# Interplay between lattice-scale physics and the quantum Hall effect in graphene

@article{Alicea2007InterplayBL, title={Interplay between lattice-scale physics and the quantum Hall effect in graphene}, author={Jason Alicea and Matthew P. A. Fisher}, journal={Solid State Communications}, year={2007}, volume={143}, pages={504-509} }

## 17 Citations

Composite fermions and broken symmetries in graphene.

- PhysicsNature communications
- 2015

In the first two Landau levels, the two-flux composite-fermion sequences of FQH states between each integer filling factor suggest a broken-valley symmetry, consistent with the observation of a gap at charge neutrality and zero field.

Phase diagram for the ν=0 quantum Hall state in monolayer graphene

- Physics
- 2012

The $\nu=0$ quantum Hall state in a defect-free graphene sample is studied within the framework of quantum Hall ferromagnetism. We perform a systematic analysis of the pseudospin anisotropies, which…

HIGH FIELD QUANTUM HALL EFFECT IN DISORDERED GRAPHENE NEAR THE DIRAC POINT

- Physics
- 2012

We investigate on the conductance properties of low mobility graphene in the quantum Hall regime at filling factor less than \({\textit v}=2.\) For this purpose, we compare the high-field…

The effect of spin mixing on the quantum Hall effect in graphene

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2009

It is found that the spin-orbit coupling can open a gap in the energy spectrum of the counterpropagating edgeStates in the ν = 0 plateau region, while the edge states in other plateau regions remain gapless.

Properties of graphene: a theoretical perspective

- Physics
- 2010

The electronic properties of graphene, a two-dimensional crystal of carbon atoms, are exceptionally novel. For instance, the low-energy quasiparticles in graphene behave as massless chiral Dirac…

Electron–hole coexistence in disordered graphene probed by high-field magneto-transport

- Physics
- 2010

We report on magneto-transport measurement in disordered graphene under a pulsed magnetic field of up to 57 T. For large electron or hole doping, the system displays the expected anomalous integer…

Splitting of critical energies in the n=0 Landau level of graphene

- Physics
- 2009

The lifting of the degeneracy of states from the graphene n=0 Landau level (LL) is investigated through a non-interacting tight-binding model with random hoppings. A disorder-driven splitting of two…

Enhancement of nonlocal exchange near isolated band crossings in graphene

- Physics
- 2011

The physics of non-local exchange interactions in graphene sheets is studied within a $\pi$-orbital tight-binding model using a Hartree-Fock approximation and Coulomb interactions modified at short…

Electronic properties of graphene

- ChemistryReviews of Modern Physics
- 2009

Graphene is the first example of truly two‐dimensional crystals – it's just one layer of carbon atoms. It turns out that graphene is a gapless semiconductor with unique electronic properties…

Quantum Hall Ferromagnetism in Multicomponent Systems

- Physics
- 2017

The present thesis deals with two-dimensional quantum Hall systems in which the electrons may be endowed with multiple discrete degrees of freedom. Quantum Hall ferromagnetism provides a framework to…

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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 low-energy behavior of…

Electron interactions in graphene in a strong magnetic field

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Graphene in the quantum Hall regime exhibits a multicomponent structure due to the electronic spin and chirality degrees of freedom. While the applied field breaks the spin symmetry explicitly, we…

Experimental observation of the quantum Hall effect and Berry's phase in graphene

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An experimental investigation of magneto-transport in a high-mobility single layer of graphene observes an unusual half-integer quantum Hall effect for both electron and hole carriers in graphene.

Fractional quantum Hall effect in graphene

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Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore graphene provides a natural vehicle to observe the integral…

SU(4) composite fermions in graphene : Fractional quantum Hall states without analog in GaAs

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Theoretical studies of the fractional quantum Hall effect (FQHE) in graphene have so far focused on the plausibility and stability of the previously known FQHE states for the interaction matrix…

Randomness-induced XY ordering in a graphene quantum hall ferromagnet.

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It is argued that such a random field stabilizes the XY ferromagnet state, which is a coherent equal-weight mixture of the K and K' valley states.

Quantum Hall ferromagnetism in graphene.

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A criterion for the occurrence of interaction-driven quantum Hall effects near intermediate integer values of e2/h due to charge gaps in broken symmetry states is derived.

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The fractional quantum Hall states of Dirac electrons in a graphene layer in different Landau levels are investigated, finding that the ground state of the 2/3 system is fully valley-unpolarized and the energy gaps for electrons on the Landau-level index are suppressed.

Electronic properties of disordered two-dimensional carbon

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Two-dimensional carbon, or graphene, is a semimetal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of…

Unconventional integer quantum Hall effect in graphene.

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- 2005

It is demonstrated that monolayer graphite films have quasiparticle excitations that can be described by (2+1)-dimensional Dirac theory, which produces an unconventional form of the quantized Hall conductivity sigma(xy) = -(2e2/h)(2n+1) with n = 0, 1, ..., which notably distinguishes graphene from other materials where the integer quantum Hall effect was observed.