Partial lifting of degeneracy in the J₁-J₂-J₃ Ising antiferromagnet on the kagome lattice

Autor(en)

Jeanne Colbois, Bram Vanhecke, Laurens Vanderstraeten, Andrew Smerald, Frank Verstraete, Frédéric Mila

Abstrakt

Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the classical J1-J2-J3 Ising antiferromagnet on the kagome lattice. We establish the ground-state phase diagram of this model for J1>|J2|,|J3| based on exact results for the ground-state energies. When all the couplings are antiferromagnetic, the model has three macroscopically degenerate ground-state phases, and using tensor networks, we can calculate the entropies of these phases and of their boundaries very accurately. In two cases, the entropy appears to be a fraction of that of the triangular lattice Ising antiferromagnet, and we provide analytical arguments to support this observation. We also notice that, surprisingly enough, the dipolar ground state is not a ground state of the truncated model, but of the model with smaller J3 interactions, an indication of a very strong competition between low-energy states in this model.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Université Toulouse III Paul Sabatier, Ghent University , Karlsruher Institut für Technologie, École polytechnique fédérale de Lausanne

Journal

Physical Review B

Band

106

Anzahl der Seiten

20

ISSN

2469-9950

DOI

https://doi.org/10.1103/PhysRevB.106.174403

Publikationsdatum

11-2022

Peer-reviewed

Ja

ÖFOS 2012

103029 Statistische Physik

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/f4f26c22-7ddb-41a3-bb31-ea8aa5fbee8d