Soliton lattice

In Ref. [4], the soliton lattice configuration and energy within the SSH model were found numerically. Analytical expressions for these quantities can be obtained in the weak-coupling limit, when the gap 2A() is much smaller than the width of the re-electron band 4/0. At this point it is useful to define the lattice correlation length ... 

Fig. 28. Soliton lattice solution of the FvdM model with regularly spaced, distance 1, domain walls. The dashed line corresponds to the incommensurate phase with negligible potential modulation (K = 0). The plateaus represent the commensurate domains.

The magnetic oxide compound CUB2O4 hass attracted much attention because of its nature, such as successive phase transitions, the soliton lattice, etc. The properties have been studied by several experimental methods, involving the magnetic susceptibility [1], the specific heat [2], ESR [3, 4],, uSR [5], neutron diffraction [6, 7], nonlinear optics [8] etc. In these investigations, it has been found that the material undergoes... 

Keywords Carbon nanotubes Hubbard model Continual approach Non-linear equations Regular solutions Soliton lattices... 

Fig. 5a. Such behavior is typical for soliton solutions of non-linear Schroedinger equation, which is closely connected to the model of Hubbard [16]. Also note the cycle in Fig. 4b, such portrait may further be the typical feature of soliton lattice appearance.

First, due to some approaching we have obtained non-linear periodical wave functions of electron ion carbon nanotubes, which are presented soliton lattices. We consider soliton lattices of obtained type can be revealed by using the diffraction methods. The research based on these methods will make it possible to determine the parameters of the grids and connect them to the corresponding values in microscopic Hamiltonian. Besides these lattices can modulate sound fluctuations, that it is also necessary to take into account at the study of nanotubes by acoustic methods. 

Belonenko M.B., Demushkina E.V., Lebedev N.G. (2004) Soliton lattices of Habbard s electrons in carbon nanotubes. Symposium and Summer School Nano and Giga Challenges in Microelectronics. Research and Development Opportunities , (Cracow, Poland), 152. 

Figure 3-4. The order parameter A (x) for the sohton solution (thick line) and the electron density for the intragap state accompanying the soliton (dotted line) are shown to the left. To the right the spectrum of single-electron states for the soliton lattice configuration is depicted.

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