Quantum crossover behaviour of the Ising model in a transverse field for the spatial dimensions 2<d<3, d=3 and 3<d<4
K. Lukierska‐Walasek, Katarzyna Walasek
The field theoretical renormalisation group method, which correctly describes the critical as well as the multicritical (at zero temperature) behaviours of the quantum mechanical d-dimensional Ising model in a transverse magnetic field, is proposed. Due to the introduction of the additional renormalisation the singularities associated with zero temperature have been removed. The crossover scaling form of the inverse correlation length and longitudinal susceptibility are considered for the following spatial dimensions d:2<d<3, d=3 and 3<d<4. For 2<d<3, d=3 and 3<d<4 the calculations are performed to the first order in 3-d and 4-d, respectively.
Journal of Physics C Solid State Physics•Jun 10, 1983•13 citations