Strong electronic interaction and multiple quantum Hall ferromagnetic phases in trilayer graphene

Abstract

Quantum Hall effect provides a simple way to study the competition between single particle physics and electronic interaction. However, electronic interaction becomes important only in very clean graphene samples and so far the trilayer graphene experiments are understood within non-interacting electron picture. Here, we report evidence of strong electronic interactions and quantum Hall ferromagnetism seen in Bernal-stacked trilayer graphene. Due to high mobility ∼500,000 cm2 V−1 s−1 in our device compared to previous studies, we find all symmetry broken states and that Landau-level gaps are enhanced by interactions; an aspect explained by our self-consistent Hartree–Fock calculations. Moreover, we observe hysteresis as a function of filling factor and spikes in the longitudinal resistance which, together, signal the formation of quantum Hall ferromagnetic states at low magnetic field.

Intersubband Landau Level Couplings Induced by In-Plane Magnetic Fields in Trilayer Graphene

“…On comparing these results with the experimental data presented in recently reported in [34]. Our results, in combination with the states observed in Ref.…”

“…R xx minima, represented by the blue stripes in Fig. 1 ferromagnetism [34]. In this work, we focus our attention on the remaining LL crossings.…”

A Lieb-like lattice in a covalent-organic framework and its Stoner ferromagnetism

“…It also differs from systems with default-localized states with a strong Columbic repulsion (or a small hopping t ), such as the localized orbitals 32,33 in organic compounds 34–36 and nano-carbon structures 37–40 . Apparently, it is also different from magnetism induced by external electrical or magnetic fields 41–43 .…”

Landau Level Diagram and the Continuous Rotational Symmetry Breaking in Trilayer Graphene

“…The two variants, namely Bernal (ABA) [7][8][9][10][11][12][13][14][15][16][17][18] and rhombohedral (ABC) [19][20][21][22][23][24][25][26] stackings have been studied for their tunable symmetries. ABA-stacked TLG has a rich low energy bandstructure consisting of a monolayer graphene (MLG)-like linear and a bilayer graphene (BLG)-like quadratic bands 27,28 .…”