Correlation functions of the one-dimensional random-field Ising model at zero temperature
- Center for Theoretical Physics, Laboratory for Nuclear Science Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
- Department of Mathematics, Northeastern University, Boston, Massachusetts 02115 (United States)
We consider the one-dimensional random-field Ising model, where the spin-spin coupling [ital J] is ferromagnetic and the external field is chosen to be +[ital h] with probability [ital p] and [minus][ital h] with probability 1[minus][ital p]. At zero temperature, we calculate an exact expression for the correlation length of the quenched average of the correlation function [l angle][ital s][sub 0][ital s[ital n]][r angle][minus][l angle][ital s][sub 0][r angle][l angle][ital s][sub [ital n]][r angle] in the case that 2[ital J]/[ital h] is not an integer. The result is a discontinuous function of 2[ital J]/[ital h]. When [ital p]=1/2, we also place a bound on the correlation length of the quenched average of the correlation function [l angle][ital s][sub 0][ital s[ital n]][r angle].
- DOE Contract Number:
- AC02-76ER03069
- OSTI ID:
- 6073583
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:13; ISSN PRBMDO; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
CRYSTAL MODELS
ENTROPY
FUNCTIONS
ISING MODEL
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
ORIENTATION
PHYSICAL PROPERTIES
RANDOMNESS
SPIN ORIENTATION
TEMPERATURE ZERO K
THERMODYNAMIC PROPERTIES