Structures of Order Parameters in Inhomogeneous Phase States of Strongly Correlated Systems

Abstract

The structures of order parameters which determine the bounds of the phase states in the framework of the $C{P}^1$ Ginzburg-Landau model were considered. Using the formulation of this model in terms of the gauged order parameters (the unit vector $\mathbf{n}$, density ${\rho }^2$ and momentum of particles $\mathbf{c}$) we found that some universal properties of phases and field configurations are determined by the Hopf invariant, $Q$ and its generalizations. At a sufficiently high level of doping it was found that beyond the superconducting phase the charge distributions in the form of loops may be more preferable than those in the form of stripes. It was shown that in the phase with its mutual linking number $L<Q$ the transition to an inhomogeneous superconducting state with non-zero total momentum of pairs takes place. The universal mechanism of the topological coherence breaking of the superconducting state due to a decrease of the charge density was discussed.

arXiv commentLaTeX2e, 15 pages, 1 figure

References in corpus (15)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
• Knots and Particles
• Antiferromagnetic Order Induced by an Applied Magnetic Field in a High-Temperature Superconductor
• Partially Dual variables in SU(2) Yang-Mills Theory
• Spins in the Vortices of a High Temperature Superconductor
• To be or knot to be?
• Hidden symmetry and knot solitons in a charged two-condensate Bose system
• Static solitons with non-zero Hopf number
• Faddeev-Hopf knots: Dynamics of linked un-knots
• Dual neutral variables and knot solitons in triplet superconductors
• Monopoles and Knots in Skyrme Theory
• Conformal Field Theory and the Exact Solution of the BCS Hamiltonian
• Twisted Vortices in a Gauge Field Theory