Title:
Second order functional renormalization group approach to one-dimensional
systems in real and momentum space
Author(s):
Sbierski, Björn; Karrasch, Christoph
Year of publication:
2017
Available Date:
2018-04-24T08:06:59.117Z
Abstract:
We devise a functional renormalization group treatment for a chain of
interacting spinless fermions which is correct up to second order in
interaction strength. We treat both inhomogeneous systems in real space as
well as the translationally 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.
Part of Identifier:
ISSN (print): 2469-9950
DDC-Classification:
530 Physik
Publication Type:
Wissenschaftlicher Artikel
Also published in:
Physical Review B. - 96 (2017), 23, S.8 Seiten
URL of the Original Publication:
DOI of the Original Publication:
Department/institution:
Physik
Institut für Theoretische Physik
Comments:
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