Formation of a large singlet bipolaron: Application to high-temperature bipolaronic superconductivity

Journal Article · Fri Mar 31 23:00:00 EST 1989 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.39.6575· OSTI ID:6449087

Emin, D; Hillery, M S

We variationally determine the conditions for the formation of large singlet bipolarons within the adiabatic approximation. We find that, in two- and three-dimensional electronic systems with only a short-range electron-lattice interaction, the only bipolarons are small bipolarons. Furthermore, with only the long-range (Froehlich) electron-lattice interaction characteristic of an ionic solid, we find the classical result that bipolarons will not form. However, with the presence of both short- and long-range components of the electron-lattice interaction, we find a novel domain within which large bipolarons can be formed. In particular, an exceptionally large ratio of the static to high-frequency dielectric constants, epsilon/sub 0/ and epsilon/sub infinity/, respectively, is critical to the formation of large singlet bipolarons. The remaining conditions for the formation of large singlet bipolarons are much less stringent for electronic systems of two dimensions than for those of three dimensions. Therefore, with the high-temperature superconductors having epsilon/sub 0/>>epsilon/sub infinity/, the notion that their charge carriers are singlet large bipolarons is a real possibility. Estimating the transition temperature for bipolaronic superconductivity as the temperature of the Bose-Einstein condensation, transition temperatures of the order of those found in the high-temperature superconductors are reasonably obtained.

• Research Organization: Sandia National Laboratories, Albuquerque, New Mexico 87185-5800
• OSTI ID: 6449087
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 39:10; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSE-EINSTEIN GAS
CARRIER DENSITY
CHALCOGENIDES
COPPER COMPOUNDS
COPPER OXIDES
EFFECTIVE MASS
ISOTOPE EFFECTS
MASS
OXIDES
OXYGEN COMPOUNDS
PEROVSKITES
PHYSICAL PROPERTIES
POLARONS
QUASI PARTICLES
SUPERCONDUCTORS
THERMODYNAMIC PROPERTIES
THREE-DIMENSIONAL CALCULATIONS
TRANSITION ELEMENT COMPOUNDS
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS