A Numerical Study of the Random Transverse-Field Ising Spin Chain

Abstract

We study numerically the critical region and the disordered phase of the random transverse-field Ising chain. By using a mapping of Lieb, Schultz and Mattis to non-interacting fermions, we can obtain a numerically exact solution for rather large system sizes, $L \le 128$. Our results confirm the striking predictions of earlier analytical work and, in addition, give new results for some probability distributions and scaling functions.

16 pages with 23 embedded postscript figures. A uuencoded, compressed tar file. The postscript file is available by anonymous ftp from ftp://chopin.ucsc.edu/pub/one-d.ps