https://doi.org/10.1007/s100510170027
Ground states versus low-temperature equilibria in random field Ising chains
1
Institut für Theoretische Physik, Universität zu Köln, 50926 Köln, Germany
2
c/o Forschungszentrum Jülich, 52425 Jülich, Germany
3
Helsinki University of Techn., Lab. of Physics, PO Box 1100, 02015 HUT, Finland
4
Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany
Corresponding author: a mja@fyslab.hut.fi
Received:
16
October
2000
Revised:
7
June
2001
Published online: 15 November 2001
Random walk arguments and exact numerical computations are used to study one-dimensional random field chains. The ground state structure is described with absorbing and non-absorbing random walk excursions. At low temperatures, the local magnetization follows the ground state except at regions where a local random field fluctuation makes thermal excitations easier. This is explained by the random walk picture, implying that the magnetization lengthscale is a product of the domain size and the thermal excitation scale.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 75.50.Lk – Spin glasses and other random magnets
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
