Hierarchy of the low-lying excitations for the (2 + 1)-dimensional q = 3 Potts model in the ordered phase

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Abstract

The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.

Original languageEnglish
Pages (from-to)28-36
Number of pages9
JournalNuclear Physics B
Volume916
DOIs
Publication statusPublished - Mar 1 2017

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hierarchies
elementary excitations
transition points
magnons
excitation
proximity
energy spectra
magnetic permeability
expansion
estimates

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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abstract = "The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.",
author = "Yoshihiro Nishiyama",
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N2 - The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.

AB - The (2+1)-dimensional q=3 Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We investigate the low-lying spectrum through a dynamical susceptibility, which is readily tractable with the exact diagonalization method via the continued-fraction expansion. As a result, we estimate the series of (scaled) mass gaps, m2,3,4/m1 (m1: single-magnon mass), in proximity to the transition point.

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