Supersymmetry and multicriticality in a ladder of constrained fermions

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.

23 pages, 13 figures

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• The density-matrix renormalization group in the age of matrix product states
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Quantum Many-Body Scars in Optical Lattices
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• Native three-body interaction in superconducting circuits
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Cited by in corpus (4)

• From orthosymplectic structure to super topological matter
• Supersymmetry on the honeycomb lattice: resonating charge stripes, superfrustration, and domain walls
• Emergent spacetime supersymmetry in an interacting Kitaev chain with explicit supersymmetry
• Local symmetries and extensive ground-state degeneracy of a 1D supersymmetric fermionic chain