An exactly soluble model with tunable p-wave paired fermion ground states
Abstract
Motivated by the work of Kitaev, we construct an exactly soluble spin- model on honeycomb lattice whose ground states are identical to -wave paired fermions on square lattice, with tunable paring order parameters. We derive a universal phase diagram for this general p-wave theory which contains a gapped A phase and a topologically non-trivial B phase. We show that the gapless condition in the B phase is governed by a generalized inversion (G-inversion) symmetry under . The G-inversion symmetric gapless B phase near the phase boundaries is described by 1+1-dimensional gapless Majorana fermions in the asymptotic long wave length limit, i.e. the conformal field theory. The gapped B phase has G-inversion symmetry breaking and is the weak pairing phase described by the Moore-Read Pfaffian. We show that in the gapped B phase, vortex pair excitations are separated from the ground state by a finite energy gap.
Keywords
Cite
@article{arxiv.0708.0631,
title = {An exactly soluble model with tunable p-wave paired fermion ground states},
author = {Yue Yu and Ziqiang Wang},
journal= {arXiv preprint arXiv:0708.0631},
year = {2009}
}
Comments
6 pages, 2 figures, published version