The role of disorder is investigated in the context of the recently discovered topological insulator, which possesses a pair of helical edge states with opposing spins moving in opposite directions and exhibits the phenomenon of quantum spin Hall effect.Expand

Self-consistent solutions of the KS equations demonstrate that this formulation captures not only configurations with nonuniform densities but also topological properties such as fractional charge and fractional braid statistics for the quasiparticles excitations.Expand

Discovery of new particles is not usually associated with condensed matter physics, because, at one level, we already know all the particles that go into the Hamiltonian—namely, electrons and ions.… Expand

Using the microscopic theory of composite fermions, it is shown that the Fermi wave vectors at filling factors ν and 1-ν are equal when expressed in units of the inverse magnetic length, and are generally consistent with the experimental findings of Kamburov et al.Expand

It is proposed that the fractionalization of the angular momentum can be detected directly through the measurement of the pair correlation function in rotating ultracold atomic systems in the fractionsal quantum Hall regime.Expand

We consider in our work single crystal thin films of Bi(2)Se(3), grown by molecular beam epitaxy, both with and without Pb doping. Angle-resolved photoemission data demonstrate topological surface… Expand

Single particle basis functions for composite fermions are obtained from which many-composite fermion states confined to the lowest electronic Landau level can be constructed in the standard manner,… Expand

The Boltzmann theory including all scattering mechanisms gives an excellent account of high electric field transport in single as well as double-oxide graphene transistors and unambiguously that scattering from the substrate and superstrate surface optical phonons governs the high-field transport and heat dissipation over a wide range of experimentally relevant parameters.Expand

This work reports on the experimental observation of a quantum phase transition from a quantum-anomalous-Hall insulator to an Anderson insulator in a magnetic topological insulator by tuning the chemical potential.Expand

The nonperturbative fixed-phase diffusion Monte Carlo method is used to determine the phase diagram of the Wigner crystal in the ν-κ plane, where ν is the filling factor and κ is the strength of Landau-level (LL) mixing.Expand