Luttinger liquid properties from tensor network data

authored by

Michael Weyrauch, Mykhailo V. Rakov

Abstract

We study the XXZ Heisenberg model in a staggered magnetic field using the higher-order tensor renormalization group (HOTRG) method. Built into the tensor representation of the XXZ model is the U(1) symmetry, which is systematically maintained at each renormalization step. We determine the phase diagram of the model from the low-lying spectrum, and from the finite-size dependence of the spectrum we extract scaling dimensions, which are compared to predictions of low-energy field theory.

External Organisation(s)

National Metrology Institute of Germany (PTB)
Technische Universität Braunschweig
Uppsala University

Type

Article

Journal

Physical Review B

Volume

102

ISSN

2469-9950

Publication date

09.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Electronic version(s)

https://doi.org/10.1103/PhysRevB.102.104422 (Access: Unknown)