Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-08-21
Phys. Rev. B 56 (1997) 11031-50
Physics
Condensed Matter
Statistical Mechanics
22 pages, 8 eps-figures, uses RevTex and epsf, minor corrections
Scientific paper
10.1103/PhysRevB.56.11031
We consider the Ising model and the directed walk on two-dimensional layered lattices and show that the two problems are inherently related: The zero-field thermodynamical properties of the Ising model are contained in the spectrum of the transfer matrix of the directed walk. The critical properties of the two models are connected to the scaling behavior of the eigenvalue spectrum of the transfer matrix which is studied exactly through renormalization for different self-similar distributions of the couplings. The models show very rich bulk and surface critical behaviors with nonuniversal critical exponents, coupling-dependent anisotropic scaling, first-order surface transition, and stretched exponential critical correlations. It is shown that all the nonuniversal critical exponents obtained for the aperiodic Ising models satisfy scaling relations and can be expressed as functions of varying surface magnetic exponents.
Igloi Ferenc
Karevski Dragi
Szalma Ferenc
Turban Loïc
No associations
LandOfFree
Exact Renormalization-Group Study of Aperiodic Ising Quantum Chains and Directed Walks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact Renormalization-Group Study of Aperiodic Ising Quantum Chains and Directed Walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Renormalization-Group Study of Aperiodic Ising Quantum Chains and Directed Walks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-5470