



01583nas a2200145   4500008004100000245006900041210006900110260001500179300001100194490000900205520112300214100002301337700002301360856005401383       2016                        eng d00aLattice Laughlin states on the torus from conformal field theory0 aLattice Laughlin states on the torus from conformal field theory  c2016/01/28  a0131020 v20163 aConformal field theory has turned out to be a powerful tool to derive two-dimensional lattice models displaying fractional quantum Hall physics. So far most of the work has been for lattices with open boundary conditions in at least one of the two directions, but it is desirable to also be able to handle the case of periodic boundary conditions. Here, we take steps in this direction by deriving analytical expressions for a family of conformal field theory states on the torus that is closely related to the family of bosonic and fermionic Laughlin states. We compute how the states transform when a particle is moved around the torus and when the states are translated or rotated, and we provide numerical evidence in particular cases that the states become orthonormal up to a common factor for large lattices. We use these results to find the S -matrix of the states, which turns out to be the same as for the continuum Laughlin states. Finally, we show that when the states are defined on a square lattice with suitable lattice spacing they practically coincide with the Laughlin states restricted to a lattice.1 aDeshpande, Abhinav1 aNielsen, Anne, E B  uhttp://stacks.iop.org/1742-5468/2016/i=1/a=013102