Phase transition in two-dimensional multicomponent Bose liquid: a new type of quasi-long-range order

TL;DR

This paper investigates phase transitions in two-dimensional multicomponent Bose liquids, revealing a new quasi-long-range order and how the transition mechanism changes when the number of components exceeds four.

Contribution

It introduces a novel phase transition in 2D multicomponent Bose liquids and characterizes the associated quasi-long-range order, including the transition temperature and the change in physical mechanism for large component numbers.

Findings

Existence of finite temperature phase transition in 2D multicomponent Bose liquids

Identification of a new type of quasi-long-range order

Transition mechanism changes for component number exceeding four

Abstract

The $\nu$-component two-dimensional (2D) Bose liquid is considered. It is shown that the finite temperature phase transition exists in this 2D continuously degenerate multicomponent system. The new type of quasi-long-range order occurs as a result of this transition. The correlation function in ordered state is a product of the power-law XY-universality class type function and the exponential function corresponding to the $SU(\nu)$ invariant model. The transition temperature is calculated for the diluted system. It is found that the physical mechanism of the phase transition is changed when $\nu$ exceeds the critical value $\nu_c = 4$. The experimental realization of the considered model is discussed briefly.