Numerical study of the random transverse-field Ising spin chain
- 1 April 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 53 (13), 8486-8498
- https://doi.org/10.1103/physrevb.53.8486
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 noninteracting fermions, we can obtain a numerically exact solution for rather large system sizes, L≤128. Our results confirm the striking predictions of earlier analytical work and, in addition, give results for some probability distributions and scaling functions. © 1996 The American Physical Society.Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Critical behavior of random transverse-field Ising spin chainsPhysical Review B, 1995
- Random transverse field Ising spin chainsPhysical Review Letters, 1992
- Nearest-neighbor frustrated random-bond model ind=2: Some exact resultsPhysical Review B, 1987
- Nature of the "Griffiths" singularity in dilute magnetsPhysical Review B, 1975
- Theory of a Two-Dimensional Ising Model with Random Impurities. III. Boundary EffectsPhysical Review B, 1969
- Theory of a Two-Dimensional Ising Model with Random Impurities. II. Spin Correlation FunctionsPhysical Review B, 1969
- Incompleteness of the Critical Exponent Description for Ferromagnetic Systems Containing Random ImpuritiesPhysical Review Letters, 1969
- Theory of a Two-Dimensional Ising Model with Random Impurities. I. ThermodynamicsPhysical Review B, 1968
- Statistical Mechanics of the Anisotropic Linear Heisenberg ModelPhysical Review B, 1962
- Two soluble models of an antiferromagnetic chainAnnals of Physics, 1961