Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain

Details Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain

2007-04-10

arxiv.org/abs/0704.1194v1

Phys. Rev. B 76, 064421 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures

Scientific paper

10.1103/PhysRevB.76.064421

We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three different ways: the position of the maximum of the average entanglement entropy, the scaling behavior of the surface magnetization, and the energy of a soft mode. All three lead to a log-normal distribution of the pseudo-critical transverse fields, where the width scales as $L^{-1/\nu}$ with $\nu=2$ and the shift of the average value scales as $L^{-1/\nu_{typ}}$ with $\nu_{typ}=1$, which we related to the scaling of average and typical quantities in the critical region.

Affiliated with

Also associated with

No associations

Rating

Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain 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-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207354