Repository logo
 

Color-dependent interactions in the three coloring model

Accepted version
Peer-reviewed

Loading...
Thumbnail Image

Type

Article

Change log

Authors

Verpoort, PC 
Simmons, J 
Castelnovo, Claudio  ORCID logo  https://orcid.org/0000-0003-1752-6343

Abstract

Since it was first discussed by Baxter in 1970, the three coloring model has been studied in several contexts, from frustrated magnetism to superconducting devices and glassiness. In presence of interactions, when the model is no longer exactly soluble, it was already observed that the phase diagram is highly nontrivial. Here we discuss the generic case of "color-dependent" nearest-neighbor interactions between the vertex chiralities. We uncover different critical regimes merging into one another: c=1/2 free fermions combining into c=1 free bosons; c=1 free bosons combining into c=2 critical loop models; as well as three separate c=1/2 critical lines merging at a supersymmetric c=3/2 critical point. When the three coupling constants are tuned to equal one another, transfer-matrix calculations highlight a puzzling regime where the central charge appears to vary continuously from 3/2 to 2.

Description

Keywords

cond-mat.stat-mech, cond-mat.stat-mech, 82B20

Journal Title

Physical Review B

Conference Name

Journal ISSN

2469-9950
2469-9969

Volume Title

98

Publisher

American Physical Society
Sponsorship
Engineering and Physical Sciences Research Council (EP/M007065/1)
This work was supported in part by Engineering and Physical Sciences Research Council (EPSRC) Grant No. GR/R83712/01 and by EPSRC Postdoctoral Research Fellowship EP/G049394/1 (C. Castelnovo), and by EPSRC Grant No. EP/D070643/1 (JJHS). P. Verpoort acknowledges funding by the Studienstiftung des deutschen Volkes.