General conditions on site-dependent interaction ranges in Z(N) quantum chains ensure free-particle eigenspectra, with dynamical critical exponents computed for constant even/odd-site ranges.
Parafermions in the tau-2 model
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abstract
It has been shown recently by Baxter that the $\tau_2(t_q)$ model with open boundary conditions can be solved by the "parafermionic" method of Fendley. In Baxter's paper there are several conjectures, which were formulated based on numerical short-chain calculations. Here we present the proof of two of them.
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cond-mat.stat-mech 1years
2025 1verdicts
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Free fermionic and parafermionic multispin quantum chains with non-homogeneous interacting ranges
General conditions on site-dependent interaction ranges in Z(N) quantum chains ensure free-particle eigenspectra, with dynamical critical exponents computed for constant even/odd-site ranges.