Properties of graphene: a theoretical perspective

DSL Abergel, V Apalkov, J Berashevich… - Advances in …, 2010 - Taylor & Francis
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 …

Inner and outer edge states in graphene rings: A numerical investigation

DA Bahamon, ALC Pereira, PA Schulz - Physical Review B—Condensed …, 2009 - APS
We numerically investigate quantum rings in graphene and find that their electronic
properties may be strongly influenced by the geometry, the edge symmetries, and the …

Transmission through a boundary between monolayer and bilayer graphene

T Nakanishi, M Koshino, T Ando - Physical Review B—Condensed Matter and …, 2010 - APS
The electron transmission between monolayer and bilayer graphene is theoretically studied
for zigzag and armchair boundaries within an effective-mass scheme. Due to the presence …

Real-space mapping of magnetically quantized graphene states

DL Miller, KD Kubista, GM Rutter, M Ruan… - Nature Physics, 2010 - nature.com
The symmetry of graphene's two carbon sublattices underlies its unique electronic structure
and half-integer quantum Hall effect. Quantized Hall resistance requires confinement of …

Theory of valley Hall conductivity in graphene with gap

T Ando - Journal of the Physical Society of Japan, 2015 - journals.jps.jp
The valley Hall conductivity, having opposite signs between the K and K′ valleys, is
calculated in disordered monolayer graphene with gap. In ideal graphene without disorder …

The nature of localization in graphene under quantum Hall conditions

J Martin, N Akerman, G Ulbricht, T Lohmann… - Nature physics, 2009 - nature.com
Particle localization is an essential ingredient in quantum Hall physics. In conventional high-
mobility two-dimensional electron systems such as in GaAs/AlGaAs semiconductor …

Additional levels between Landau bands due to vacancies in graphene: Towards defect engineering

ALC Pereira, PA Schulz - Physical Review B—Condensed Matter and …, 2008 - APS
We describe the effects of vacancies on the electronic properties of a graphene sheet in the
presence of a perpendicular magnetic field: from a single defect to an organized vacancy …

Inducing a topological transition in graphene nanoribbon superlattices by external strain

E Flores, JD Mella, E Aparicio, RI Gonzalez… - Physical Chemistry …, 2022 - pubs.rsc.org
Armchair graphene nanoribbons, when forming a superlattice, can be classified into different
topological phases, with or without edge states. By means of tight-binding and classical …

Shape of disorder-broadened Landau subbands in graphene

W Zhu, QW Shi, XR Wang, J Chen, JL Yang, JG Hou - Physical review letters, 2009 - APS
In this Letter, we calculate the density of states of graphene under a highly uniform magnetic
field and white-noise random potential. We discover that the disorder-broadened zero …

Theory of valley Hall conductivity in bilayer graphene

T Ando - Journal of the Physical Society of Japan, 2015 - journals.jps.jp
The valley Hall conductivity, having opposite signs between the K and K′ valleys, is
calculated in disordered bilayer graphene in the presence of gate electric field. Numerical …