141 citations · 943 across the 31 of their papers we have counts for
20 papers · 1 filter
Spin chain description of rotating bosons at
Emma Wikberg, Emil J. Bergholtz, Anders Karlhede
We consider bosons at Landau level filling on a thin torus. In analogy with previous work on fermions at filling , we map the low-energy sector onto a spin-1/2 chain.…
Quantum Hall Circle
E. J. Bergholtz, A. Karlhede
We consider spin-polarized electrons in a single Landau level on a cylinder as the circumference of the cylinder goes to infinity. This gives a model of interacting electrons on a…
Hierarchy wave functions--from conformal correlators to Tao-Thouless states
E. J. Bergholtz, T. H. Hansson, M. Hermanns +2
Laughlin's wave functions, describing the fractional quantum Hall effect at filling factors , can be obtained as correlation functions in conformal field theory, and re…
Quantum Hall system in Tao-Thouless limit
E. J. Bergholtz, A. Karlhede
We consider spin-polarized electrons in a single Landau level on a torus. The quantum Hall problem is mapped onto a one-dimensional lattice model with lattice constant , wh…
Quantum Hall wave functions on the torus
M. Hermanns, J. Suorsa, E. J. Bergholtz +2
We present explicit expressions for a large set of hierarchy wave functions on the torus. Included are the Laughlin states, the states in the positive Jain series, and recently obs…
Microscopic theory of the quantum Hall hierarchy
E. J. Bergholtz, T. H. Hansson, M. Hermanns +1
We solve the quantum Hall problem exactly in a limit and show that the ground states can be organized in a fractal pattern consistent with the Haldane-Halperin hierarchy, and with…