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

Yoshihiro Nishiyama

Physica A: Statistical Mechanics and its Applications, 2014, vol. 413, issue C, 577-582

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).

Keywords: Ising model; Quantum phase transition; Magnon bound state; Numerical diagonalization method; Amplitude relation; Three-dimensional-Ising universality (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437114005949
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:413:y:2014:i:c:p:577-582

DOI: 10.1016/j.physa.2014.07.025

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().