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Abundance of Hard-Hexagon Crystals in the Quantum Pyrochlore Antiferromagnet.
Phys Rev Lett
September 2023
Max Planck Institute for the Physics of Complex Systems, Noethnitzer Strasse 38, 01187 Dresden, Germany.
We propose a simple family of valence-bond crystals as potential ground states of the S=1/2 and S=1 Heisenberg antiferromagnet on the pyrochlore lattice. Exponentially numerous in the linear size of the system, these can be visualized as hard-hexagon coverings, with each hexagon representing a resonating valence-bond ring. This ensemble spontaneously breaks rotation, inversion, and translation symmetries.
View Article and Find Full Text PDFPossible Inversion Symmetry Breaking in the S=1/2 Pyrochlore Heisenberg Magnet.
Phys Rev Lett
March 2021
Max Planck Institute for the Physics of Complex Systems, Noethnitzer Strasse 38, 01187 Dresden, Germany.
We address the ground-state properties of the long-standing and much-studied three-dimensional quantum spin liquid candidate, the S=1/2 pyrochlore Heisenberg antiferromagnet. By using SU(2) density-matrix renormalization group (DMRG), we are able to access cluster sizes of up to 128 spins. Our most striking finding is a robust spontaneous inversion symmetry breaking, reflected in an energy density difference between the two sublattices of tetrahedra, familiar as a starting point of earlier perturbative treatments.
View Article and Find Full Text PDFAb initio electron propagators in molecules with strong electron-phonon interaction: II. Electron Green's function.
J Chem Phys
July 2007
Department of Physics and Astronomy/3905, University of Wyoming, Laramie, Wyoming 82071, USA.
Ab initio electron propagator methods are developed to study electronic properties of molecular systems with strong electron-electron and electron-phonon interactions. For the calculation of electron Green's functions we apply a canonical small polaron transformation that intrinsically contains strong electron-phonon effects. In the transformed Hamiltonian, the energy levels for the noninteracting particles are shifted down by the relaxation (solvation) energies.
View Article and Find Full Text PDFRenormalized linked-cluster expansion for strongly correlated lattice fermions in d=.
Phys Rev B Condens Matter
February 1993
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