90 citations · 178 across the 5 of their papers we have counts for
5 papers
Nontrivial ground-state degeneracies and generalized fractional excitations in the 1D lattice
Emma Wikberg
We study a 1D lattice Hamiltonian, relevant for a wide range of interesting physical systems like, e.g., the quantum-Hall system, cold atoms or molecules in optical lattices, and T…
Fractional domain walls from on-site softening in dipolar bosons
Emma Wikberg, Jonas Larson, Emil J. Bergholtz +1
We study dipolar bosons in a 1D optical lattice and identify a region in parameter space---strong coupling but relatively weak on-site repulsion---hosting a series of stable charge…
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.…
Degeneracy of non-abelian quantum Hall states on the torus: domain walls and conformal field theory
Eddy Ardonne, Emil J. Bergholtz, Janik Kailasvuori +1
We analyze the non-abelian Read-Rezayi quantum Hall states on the torus, where it is natural to employ a mapping of the many-body problem onto a one-dimensional lattice model. On t…
The Pfaffian quantum Hall state made simple--multiple vacua and domain walls on a thin torus
E. J. Bergholtz, J. Kailasvuori, E. Wikberg +2
We analyze the Moore-Read Pfaffian state on a thin torus. The known six-fold degeneracy is realized by two inequivalent crystalline states with a four- and two-fold degeneracy resp…