A correction to Schafroth's superconductivity solution of an ideal charged boson system

Journal Article · Wed May 15 00:00:00 EDT 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90344-8· OSTI ID:7155524

Friedberg, R; Lee, T D ^[1]; Ren, H C ^[2]

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1. Columbia Univ., New York, NY (United States)
2. Rockefeller Univ., New York, NY (United States)

The Schafroth superconductivity solution of an ideal gas of charged bosons (with an external uniform background charge density so that the whole system is electrically neutral) gives for the critical magnetic field H{sub c}(T)=(2e{lambda}{sup 2}{sub L}(T)){sup {minus}1}, in units h = c = 1, where T is the temperature (assumed to be less than {Tc}), {lambda}{sub L}(T) is the London length and e the boson charge. The authors show that the formula is invalid because the electrostatic exchange energy E{sub ex} between bosons has been completely left out in the Schafroth solution. Based on the Schafroth solution, E{sub ex} is found to be + {infinity} in the normal phase, but 0 in the condensed phase (at T = 0). Of course, the correct solution has to give a finite E{sub ex}. At low density the ideal charged boson system turns out not to be a superconductor, but becomes a type II superconductor at high density, with a critical field H{sub c} much larger than the Schafroth result.

• OSTI ID: 7155524
• Journal Information: Annals of Physics (New York); (United States), Vol. 208:1; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSE-EINSTEIN GAS
SUPERCONDUCTIVITY
CORRECTIONS
CRITICAL FIELD
FERMIONS
LONDON EQUATION
TYPE-II SUPERCONDUCTORS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUATIONS
MAGNETIC FIELDS
PHYSICAL PROPERTIES
SUPERCONDUCTORS
665411* - Basic Superconductivity Studies- (1992-)