Supersymmetry and multicriticality in a ladder of constrained fermions

Natalia Chepiga*, Jiri Minár, Kareljan Schoutens

*Corresponding author for this work

Research output: Contribution to journalArticleScientific

1 Citation (Scopus)
11 Downloads (Pure)

Abstract

Supersymmetric lattice models of constrained fermions are known to feature exotic phenomena such as superfrustration, with an extensive degeneracy of ground states, the nature of which is however generally unknown. Here we address this issue by considering a superfrustrated model, which we deform from the supersymetric point. By numerically studying its two-parameter phase diagram, we reveal a rich phenomenology. The vicinity of the supersymmetric point features period-4 and period-5 density waves which are connected by a floating phase (incommensurate Luttinger liquid) with smoothly varying density. The supersymmetric point emerges as a multicritical point between these three phases. Inside the period-4 phase we report a valence-bond solid type ground state that persists up to the supersymmetric point. Our numerical data for transitions out of density-wave phases are consistent with the Pokrovsky-Talapov universality class. Furthermore, our analysis unveiled a period-3 phase with a boundary determined by a competition between single and two-particle instabilities accompanied by a doubling of the wavevector of the density profiles along a line in the phase diagram.

Original languageEnglish
Article number059
JournalSciPost Physics
Volume11
Issue number3
DOIs
Publication statusPublished - 2021

Fingerprint

Dive into the research topics of 'Supersymmetry and multicriticality in a ladder of constrained fermions'. Together they form a unique fingerprint.

Cite this