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

Ákos Rapp, Peter Schmitteckert, Gábor Takács, Gergely Zaránd

Research output: Article

7 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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice'. Together they form a unique fingerprint.

  • Cite this