Journal article

RSOS quantum chains associated with off-critical minimal models and Z(n) parafermions

Davide Bianchini, Elisa Ercolessi, Paul A Pearce, Francesco Ravanini

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | IOP PUBLISHING LTD | Published : 2015

Abstract

We consider the φ1,3 off-critical perturbation M(m,m′ ; t) of the general non-unitary minimal models where 2 ≤ m ≤ m′ and m, m′ are coprime and t measures the departure from criticality corresponding to the φ1,3 integrable perturbation. We view these models as the continuum scaling limit in the ferromagnetic Regime III of the Forrester-Baxter Restricted Solid-On-Solid (RSOS) models on the square lattice. We also consider the RSOS models in the antiferromagnetic Regime II related in the continuum scaling limit ℤn to parfermions with n = m′ - 2. Using an elliptic Yang-Baxter algebra of planar tiles encoding the allowed face configurations, we obtain the Hamiltonians of the associated quantum c..

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University of Melbourne Researchers

Grants

Funding Acknowledgements

EE and FR thank the INFN grants QUANTUM and GAST for partial financial support. DB acknowledges the warm hospitality of the University of Bologna and INFN where part of this work was done. PAP is supported by the Melbourne Research Grant Support Scheme and gratefully acknowledges support during a visit to the Asia Pacific Centre for Theoretical Physics, Pohang, South Korea. We thank O Castro-Alvaredo and B Doyon for useful discussions.