Long-range ballistic transport of Brown-Zak fermions in graphene superlattices.

Abstract:

:In quantizing magnetic fields, graphene superlattices exhibit a complex fractal spectrum often referred to as the Hofstadter butterfly. It can be viewed as a collection of Landau levels that arise from quantization of Brown-Zak minibands recurring at rational (p/q) fractions of the magnetic flux quantum per superlattice unit cell. Here we show that, in graphene-on-boron-nitride superlattices, Brown-Zak fermions can exhibit mobilities above 106 cm2 V-1 s-1 and the mean free path exceeding several micrometers. The exceptional quality of our devices allows us to show that Brown-Zak minibands are 4q times degenerate and all the degeneracies (spin, valley and mini-valley) can be lifted by exchange interactions below 1 K. We also found negative bend resistance at 1/q fractions for electrical probes placed as far as several micrometers apart. The latter observation highlights the fact that Brown-Zak fermions are Bloch quasiparticles propagating in high fields along straight trajectories, just like electrons in zero field.

journal_name

Nat Commun

journal_title

Nature communications

authors

Barrier J,Kumaravadivel P,Krishna Kumar R,Ponomarenko LA,Xin N,Holwill M,Mullan C,Kim M,Gorbachev RV,Thompson MD,Prance JR,Taniguchi T,Watanabe K,Grigorieva IV,Novoselov KS,Mishchenko A,Fal'ko VI,Geim AK,Berdyugin AI

doi

10.1038/s41467-020-19604-0

subject

Has Abstract

pub_date

2020-11-13 00:00:00

pages

5756

issue

1

issn

2041-1723

pii

10.1038/s41467-020-19604-0

journal_volume

11

pub_type

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