Abstract
The critical behavior of the random transverse-field Ising model in finite-dimensional lattices is governed by infinite disorder fixed points, several properties of which have already been calculated by the use of the strong disorder renormalization-group (SDRG) method. Here we extend these studies and calculate the connected transverse-spin correlation function by a numerical implementation of the SDRG method in d=1,2, and 3 dimensions. At the critical point an algebraic decay of the form ∼r-ηt is found, with a decay exponent being approximately ηt≈2+2d. In d=1 the results are related to dimer-dimer correlations in the random antiferromagnetic XX chain and have been tested by numerical calculations using free-fermionic techniques.
| Original language | English (US) |
|---|---|
| Article number | 094205 |
| Journal | Physical Review B |
| Volume | 97 |
| Issue number | 9 |
| DOIs | |
| State | Published - Mar 21 2018 |
Funding
This paper was supported by the Hungarian Scientific Research Fund under Grants No. K109577 and No. K115959. This paper was made possible through the support of a grant from the John Templeton Foundation (ID 60478). The opinions expressed in this paper are those of the authors and do not necessarily reflect the views of the John Templeton Foundation. We thank Y.-C. Lin for useful discussions.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics