Reflection Scattering Matrix of the Ising Model in a Random Boundary Magnetic Field

Abstract

The physical properties induced by a quenched surface magnetic field in the Ising model are investigated by means of boundary quantum field theory in replica space. Exact boundary scattering amplitudes are proposed and used to study the averaged quenched correlation functions.

37 pages (Latex), including 16 figures, one reference added

References in corpus (8)

• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Boundary energy and boundary states in integrable quantum field theories
• Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
• Form factors approach to current correlations in one dimensional systems with impurities
• On Ising Correlation Functions with Boundary Magnetic Field
• Boundary Bound States in Affine Toda Field Theory
• Critical behaviour near multiple junctions and dirty surfaces in the two-dimensional Ising model
• Exact Partition Function and Boundary State of 2-D Massive Ising Field Theory with Boundary Magnetic Field

Cited by in corpus (4)

• Critical phenomena at perfect and non-perfect surfaces
• Local Magnetization in the Boundary Ising Chain at Finite Temperature
• 1D action and partition function for the 2D Ising model with boundary magnetic field
• Ising model in a boundary magnetic field with random discontinuities