Decomposition of variables and duality in non-Abelian models

A. P. Protogenov^a, V. A. Verbus<sup>b

a</sup> Institute of Applied Physics, Russian Academy of Sciences
^b Institute for Physics of Microstructures, Russian Academy of Sciences

Abstract: We consider inhomogeneous current states in low-dimensional systems characterized by spatial separation of phase states with ordered spin and charge degrees of freedom. We show that near the self-duality point in the Ginzburg–Landau spinor model, the inhomogeneity degree of non-Abelian states is higher than that of states with an Abelian distribution of degrees of freedom.

Keywords: strongly correlated system, low-dimensional electron system, inhomogeneous current state, Ginzburg–Landau model, Hopf invariant.

DOI: 10.4213/tmf6063

 English version: Theoretical and Mathematical Physics, 2007, 151:3, 863–868

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