Publisher Correction: Enhanced thermal Hall effect in the square-lattice Néel state

The square lattice shuffle, correction

1. A CORRECTION Theorem 3.6 in [1] contains an error in the stated bound. As is argued above the theorem, the statistical distance to the uniform distribution decreases by a factor O ( (m/ log m)−1/2 ) = O ((log n)1/2n−1/4) for every two iterations. This implies that the bound obtained for Theorem 3.6 should read O ( n1− t−1 2 1 4 (log n) t−1 2 1 2 ) . I am grateful to Justin Holmgren for point...

Flux State in Von Neumann Lattice and Fractional Hall Effect

Formulation of quantum Hall dynamics using von Neumann lattice of guiding center coordinates is presented. A topological invariant expression of the Hall conductance is given and a new mean field theory of the fractional Hall effect based on flux condensation is proposed. Because our mean field Hamiltonian has the same form as Hofstadter Hamiltonian, it is possible to understand characteristic ...

The integer quantum Hall effect of a square lattice with an array of point defects.

The electronic properties of a square lattice under an applied perpendicular magnetic field in the presence of impurities or vacancies are investigated by the tight-binding method including up to second nearest neighbor interactions. These imperfections result in new gaps and bands in the Hofstadter butterfly even when the second order interactions break the bipartite symmetry. In addition, the...

Evidence for Square Scattering in the Anomalous Hall Effect of Normal State Cuprate Superconductors

The dc Hall effect in the normal state of cuprate superconductors is anomalous because the longitudinal and transverse components of the current relative to an applied electric field seem to show different temperature dependent relaxation rates, γ0(T ) and γH(T ), respectively. To investigate this anomaly, we extend Hall angle measurements of YBa2Cu3O7 from dc to far-infrared frequencies (20-25...

Spin transport in the square lattice vortex state of rotational