Solution of the Quantum Sherrington-Kirkpatrick Model

Details Solution of the Quantum Sherrington-Kirkpatrick Model Solution of the Quantum Sherrington-Kirkpatrick Model

1997-07-28

arxiv.org/abs/cond-mat/9707288v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages revtex with 2 ps figures

Scientific paper

We solve the $S=1/2$ infinite-range random Heisenberg Hamiltonian in the paramagnetic phase using quantum Monte Carlo and analytical techniques. We find that the spin-glass susceptibility diverges at a finite temperature $T_g$ which demonstrates the existence of a low-temperature ordered phase. Quantum fluctuations reduce the critical temperature and the effective Curie constant with respect to their classical values. They also give rise to a redistribution of spectral weight in the dynamic structure factor in the paramagnetic phase. As the temperature decreases the spectrum of magnetic excitations gradually splits into quasi-elastic and inelastic contributions whose weights scale as $S^2$ and $S$ at low temperature.

Affiliated with

Also associated with

No associations

Rating

Solution of the Quantum Sherrington-Kirkpatrick Model 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 Solution of the Quantum Sherrington-Kirkpatrick Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solution of the Quantum Sherrington-Kirkpatrick Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-287018