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A novel approach to Ising problems
Author(s) -
Hoede C.,
Zandvliet H.J.W.
Publication year - 2008
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.200710282
Subject(s) - photoexcitation , condensed matter physics , band gap , ternary operation , direct and indirect band gaps , physics , dispersion relation , debye model , electronic band structure , wavelength , seebeck coefficient , electron , materials science , lattice constant , thermal diffusivity , quantum mechanics , thermoelectric effect , excited state , computer science , diffraction , programming language
In 2000 Istrail suggested that calculating the partition function of non‐planar Ising models is an NP‐complete problem, implying that these problems are intractable and thus essentially unsolvable. In this note we discuss the validity of this suggestion and introduce the idea of gauging on an exact equation. We illustrate how this method works by applying it to two non‐planar Ising models, namely the 2D model with nearest and weak next nearest neighbor interactions and the anisotropic 3D model.