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

Rapp, Ákos and Schmitteckert, Peter and Takács, Gábor and Zaránd, Gergely Attila (2013) Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice. New Journal of Physics, 15 (1). Paper-013058. ISSN 1367-2630

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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 behaviour observed on the lattice.

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