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

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  • Nishiyama, Yoshihiro

Abstract

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/m1=1.84(1).

Suggested Citation

  • Nishiyama, Yoshihiro, 2014. "Universal critical behavior of the two-magnon-bound-state mass gap for the (2+1)-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 577-582.
    • Handle: RePEc:eee:phsmap:v:413:y:2014:i:c:p:577-582
    DOI: 10.1016/j.physa.2014.07.025
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