Topic
Landau quantization
About: Landau quantization is a research topic. Over the lifetime, 9588 publications have been published within this topic receiving 180530 citations. The topic is also known as: Landau level.
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TL;DR: In this article, the Hall conductivity of a two-dimensional graphite system in the presence of a magnetic field is studied by quantum transport theory, and it is calculated analytically in the limit of strong magnetic fields and in the Boltzmann limit in weak magnetic fields.
Abstract: Within a self-consistent Born approximation, the Hall conductivity of a two-dimensional graphite system in the presence of a magnetic field is studied by quantum transport theory. The Hall conductivity is calculated for short- and long-range scatterers. It is calculated analytically in the limit of strong magnetic fields and in the Boltzmann limit in weak magnetic fields. The numerical calculation shows that the Hall conductivity displays the quantum Hall effect when the Fermi energy is in low-lying Landau levels and the scattering is weak. When the Fermi energy becomes away from $\ensuremath{\varepsilon}=0,$ it tends to the Boltzmann result.
587 citations
TL;DR: In this article, the authors derived 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.
Abstract: Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-like low-energy excitations. When Zeeman and spin-orbit interactions are neglected, its Landau levels are fourfold degenerate, explaining the 4e2/h separation between quantized Hall conductivity values seen in recent experiments. In this Letter we derive 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.
577 citations
TL;DR: Multilayer epitaxial graphene is investigated using far infrared transmission experiments in the different limits of low magnetic fields and high temperatures, finding the well-defined Landau level quantization up to room temperature at magnetic fields below 1 T, a phenomenon unusual in solid state systems.
Abstract: Multilayer epitaxial graphene is investigated using far infrared transmission experiments in the different limits of low magnetic fields and high temperatures. The cyclotron-resonance-like absorption is observed at low temperature in magnetic fields below 50 mT, probing the nearest vicinity of the Dirac point. The carrier mobility is found to exceed 250,000 cm2/(V x s). In the limit of high temperatures, the well-defined Landau level quantization is observed up to room temperature at magnetic fields below 1 T, a phenomenon unusual in solid state systems. A negligible increase in the width of the cyclotron resonance lines with increasing temperature indicates that no important scattering mechanism is thermally activated.
556 citations
TL;DR: In this article, the electronic structure and Landau levels of multi-layer GAs with different stacking orders were analyzed, and it was shown that electrostatic effects can induce a strongly divergent density of states in bi-and tri-layers, reminiscent of one-dimensional systems.
Abstract: We analyze, within a minimal model that allows analytical calculations, the electronic structure and Landau levels of graphene multi-layers with different stacking orders. We find, among other results, that electrostatic effects can induce a strongly divergent density of states in bi- and tri-layers, reminiscent of one-dimensional systems. The density of states at the surface of semi-infinite stacks, on the other hand, may vanish at low energies, or show a band of surface states, depending on the stacking order.
554 citations