Evidence for chiral graviton modes in fractional quantum Hall liquids

J Liang, Z Liu, Z Yang, Y Huang, U Wurstbauer… - Nature, 2024 - nature.com
Exotic physics could emerge from interplay between geometry and correlation. In fractional
quantum Hall (FQH) states, novel collective excitations called chiral graviton modes (CGMs) …

Bimetric theory of fractional quantum hall states

A Gromov, DT Son - Physical Review X, 2017 - APS
We present a bimetric low-energy effective theory of fractional quantum Hall (FQH) states
that describes the topological properties and a gapped collective excitation, known as the …

Splitting of the Girvin-Macdonald-Platzman density wave and the nature of chiral gravitons in the fractional quantum Hall effect

AC Balram, GJ Sreejith, JK Jain - Physical Review Letters, 2024 - APS
A fundamental manifestation of the nontrivial correlations of an incompressible fractional
quantum Hall (FQH) state is that an electron added to it disintegrates into more elementary …

Engineering artificial graphene in a two-dimensional electron gas

M Gibertini, A Singha, V Pellegrini, M Polini… - Physical Review B …, 2009 - APS
At low energy, electrons in doped graphene sheets behave like massless Dirac fermions
with a Fermi velocity, which does not depend on carrier density. Here we show that …

Spectral sum rules and magneto-roton as emergent graviton in fractional quantum Hall effect

S Golkar, DX Nguyen, DT Son - Journal of High Energy Physics, 2016 - Springer
A bstract We consider gapped fractional quantum Hall states on the lowest Landau level
when the Coulomb energy is much smaller than the cyclotron energy. We introduce two …

Higher-spin theory of the magnetorotons

S Golkar, DX Nguyen, MM Roberts, DT Son - Physical review letters, 2016 - APS
Fractional quantum Hall liquids exhibit a rich set of excitations, the lowest energy of which
are the magnetorotons with dispersion minima at a finite momentum. We propose a theory of …

Fractional quantum Hall effect at the filling factor

KKW Ma, MR Peterson, VW Scarola, K Yang - arxiv preprint arxiv …, 2022 - arxiv.org
The fractional quantum Hall (FQH) effect at the filling factor $\nu= 5/2$ was discovered in
GaAs heterostructures more than 35 years ago. Various topological orders have been …

Lorentz shear modulus of a two-dimensional electron gas at high magnetic field

IV Tokatly, G Vignale - Physical Review B—Condensed Matter and Materials …, 2007 - APS
We show that the Lorentz shear modulus—one of the three elastic moduli of a
homogeneous electron gas in a magnetic field—can be calculated exactly in the limit of high …

State counting for excited bands of the fractional quantum Hall effect: Exclusion rules for bound excitons

AC Balram, A Wójs, JK Jain - Physical Review B—Condensed Matter and …, 2013 - APS
Exact diagonalization studies have revealed that the energy spectrum of interacting
electrons in the lowest Landau level splits, nonperturbatively, into bands, which is …

Electron-electron interactions in artificial graphene

E Räsänen, CA Rozzi, S Pittalis, G Vignale - Physical review letters, 2012 - APS
Recent advances in the creation and modulation of graphenelike systems are introducing a
science of “designer Dirac materials”. In its original definition, artificial graphene is a man …