Semiclassical eigenstates of four-sublattice antiferromagnets

Abstract

Applying Bohr-Sommerfeld quantization and the topological phase of spin path integrals, one can determine the multiplicities, lattice symmetries, and eigenvalue clustering pattern of the low-lying singlet eigenstates of the triangular and fcc antiferromagnets with 4-sublattice classical ground states. In the triangular case, the clustering pattern agrees with numerical results of Lecheminant et al (Phys. Rev. B 52, 6647 (1995)).

4 pages, 1 figure, 1 table. Clarifications, correction of inconsistent notations, and citation of Bernu et al 1992

References in corpus (6)

• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Suppression of tunneling by interference in half-integer--spin particles
• Destructive quantum interference in spin tunneling problems
• $J_1-J_2$ quantum Heisenberg antiferromagnet on the triangular lattice: a group symmetry analysis of order by disorder
• Fluctuation-induced phase in CsCuCl3 in transverse magnetic field: Theory
• Low-Lying Excited States of Quantum Antiferromagnets on a Triangular Lattice

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• Quantum rotational band model for the Heisenberg molecular magnet Mo72Fe30
• Broken parity and a chiral ground state in the frustrated magnet CdCr2O4
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• Bohr-Sommerfeld quantization of spin Hamiltonians
• Quantum spin liquids: a large-S route
• Effective theories for quantum spin clusters: Geometric phases and state selection by singularity
• Effective Hamiltonian and low-lying energy clustering patterns of four-sublattice antiferromagnets
• Semiclassical mechanics of a non-integrable spin cluster
• Three-state Potts nematic order in stacked frustrated spin models with SO(3) symmetry
• The quantum spin quadrumer
• Quantum order by disorder in Frustrated Spin Nanotubes