Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-08-22
Phys. Rev. B 76, 184422 (2007)
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 pages, 3 figures; minor changes, proofread for publication
Scientific paper
10.1103/PhysRevB.76.184422
We develop a mean-field theory for random quantum spin systems using the spin coherent state path integral representation. After the model is reduced to the mean field one-body Hamiltonian, the integral is analyzed with the aid of several methods such as the semiclassical method and the gauge transformation. As an application we consider the Sherrington-Kirkpatrick model in a transverse field. Using the Landau expansion and its improved versions, we give a detailed analysis of the imaginary-time dependence of the order parameters. Integrating out the quantum part of the order parameters, we obtain the effective renormalized free energy written in terms of the classically defined order parameters. Our method allows us to obtain the spin glass-paramagnetic phase transition point $\Gamma/J\sim 1.62$ at T=0.
No associations
LandOfFree
Quantum fluctuations in the transverse Ising spin glass model: A field theory of random quantum spin systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum fluctuations in the transverse Ising spin glass model: A field theory of random quantum spin systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum fluctuations in the transverse Ising spin glass model: A field theory of random quantum spin systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-135602