Dresden 2009 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 6: Postersession Correlated Electrons: (General) Theory, Low-Dimensional Systems, Kondo Physics, Heavy Fermions, Quantum-Critical Phenomena

TT 6.33: Poster

Montag, 23. März 2009, 13:00–16:45, P1A

Dynamical correlation functions in the Ising model with a boundary — •Dirk Schuricht and Fabian H. L. Essler — The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, United Kingdom

Using scanning tunneling microscopy one can measure the local density of states in the vicinity of impurities. In one-dimensional systems, like stripes in high-temperature superconductors or carbon nanotubes, an impurity is equivalent to a boundary. This motivates the study of correlation functions in models with boundaries. In particular, the low-energy properties of strongly correlated systems are typically described by boundary field theories. We have calculated the dynamical correlation functions in the semi-infinite quantum Ising chain in the presence of a boundary magnetic field [1]. The used form-factor expansion is found to be fastly convergent for M|R|>0.1, where R is the distance from the boundary and 1/M 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.

[1] D. Schuricht and F. H. L. Essler, J. Stat. Mech.: Theor. Exp. P11004 (2007).