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Exactly conserved quasilocal operators for the XXZ spin chain
(Institute of Physics - IOPBristol, 2014-09)
We extend T Prosen’s construction of quasilocal conserved quantities for the XXZ model (2011 Phys. Rev. Lett. 106 217206) to the case of periodic boundary conditions. These quasilocal operators stem from a two-parameter ...
A conformal invariant growth model
(IOP PUBLISHING LTD, 2010)
We present a one-parameter extension of the raise and peel one-dimensional growth model. The model is defined in the configuration space of Dyck (RSOS) paths. Tiles from a rarefied gas hit the interface and change its ...
Nonlocal asymmetric exclusion process on a ring and conformal invariance
(Institute of Physics - IOPBristol, 2013-09)
We present a one-dimensional nonlocal hopping model with exclusion on a ring. The model is related to the Raise and Peel growth model. A nonnegative parameter u controls the ratio of the local backwards and nonlocal forwards ...