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Title:
Quantum impurity in a Tomonaga-Luttinger Liquid wire: sub-leading corrections
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Abstract:
We study correlation functions of the spin-1/2 XXZ model with a single impurity. Numerically, by using a finite system with infinite boundary conditions; we can simulate a finite region of the impurity systems in the thermodynamic limit. Analytically, we use bosonization and boundary conformal field theory to obtain the leading and sub-leading exponents of the correlation functions.We find excellent agreements between numerical and analytical results. This demonstrates that infinite boundary conditions can be a powerful tool to study quantum impurity systems.
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