[PDF] Top 20 Electron Monopole Duality in Quantum Hall Effect

... the Hall effect is re- markable in that it takes place in systems that are impre- cisely characterized on the microscopic ...their Hall conductances are quantized, the quantized values mutually agree ... 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

... 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

... teger quantum Hall (IQH) state ...fractional quantum Hall (FQH) states with specific filling factors 1/3, 2/3 ...neling effect in a quantum Hall ... See full document

... integer quantum Hall effect (IQHE) in two dimensional electron system (2DEG) upon strong magnetic fields corresponding to complete fillings of succeeding Landau levels (LLs), the surpris- ing ... See full document

... “fractional quantum Hall effect” ...the electron also does not play any particular role in holding the area ...an effect of Kramer’s time reversal on the change in the charge of the ... See full document

... In figure 1, we can see clearly the appearance of oscillations and oscillations are controlled by the ratio of the Fermi energy and energy of cyclotron. First, phonons are confined in 2 dimensions x, y, only motion free ... See full document

... We derive 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

... 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

... fractional quantum Hall (FQH) ...integer quantum Hall ...the quantum Hall regime, we also present a novel method for measuring the zero-field diffusion thermopower of a 2DES at ... See full document

... of quantum Hall ...ing quantum localization effects which give rise to for- mation of quantum Hall ...Therefore, quantum localization effects are not significant in the system ... See full document

... an electron in the presence of a magnetic field, numerous models for the quantum Hall effect in both homogeneous and inhomogeneous superconductor films have been ...the quantum ... See full document

... out that the SdH theory is derived by considering Lan- dau quantization in the metallic regime without taking localization effects into account [24,25]. By observing the T -dependent Hall slope, however, the ... 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 ... See full document

... of a small size. In Section V, we show that near the classical energy minimum the Skyrmions all have equal size and interact via a residual point-like Coulomb interaction. At low temperatures a Wigner crystal with ... See full document

... The quantum Hall effect arises from the quantum behavior of two- dimensional, strongly-interacting electrons exposed to a strong, perpendicular magnetic field [1, ...collective quantum number in ... See full document

... the quantum spin-Hall effect as it has the most theory behind it and will inform how other more general systems ...spin-Hall effect is generally attributed to Kane and Mele ...that ... See full document

... Two-dimensional electron gas (2DEG) is a system of electrons that electrons can move freely in the 2D plane but they are confined in the third ...Field Effect Transistor(MOSFET) in the 1960s, [71] and has ... See full document

... So far we derived the HF equations for spinless electrons. In order to incorpo- rate spin one can now adapt either of the two most common procedures, the restricted Hartree-Fock (RHF) and the unrestricted Hatree-Fock ... See full document

... in (4) is the angle made between the vector x    y and the -axis;  represents anyon density. The effect of the operator phase transformation (3) is to attach m flux quanta to each electron. Composite ... See full document