Exact renormalization group for quantum spin systems
Abstract
We show that the diagrammatic approach to quantum spin systems developed in a seminal work by Vaks, Larkin, and Pikin [Sov. Phys. JETP 26, 188 (1968)] can be embedded in the framework of the functional renormalization group. The crucial insight is that the generating functional of the time-ordered connected spin correlation functions of an arbitrary quantum spin system satisfies an exact renormalization group flow equation which resembles the corresponding flow equation of a system of interacting bosons. The spin algebra is implemented via a non-trivial initial condition for the renormalization group flow. Our method is rather general and offers a new non-perturbative approach to quantum spin systems.
Cite
@article{arxiv.1807.02524,
title = {Exact renormalization group for quantum spin systems},
author = {Jan Krieg and Peter Kopietz},
journal= {arXiv preprint arXiv:1807.02524},
year = {2019}
}
Comments
6 pages, 1 figure, 1 table; revised main text and added Supplemental Material