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arXiv · 1112.5164

Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice

Akos Rapp·Peter Schmitteckert·Gabor Takacs·Gergely Zarand
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Abstract

We determine numerically the single-particle and the two-particle spectrum of the three-state quantum Potts model on a lattice by using the density matrix renormalization group method, and extract information on the asymptotic (small momentum) S-matrix of the quasiparticles. The low energy part of the finite size spectrum can be understood in terms of a simple effective model introduced in a previous work, and is consistent with an asymptotic S-matrix of an exchange form below a momentum scale $p^*$. This scale appears to vanish faster than the Compton scale, $mc$, as one approaches the critical point, suggesting that a dangerously irrelevant operator may be responsible for the behavior observed on the lattice.

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Akos Rapp, Peter Schmitteckert, Gabor Takacs, Gergely Zarand. 2013-01-29. Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice. https://doi.org/10.1088/1367-2630%2F15%2F1%2F013058

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