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Journal of Physics C Solid State Physics

2D pure and dilute quantum transverse Ising model

G. Kamieniarz

Published Oct 10, 1983• 4 citations
Publisher

Abstract

The quantum critical behaviour of the transverse Ising model on a planar lattice at zero temperature is shown, within approximate block renormalisation-group transformations, to be unaffected by the bond dilution. The critical exponents and the critical fields are calculated for both pure and dilute systems.
DOI
10.1088/0022-3719/16/28/007

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The critical behaviour of the spin- Ising model with a transverse field at zero temperature in triangular and square lattices is investigated through a finite-size rescaling transformation. This technique enables the critical properties of infinite systems to be calculated from the scaling properties of systems of finite size, in a generalisation of the so-called phenomenological renormalisation group. The critical field and correlation length exponent calculated using systems of fairly small sizes have reasonable accuracy, but calculations on larger clusters are limited by computer time and storage.