Phase diagram of one-dimensional earth-alkaline cold fermionic atoms

TL;DR

This paper explores the complex phase diagram of one-dimensional earth-alkaline fermionic atoms, revealing multiple gapless and Mott-insulating phases with various orderings using advanced theoretical and numerical methods.

Contribution

It provides a detailed analysis of the phase diagram for these atoms, identifying new phases and orderings not previously characterized.

Findings

Four gapless phases with spin gaps at incommensurate filling

Seven Mott-insulating phases with exotic hidden orderings at half-filling

Identification of superconducting and density-wave instabilities

Abstract

The phase diagram of one-dimensional earth-alkaline fermionic atoms and ytterbium 171 atoms is investigated by means of a low-energy approach and density-matrix renormalization group calculations. For incommensurate filling, four gapless phases with a spin gap are found and consist of two superconducting instabilities and two coexisting bond and charge density-waves instabilities. In the half-filled case, seven Mott-insulating phases arise with the emergence of four non-degenerate phases with exotic hidden orderings.