Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-11-19
J. Stat. Mech. (2008) P04012
Physics
Condensed Matter
Disordered Systems and Neural Networks
23 pages, 12 figures
Scientific paper
10.1088/1742-5468/2008/04/P04012
We study the effect of dissipation on the infinite randomness fixed point and the Griffiths-McCoy singularities of random transverse Ising systems in chains, ladders and in two-dimensions. A strong disorder renormalization group scheme is presented that allows the computation of the finite temperature behavior of the magnetic susceptibility and the spin specific heat. In the case of Ohmic dissipation the susceptibility displays a crossover from Griffiths-McCoy behavior (with a continuously varying dynamical exponent) to classical Curie behavior at some temperature $T^*$. The specific heat displays Griffiths-McCoy singularities over the whole temperature range. For super-Ohmic dissipation we find an infinite randomness fixed point within the same universality class as the transverse Ising system without dissipation. In this case the phase diagram and the parameter dependence of the dynamical exponent in the Griffiths-McCoy phase can be determined analytically.
Rieger Heiko
Schehr Gregory
No associations
LandOfFree
Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath 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 Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-115930