Year: 2003
Type: article
Abstract: For the $S=1$ system with general isotropic nearest-neighbor exchange, we derive the low-energy description of the spin nematic phase in terms of the ${\mathrm{RP}}^{2}$ nonlinear $\ensuremath{\sigma}$ model. In one dimension, quantum fluctuations destroy long-range nematic (quadrupolar) ordering, leading to the formation of a gapped spin liquid state being an analog of the Haldane phase for a spin nematic. Nematic analog of the Belavin-Polyakov instanton with ${\ensuremath{\pi}}_{2}$ topological charge 1/2 is constructed. In two dimensions the long-range order is destroyed by thermal fluctuations and at finite temperature the system is in a renormalized classical regime. Behavior in external magnetic field is discussed.
Authors: B. A. Ivanov, A. K. Kolezhuk
Institutions: Institute of Magnetism, Leibniz University Hannover
Language: Latvian
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2056561963