Critical Behaviour of One-particle Spectral Weights in the Transverse Ising Model

Abstract

We investigate the critical behaviour of the spectral weight of a single quasiparticle, one of the key observables in experiment, for the particular case of the transverse Ising model.Series expansions are calculated for the linear chain and the square and simple cubic lattices. For the chain model, a conjectured exact result is discovered. For the square and simple cubic lattices, series analyses are used to estimate the critical exponents. The results agree with the general predictions of Sachdev.

arXiv comment4 pages, 3 figures

References in corpus (3)

• Critical Phenomena and Renormalization-Group Theory
• The susceptibility of the square lattice Ising model: New developments
• Finite-Size Scaling in the transverse Ising Model on a Square Lattice

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