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

George S. Kliros

Physica A: Statistical Mechanics and its Applications, 1992, vol. 183, issue 1, 209-222

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

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:183:y:1992:i:1:p:209-222

DOI: 10.1016/0378-4371(92)90187-U

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