Braid Group Representation and Fractional Quantum Hall Effect
We discuss Laughlin's ground state and its derivation in the path integral approach. When the external magnetic field is very strong, we regard all electron-electron interactions such as the Coulomb term as weak perturbations. It seems that from the non-trivial topology of the configuration space alone, it is possible to arrive at a Hamiltonian for which Laughlin wavefunctions are exact ground states.
Modern Physics Letters B
TING, Hian Ann, Christopher and Lai, C. H..
Braid Group Representation and Fractional Quantum Hall Effect. (1991). Modern Physics Letters B. 5, (19), 1293-1299. Research Collection Lee Kong Chian School Of Business.
Available at: http://ink.library.smu.edu.sg/lkcsb_research/1882