Small-cluster study of interacting fermions on a square lattice with next-nearest-neighbour interactions

摘要: Abstract We calculate the ground state energies and wavefunctions for small systems of interacting fermions on a square lattice with cylindrical topology. examine role next-nearest-neighbour interactions observed states: fractional quantum Hall super-conducting state. Several different probes fermion-pairing off-diagonal long-range order as flux quantization, binding energies, pair-correlation functions critical external magnetic field are investigated. Antiperiodic boundary conditions imposed in one direction provide test our numerical results within current size limitations.