Quantum dimer models and effective Hamiltonians on the pyrochlore lattice

Details Quantum dimer models and effective Hamiltonians on the pyrochlore lattice Quantum dimer models and effective Hamiltonians on the pyrochlore lattice

2005-08-21

arxiv.org/abs/cond-mat/0508504v1

Phys. Rev. B 73, 094430 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages

Scientific paper

10.1103/PhysRevB.73.094430

We study a large-N deformation of the S=1/2 pyrochlore Heisenberg antiferromagnet which leads to a soluble quantum dimer model at leading non-trivial order. In this limit, the ground state manifold -- while extensively degenerate -- breaks the inversion symmetry of the lattice, which implies a finite temperature Ising transition without translational symmetry breaking. At lower temperatures and further in the 1/N expansion, we discuss an effective Hamiltonian within the degenerate manifold, which has a transparent physical interpretation as representing dimer potential energies. We find mean-field ground states of the effective Hamiltonian which exhibit translational symmetry breaking. The entire scenario offers a new perspective on previous treatments of the SU(2) problem not controlled by a small parameter, in particular showing that a mean-field state considered previously encodes the physics of a maximally flippable dimer configuration. We also comment on the difficulties of extending our results to the SU(2) case, and note implications for classical dimer models.

Affiliated with

Also associated with

No associations

Rating

Quantum dimer models and effective Hamiltonians on the pyrochlore lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum dimer models and effective Hamiltonians on the pyrochlore lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum dimer models and effective Hamiltonians on the pyrochlore lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-462031