[PDF] Top 20 Effective potentials in the integral quantum Hall effect

... 共 2 兲 In this paper, Eq. 共 67 兲 is obtained explicitly and ex- actly for a noninteracting system of electrons. Further, it is a sum over states, rather than the amplitude squared of a single wave function. The fact, that ... See full document

... noninteracting quantum electron gas in an external magnetic field for any temperature and ...the quantum state with filling factor ν = 1, associated with the integral quantum Hall ... See full document

... an effective temperature for the disclinations, and virtual fluctuations can lead to a Kosterlitz-Thouless transition at which disclinations ...the effective potential of the dislocation density, which ... See full document

... coherent quantum states in ...saddle potentials in the landscape of random potential fluctuations in the quantum Hall ...the quantum Hall plateau transition regimes, the tip ... See full document

... The quantum electrodynamic (QED) behaviour is studied for quantum Hall effect ...(QHE). Quantum theory with conjecture of fractional charge quantization (quantum dipole moment), ... See full document

... The quantum Hall effect is our motivating ...the Hall conductance in the physics ...the integral of the curvature of a particular connection on the Brillouin zone (momentum space) of ... 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 diagonalisation of the complete Hamiltonian may be regarded as one of the less effective method in terms of computational efficiency. On the other hand, very few assumptions are needed and therefore one usually ... See full document

... an effective two-dimensional Hamiltonian to describe the low energy electronic exci- tations of a graphite bilayer, which correspond to chiral quasiparticles with a parabolic dispersion exhibiting Berry phase ... See full document

... origin of the unconventional QHE behavior lies in the coupling between two graphene layers, which transforms massless Dirac fermions, characteristic of single-layer (1L) graphene [3-9], (Fig. 1c) into a novel type of ... See full document

...  corresponds to particles and holes, respec- tively, 4 results from pseudospin/valley degeneration, 1 2 is associated with Berry’s phase for pseudospin) [13,15,16]); cf. Figure 2, which is well-explained by the band ... See full document

... This thesis presents a thorough characterisation - by means of THz-TD magneto-spectroscopy (THz-TDMS) and polarisation resolved (PR)-THz-TDMS - of high mobility 2DHGs in 0.8% and 1.3% compressively strained germanium ... See full document

... The Hall resistance for this two-dimensional system can be calculated based on (28), in fact it can be written in terms of    y ...The Hall potential is defined as the difference of potentials be- ... See full document

... We now turn to a discussion of the nature of these transitions. For the lowest LL of BLG, the possible internal quantum state of electrons comprises an octet described by the SU(4) spin- valley space and the 0-1 ... See full document

... that the quantization of Hall conductivity, produced by the Hopf term, is unaffected by weak disorder. The cal- culations presented in this work concern the perturbative effects of weak disorder. It is worth ... See full document

... Keywords Euler Hydrodynamics, Quantum Hall Fluid, Vortex Dynamics, Fractional Quantum Hall Effect, Anomalous Viscosity, Hall Expansion Coefficient.. Introduction Graphene is a monolayer [r] ... See full document

... Self-consistent calculations are made of the electrostatic Hall potential EHP, the local chemical potential LCP, and current density in a uniform ballistic quantum wire containing two-di[r] ... See full document

... spin Hall effect from the upper Pt capping layer, we designed the device structure to make sure that the FM layer can mostly sense the spin current from the bottom Pt layer, which arises mainly from the ... See full document

... We now proceed to a considerably more difficult case: the low E -field regime. In this regime, as the electric field becomes weaker, the energy gap gets smaller. As a result, there will be an unavoidable point where some ... See full document

... A fact that never fails to baffle our students is that a charge (Q) moving in a magnetic field (B) feels a force that is orthogonal to both the field and the velocity (v) of the charge. Therefore, when an electric current I ... See full document