Spin and valley quantum Hall ferromagnetism in graphene

AF Young, CR Dean, L Wang, H Ren… - Nature Physics, 2012 - nature.com
Electronic systems with multiple degenerate degrees of freedom can support a rich variety of
broken symmetry states. In a graphene Landau level (LL), strong Coulomb interactions and …

Landau-level splitting in graphene in high magnetic fields

Y Zhang, Z Jiang, JP Small, MS Purewal, YW Tan… - Physical review …, 2006 - APS
The quantum Hall (QH) effect in two-dimensional electrons and holes in high quality
graphene samples is studied in strong magnetic fields up to 45 T. QH plateaus at filling …

Valley susceptibility of an interacting two-dimensional electron system

O Gunawan, YP Shkolnikov, K Vakili, T Gokmen… - Physical review …, 2006 - APS
We report direct measurements of the valley susceptibility, the change of valley population in
response to an applied symmetry-breaking strain, in an AlAs two-dimensional electron …

Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes

J Alicea, MPA Fisher - Physical Review B—Condensed Matter and Materials …, 2006 - APS
Starting from the graphene lattice tight-binding Hamiltonian with an on-site U and long-
range Coulomb repulsion, we derive an interacting continuum Dirac theory governing the …

Collective modes and skyrmion excitations in graphene quantum Hall ferromagnets

K Yang, S Das Sarma, AH MacDonald - Physical Review B—Condensed …, 2006 - APS
Graphene exhibits quantum Hall ferromagnetism in which an approximate SU (4) symmetry
involving spin and valley degrees of freedom is spontaneously broken. We construct a set of …

Observation of a nematic quantum Hall liquid on the surface of bismuth

BE Feldman, MT Randeria, A Gyenis, F Wu, H Ji… - Science, 2016 - science.org
Nematic quantum fluids with wave functions that break the underlying crystalline symmetry
can form in interacting electronic systems. We examined the quantum Hall states that arise …

[HTML][HTML] Charge nematicity and electronic Raman scattering in iron-based superconductors

Y Gallais, I Paul - Comptes Rendus Physique, 2016 - Elsevier
We review the recent developments in electronic Raman scattering measurements of charge
nematic fluctuations in iron-based superconductors. A simple theoretical framework of a d …

Phase transitions of Dirac electrons in bismuth

L Li, JG Checkelsky, YS Hor, C Uher, AF Hebard… - Science, 2008 - science.org
The Dirac Hamiltonian, which successfully describes relativistic fermions, applies equally
well to electrons in solids with linear energy dispersion, for example, in bismuth and …

Direct measurement of discrete valley and orbital quantum numbers in bilayer graphene

BM Hunt, JIA Li, AA Zibrov, L Wang, T Taniguchi… - Nature …, 2017 - nature.com
The high magnetic field electronic structure of bilayer graphene is enhanced by the spin,
valley isospin, and an accidental orbital degeneracy, leading to a complex phase diagram of …

Two‐dimensional electrons occupying multiple valleys in AlAs

M Shayegan, EP De Poortere, O Gunawan… - … status solidi (b), 2006 - Wiley Online Library
Two‐dimensional electrons in AlAs quantum wells occupy multiple conduction‐band minima
at the X‐points of the Brillouin zone. These valleys have large effective mass and g‐factor …