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

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Rapp, Akos; Schmitteckert, Peter; Takacs, Gabor; Zarand, Gergely: Asymptotic scattering and duality in the one-dimensional three-state quantum Potts model on a lattice. In: New Journal of Physics 15 (2013), 13058. DOI:

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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.
License of this version: CC BY-NC-SA 3.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2013-01-28
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 99 84.62%
2 image of flag of China China 4 3.42%
3 image of flag of United States United States 2 1.71%
4 image of flag of Russian Federation Russian Federation 2 1.71%
5 image of flag of Malaysia Malaysia 2 1.71%
6 image of flag of No geo information available No geo information available 1 0.85%
7 image of flag of Romania Romania 1 0.85%
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9 image of flag of India India 1 0.85%
10 image of flag of France France 1 0.85%
    other countries 3 2.56%

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