[PDF] Top 20 Interactions in the integer quantum Hall effect

... mutual interactions and whether the above arguments also hold in the delocalised ...on Hall conductance measurements on mesoscopic MOSFET devices in the (V g , B)-plane, where V g is the gate ... See full document

... interparticle interactions have only a minor effect on most Fermi systems at zero field, the formation of highly degenerate Landau levels in large fields quenches the kinetic energy term in the many-body ... See full document

... In this thesis we have seen a number of examples of topological systems that can be studied numerically. In Chapter 3 we constructed lattice models of integer and fractional quantum Hall effects for ... See full document

... the quantum Hall effect, we obtain an effective action for the Skyrmion ...Coulomb interactions, the Skyrmion crystal has a phonon spectrum identical to that of an electronic Wigner ... See full document

... coherent quantum states in ...the quantum Hall ...the quantum Hall plateau transition regimes, the tip causes a strong response if it hits such a ...the integer quantum ... See full document

... of interactions, and to a good approximation, is uncoupled to other K , M manifolds even in the presence of moderately strong Coulomb ...introducing interactions into a degenerate manifold lowers the energy ... See full document

... the integer and fractional quantum Hall effects, the electric current flows through a thin layer under the strong mag- netic ...at integer and specific fractional filling factors where the ... See full document

... The spin-Chern number picture shows how the noncommutative explanation of the quantum Hall effect can be applied to other insulator systems, but it is an incomplete picture so far. One of the main ... See full document

... to Quantum Hall Insulators [4], violating the time reversal symmetry that controls the topol- ogy of the surface ...the Hall conductivity [5], and which is the central quantity in the present ...the ... See full document

... Some attributes characteristic for FQHE have been indicated within this model for fractional fillings 1/3 and 1/5 (in the latter case repulsion V was required above a certain threshold value, unless U enhances strongly) ... See full document

... occur at values (ge 2 /h)N where N is integer, e 2 /h the conductance quantum and g the system degeneracy. The distance between steps along the concentration axis is defined by the density of states gB / I ... See full document

... The mechanism for the de-population of the spin-up LL upon increasing B is now quite clear from fig. 3. Instead of an overall uniform decrease of the carrier density, we find locally shrinking clusters of fully filled ... See full document

... the integer quantum Hall effect (IQHE) is re- garded as a single-particle effect and by topology con- ditioned phenomenon related to Landau level (LL) quan- tization (as it has been ... See full document

... So when effort is made to push a field in a ring of a superconductor, quantized field is found. The magnetic field B became quantized according to B.A=nhc/2e. Here A is the area in which field got quantized, n is an ... See full document

... The Hall Effect was discovered by Sir Edwin Hall [1] in 1879 while he was under graduate student in Johns Hop- kins ...until quantum mechanics came in to appearance. A hundred years later, the ... See full document

... Since ρ = S (σ) this group acts identically on conductivity and resistivity, but this is not so for (most) subgroups, in which case we have to be clear about what z is. It is the fact that T and S do not commute that ... See full document

... double quantum well heterostructure, spatially indirect excitons are formed with a permanent dipole ...the quantum confined Stark effect (QCSE) [Miller et ... See full document

... classical Hall effect. In the quantum limit because of the geometric phases due to the finite superfluid density at superconductor grains, rich and complex Hall effect is found in this ... See full document

... a quantum system often leads to complex emergent be- ...electron interactions can cause spontaneous symmetry breaking within the spin and valley degrees of freedom, resulting in quantum Hall ... See full document

... plained by the inclusion of higher orders in the 1/N ex- pansion. Here, we have shown that neither can it be explained by the effects of weak disorder. In fact, to ex- plain this observation would require spectral weight ... See full document