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

Ákos Rapp, Peter Schmitteckert, G. Takács, G. Zaránd

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6 Citations (Scopus)

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.

Original languageEnglish
Article number013058
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - Jan 2013

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scattering
momentum
renormalization group methods
matrices
critical point
operators
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice. / Rapp, Ákos; Schmitteckert, Peter; Takács, G.; Zaránd, G.

In: New Journal of Physics, Vol. 15, 013058, 01.2013.

Research output: Contribution to journalArticle

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