Low-Temperature Quantum Critical Behaviour of Systems with Transverse Ising-like Intrinsic Dynamics

Details Low-Temperature Quantum Critical Behaviour of Systems with Transverse Ising-like Intrinsic Dynamics Low-Temperature Quantum Critical Behaviour of Systems with Transverse Ising-like Intrinsic Dynamics

2003-06-28

arxiv.org/abs/cond-mat/0306713v1

Physics

Condensed Matter

Statistical Mechanics

36 pages, 2 figures, accepted in Physica A

Scientific paper

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.

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