Equivalence between two-dimensional alternating/random Ising model and the ground state of one-dimensional alternating/random XY chain
arXiv:1209.2442 · doi:10.1209/0295-5075/108/30001
Abstract
It is derived that the two-dimensional Ising model with alternating/random interactions and with periodic/free boundary conditions is equivalent to the ground state of the one-dimensional alternating/random XY model with the corresponding periodic/free boundary conditions. This provides an exact equivalence between a random rectangular Ising model, in which the Griffiths-McCoy phase appears, and a random XY chain.
10 pages
References in corpus (4)
- Exact results for quantum phase transitions in random XY spin chains
- Exact results on spin dynamics and multiple quantum dynamics in alternating spin-1/2 chains with XY-Hamiltonian at high temperatures
- Surface Magnetisation and Surface Correlations in Aperiodic Ising Models
- Exact Diagonalisation of The XY-Hamiltonian of Open Linear Chains with Periodic Coupling Constants and Its Application to Dynamics of One-Dimensional Spin Systems