Data for Fig. 5 of J. Phys. A 51 (2018) 195001
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Contribution of the $SU(2){N_f}$ anyons to the low temperature properties of the model (2.1) for $\nu=3$ (inset for $\nu=4$): using the criteria described in the main text the parameter regions identified using analytical arguments for $T\to0$ before are located in the phase diagram (the actual location of the boundaries is based on numerical data for $N_f=2$). For small magnetic fields a gas of non-interacting quasi-particles with the anyon as an internal zero energy degree of freedom bound to them is realized. Here the dashed line indicates $\epsilon{j_0}(0)=\epsilon_{N_f}(0)$, i.e. the location of the crossover between regions where the lowest energy breathers, $j_1=N_f$, (region I) or kinks (region II) dominate the free energy. In region III the presence of thermally activated kinks with a small but finite density lifts the degeneracy of the zero modes. As argued in Ref.~\cite{Tsve14a,JKLRT17} this results in the formation of a collective state of the anyons described by $Z_{N_f}$ parafermions. % For fields $zH>M_0$ the kinks condense and the low energy behaviour of the model is determined by the corresponding $U(1)$ bosonic mode and the parafermion collective modes of the non-Abelian $SU(2)_{N_f}$ spin-$\frac12$ anyons with ferromagnetic interaction. For $zH\gg M_0$ the Fermi velocities of kinks and parafermions degenerate yielding a $SU(2)$ WZNW model at level $N_f$ for the effective description of the model.
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| Data last updated | March 18, 2019 |
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