Universality of semisuper-Efimov effect

TL;DR

This paper investigates the semisuper-Efimov effect across various systems, revealing its universality in 2D and 1D, and demonstrating its persistence under mass imbalance and weak two-body interactions.

Contribution

It demonstrates the emergence and universality of the semisuper-Efimov effect in mass-imbalanced bosons and in different dimensions, extending previous understanding of few-body quantum phenomena.

Findings

Semisuper-Efimov effect appears in mass-imbalanced bosons in 2D.

The scaling parameter remains finite even with extreme mass imbalance.

Weak two-body interactions do not destroy the semisuper-Efimov effect.

Abstract

We study the semisuper-Efimov effect, which is found for four identical bosons with a resonant three-body interaction in 2D, in various systems. Based on solutions of bound-state and renormalization-group equations, we first demonstrate an emergence of the semisuper-Efimov effect in mass-imbalanced bosons in 2D. Compared with the Efimov and the super-Efimov effects, the mass ratio-dependent scaling parameter is unexpectedly found to take on a finite value even for extremely mass-imbalanced situations, where the mass ratio is 0 or $\infty$. By a renormalization-group analysis, we also show that a weak two-body interaction sustains the semisuper-Efimov effect. Finally, we liberate the universality of the semisuper-Efimov effect from 2D by showing that bosons with linear-dispersion relation support the semisuper-Efimov effect in 1D.