Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-09-12
J. Stat. Mech.: Theor. Exp. P11004 (2007).
Physics
Condensed Matter
Strongly Correlated Electrons
32 pages
Scientific paper
10.1088/1742-5468/2007/11/P11004
We determine dynamical response functions $<{\cal O}^\dagger(t,x_1){\cal O}(0,x_2)>$ in the scaling limit of the quantum Ising chain on the half line in the presence of a boundary magnetic field. Using a spectral representation in terms of infinite volume form factors and a boundary state, we derive an expansion for the correlator that is found to be rapidly convergent as long as $|\frac{x_1+x_2}{\xi}|\agt 0.2$ where $\xi$ is the correlation length. At sufficiently late times we observe oscillatory behaviour of the correlations arbitrarily far away from the boundary. We investigate the effects of the boundary bound state that is present for a range of boundary magnetic fields.
Essler Fabian H. L.
Schuricht Dirk
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