Физика Низких Температур: Том 25, Выпуск 8-9 (Август 1999), c. 936-943    ( к оглавлению , назад )

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

A. A. Slutskin, V. V. Slavin, and H. A. Kovtun

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47, Lenin Ave., 310164, Kharkov, Ukraine
E-mail: slutskin@theor.kharkov.ua

(Received March 29, 1999)

Аннотация

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 resides universally 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 describe the ground state fully has been formulated. Arguments have been adduced that charge ordering into stripes in high-Tc superconductors testifies to the presence of a "frozen" electron phase in these systems.

PACS:
64.60.Cn - Order-disorder transformations; statistical mechanics of model systems
64.60.-i - General studies of phase transitions (see also 63.70.+h Statistical mechanics of lattice vibrations and displacive phase transitions; for critical phenomena in solid surfaces and interfaces, and in magnetism, see 68.35.Rh, and 75.40.-s, respectively)