D

Resonating-Valence-Bond (RVB) spin liquids and in a J-Q model hosting a Neel –

Valence Bond Solid (VBS) phase transition at zero temperature [2]. We confirm

that spinons are well defined quasi-particles with finite intrinsic size in the

RVB spin liquid. The distance distribution between two spinons shows signatures

of deconfinement.

However, at the Neel–VBS transition, we found that the

size of a single spinon is significantly greater than the bound-state in VBS,

which indicates that spinons are “soft” and shrink when bound state is formed.

Both spinon size and confinement length diverge as the critical point is

approached. We have also compared spinon statistics in J-Q model with bilayer

Heisenberg model and 1D spin chain. We conclude that the spinon deconfinement

is marginal in the lowest-energy state in the spin-1 sector, due to very weak

attractive spinon interactions. Deconfinement in the vicinity of the critical

point should occur at higher energies.

Event Type:

Seminar

Collection/Series:

Scientific Area(s):

Speaker(s):

Event Date:

Tuesday, February 5, 2013 - 15:30 to 17:00

Location:

Bob Room

©2012 Perimeter Institute for Theoretical Physics