Inhomogeneous Current States in a Gauged Two-Component Ginzburg--Landau Model
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 182-189
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We consider the energy bounds of inhomogeneous current states in doped antiferromagnetic insulators in the framework of the two-component Ginzburg–Landau model. Using the formulation of this model in terms of the gauge-invariant order parameters (the unit vector $\bold n$, spin stiffness field $\rho^{2}$, and particle momentum $\bold c$), we show that this strongly correlated electron system involves a geometric small parameter that determines the degree of packing in the knots of filament manifolds of the order parameter distributions for the spin and charge degrees of freedom. We find that as the doping degree decreases, the filament density increases, resulting in a transition to an inhomogeneous current state with a free energy gain.
Keywords:
current state, knot of order parameter distribution, Hopf invariant.
@article{TMF_2005_144_1_a18,
author = {A. P. Protogenov and V. A. Verbus},
title = {Inhomogeneous {Current} {States} in a {Gauged} {Two-Component} {Ginzburg--Landau} {Model}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {182--189},
publisher = {mathdoc},
volume = {144},
number = {1},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a18/}
}
TY - JOUR AU - A. P. Protogenov AU - V. A. Verbus TI - Inhomogeneous Current States in a Gauged Two-Component Ginzburg--Landau Model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2005 SP - 182 EP - 189 VL - 144 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a18/ LA - ru ID - TMF_2005_144_1_a18 ER -
%0 Journal Article %A A. P. Protogenov %A V. A. Verbus %T Inhomogeneous Current States in a Gauged Two-Component Ginzburg--Landau Model %J Teoretičeskaâ i matematičeskaâ fizika %D 2005 %P 182-189 %V 144 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a18/ %G ru %F TMF_2005_144_1_a18
A. P. Protogenov; V. A. Verbus. Inhomogeneous Current States in a Gauged Two-Component Ginzburg--Landau Model. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 182-189. http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a18/