In particular, special attention is paid to the derivation of the conditions under which gapless edge states exist in the spectrum of graphene with "zigzag" and "armchair" edges. We report the realization of a single-layer graphene p-n junction in which carrier type and density in two adjacent regions are locally controlled by electrostatic gating. Graphene samples whose lateral size … Readers are referred to Chapter 4 for the basic concepts of quantum Hall effects in semiconductors, e.g. Graphene is a two-dimensional sheet of carbon atoms with properties that are superior to other materials. Below their upper critical field of 4 T, an integer quantum Hall effect coexists with superconductivity in the leads but with a plateau conductance that is larger than in the normal state. Disappointingly, however, the QHE has been observed … Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. We have realized an integer quantum Hall system with superconducting contacts by connecting graphene to niobium electrodes. Search for more papers by this author . It has also led to the establishment of a new metrological standard, the resistance quantum. Authors: C.L. The quantum Hall effect (QHE), one example of a quantum phenomenon that occurs on a truly macroscopic scale, has attracted intense interest since its discovery in 1980 and has helped elucidate many important aspects of quantum physics.
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