arXiv:1008.1913v1 [cond-mat.mes-hall]
We investigate the coherent mixing of co-propagating edge channels in a quantum Hall bar produced by step potentials. In the case of two edge channels it is found that, although a single step induces only a few percent mixing, a series of steps could yield 50% mixing. In addition, a strong mixing is found when the potential height of a single step allows a different number of edge channels on the two sides of the step. Charge density probability has been also calculated even for the case where the step is smoothened.
Phys. Rev. B 82, 045403 (2010)
J. Stat. Mech. (2010) L03001
In this paper we study interacting quantum systems defined on a one-dimensional lattice with arbitrary boundary conditions, and employ the multiscale entanglement renormalization ansatz to study boundary critical phenomena. We show how to compute the average of any local operator as a function of the distance from the boundary as well as the deviation of the ground state energy due to the presence of the boundary.