Magnetic crystals and helical liquids in alkaline-earth fermionic gases

Nature Communications
Simone BarbarinoRosario Fazio

Abstract

The joint action of a magnetic field and of interactions is crucial for the appearance of exotic quantum phenomena, such as the quantum Hall effect. Owing to their rich nuclear structure, equivalent to an additional synthetic dimension, one-dimensional alkaline-earth(-like) fermionic gases with synthetic gauge potential and atomic contact repulsion may display similar related properties. Here we show the existence and the features of a hierarchy of fractional insulating and conducting states by means of analytical and numerical methods. We demonstrate that the gapped states are characterized by density and magnetic order emerging solely for gases with effective nuclear spin larger than 1/2, whereas the gapless phases can support helical modes. We finally argue that these states are related to an unconventional fractional quantum Hall effect in the thin-torus limit and that their properties can be studied in state-of-the-art laboratories.

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Citations

Dec 22, 2016·Nature·S KolkowitzJ Ye
Oct 31, 2015·Scientific Reports·Zhongbo YanZhong Wang
Dec 30, 2017·Physical Review Letters·Areg GhazaryanMohammad Hafezi
Feb 13, 2016·Physical Review. E·Li-Ping YangY Meurice
Mar 2, 2019·Physical Review Letters·Jeong Ho HanY Shin
Jan 21, 2017·Physical Review Letters·Tomoki Ozawa, Iacopo Carusotto
Jun 24, 2017·Physical Review Letters·Luca TaddiaRosario Fazio
Nov 21, 2015·Physical Review Letters·H M PriceN Goldman
Dec 8, 2016·Physical Review Letters·L F LiviL Fallani
Feb 6, 2021·Physical Review Letters·Maximilian BuserThierry Giamarchi
Mar 30, 2017··Eyal CornfeldMarcello Calvanese Strinati

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Software Mentioned

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