Universal critical behavior of the two-magnon-bound-state mass gap for the (2 + 1) -dimensional Ising model

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The two-magnon-bound-state mass gap m2 for the two-dimensional quantum Ising model was investigated by means of the numerical diagonalization method; the low-lying spectrum is directly accessible via the numerical diagonalization method. It has been claimed that the ratio m2/ m1 (m1: one-magnon mass gap) is a universal constant in the vicinity of the critical point. Aiming to suppress corrections to scaling (lattice artifact), we consider the spin-S=1 Ising model with finely-adjusted extended interactions. The simulation result for the finite-size cluster with N≤20 spins indicates the mass-gap ratio m2/m11.84(1).

Original languageEnglish
Pages (from-to)577-582
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Publication statusPublished - Nov 1 2014



  • Amplitude relation
  • Ising model
  • Magnon bound state
  • Numerical diagonalization method
  • Quantum phase transition
  • Three-dimensional-Ising universality

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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