The Ground State of the ``Frozen'' Electron Phase in Two-Dimensional Narrow-Band Conductors with a Long-Range Interelectron Repulsion. Stripe Formation and Effective Lowering of Dimension

National Academy of Sciences of Ukraine, Kievo, Kyiv City, Ukraine
Low Temperature Physics (Impact Factor: 0.79). 03/1999; 25(8-9). DOI: 10.1063/1.593801
Source: arXiv


In narrow-band conductors a weakly screened Coulomb interelectron repulsion can supress narrow-band electrons' hopping, resulting in formation of a ``frozen'' electron phase which differs principally from any known macroscopic self-localized electron state including the Wigner crystal. In a zero-bandwidth limit the ``frozen'' electron phase is a classical lattice system with a long-range interparticle repulsion. The ground state of such systems has been considered in the case of two dimensions for an isotropic pair potential of the mutual particle repulsion. It has been shown that particle ordering into stripes and effective lowering of dimension universally resides in the ground state for any physically reasonable pair potential and for any geometry of the conductor lattice. On the basis of this fact a rigorous general procedure to fully describe the ground state has been formulated. Arguments have been adduced that charge ordering in High-T_c superconductors testifies to presence of a ``frozen'' electron phase in these systems. Comment: 5 pages, LaTeX 2.09, 1 figure in external PostScript files. To appear in Phys.Rev B Rapid Communications

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Available from: Victor Slavin, Dec 22, 2012
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    ABSTRACT: It has been shown that particle ordering into stripes and effective lowering of dimension reside universally in the ground state of two-dimensional lattice systems with a long-range interparticle repulsion for any geometry of the host lattice and any physically reasonable isotropic pair potential. Examples are adatom systems and ensembles of self-localized charge carriers in layered or two-dimensional narrow-band conductors. On the basis of this fact a general analytical procedure has been formulated to describe fully the ground-state space structure of the above systems and the zero-temperature dependence of their filling factor on the chemical potential. The results obtained enable us to suggest that charge ordering into stripes revealed in copper-oxide superconductors can be caused solely by a long-range Coulomb hole-hole repulsion.
    Physical Review B 05/2000; 61(20). DOI:10.1103/PhysRevB.61.14184 · 3.74 Impact Factor