2,516 research outputs found
Formation of energy gap in higher dimensional spin-orbital liquids
A Schwinger boson mean field theory is developed for spin liquids in a
symmetric spin-orbital model in higher dimensions. Spin, orbital and coupled
spin-orbital operators are treated equally. We evaluate the dynamic correlation
functions and collective excitations spectra. As the collective excitations
have a finite energy gap, we conclude that the ground state is a spin-orbital
liquid with a two-fold degeneracy, which breaks the discrete spin-orbital
symmetry. Possible relevence of this spin liquid state to several realistic
systems, such as CaVV and NaSbTiO, are discussed.Comment: 4 pages with 1 figur
Time-Periodic Solutions of the Einstein's Field Equations II
In this paper, we construct several kinds of new time-periodic solutions of
the vacuum Einstein's field equations whose Riemann curvature tensors vanish,
keep finite or take the infinity at some points in these space-times,
respectively. The singularities of these new time-periodic solutions are
investigated and some new physical phenomena are found. The applications of
these solutions in modern cosmology and general relativity can be expected.Comment: 10 pages, 1 figur
On the String Equation of the BKP Hierarchy
The Adler-Shiota-van Moerbeke formula is employed to derive the
-constraints for the -reduced BKP hierarchy constrained by the string
equation. We also provide the Grassmannian description of the string equation
in terms of the spectral parameter.Comment: 17 page
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