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arXiv · 1710.06373

Second order functional renormalization group approach to one-dimensional systems in real and momentum space

Björn Sbierski·Christoph Karrasch
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Abstract

We devise a functional renormalization group treatment for a chain of interacting spinless fermions which is correct up to second order in the interaction strength. We treat both inhomogeneous systems in real-space as well as the translational invariant case in a k-space formalism. The strengths and shortcomings of the different schemes as well as technical details of their implementation are discussed. We use the method to study two proof-of-principle problems in the realm of Luttinger liquid physics, namely reflection at interfaces and power laws in the occupation number as a function of crystal momentum.

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Björn Sbierski, Christoph Karrasch. 2017-12-14. Second order functional renormalization group approach to one-dimensional systems in real and momentum space. https://doi.org/10.1103/physrevb.96.235122

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