Low-temperature quantum critical behaviour of systems with transverse Ising-like intrinsic dynamics

• Published in: Physica A Vol. 327; no. 3; pp. 442 - 460
• Main Authors: Caramico D'Auria, A., De Cesare, L., Rabuffo, I.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15-09-2003
• Subjects: Crossover effective exponents; Quantum critical point; 75.10.Jm; Quantum critical point; Crossover effective exponents; 68.35.Rh; 05.10.Cc
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/S0378-4371(03)00403-5

The low-temperature properties and crossover phenomena of
d-dimensional transverse Ising-like systems within the influence domain of the quantum critical point are investigated solving the appropriate one-loop renormalization group equations. The phase diagram is obtained near and at
d=3 and several sets of critical exponents are determined which describe different responses of a system to quantum fluctuations according to the way of approaching the quantum critical point. The results are in remarkable agreement with experiments for a wide variety of compounds exhibiting a quantum phase transition, as the ferroelectric oxides and other displacive systems.